首页 > 代码库 > [stm32] MPU6050 HMC5883 Kalman 融合算法移植
[stm32] MPU6050 HMC5883 Kalman 融合算法移植
一、卡尔曼滤波九轴融合算法stm32尝试
1、Kalman滤波文件[.h已经封装为结构体]
1 /* Copyright (C) 2012 Kristian Lauszus, TKJ Electronics-> All rights reserved-> 2 3 This software may be distributed and modified under the terms of the GNU 4 General Public License version 2 (GPL2) as published by the Free Software 5 Foundation and appearing in the file GPL2->TXT included in the packaging of 6 this file-> Please note that GPL2 Section 2[b] requires that all works based 7 on this software must also be made publicly available under the terms of 8 the GPL2 ("Copyleft")-> 9 10 Contact information 11 ------------------- 12 13 Kristian Lauszus, TKJ Electronics 14 Web : http://www->tkjelectronics->com 15 e-mail : kristianl@tkjelectronics->com 16 */ 17 18 #ifndef _Kalman_h 19 #define _Kalman_h 20 struct Kalman { 21 /* Kalman filter variables */ 22 double Q_angle; // Process noise variance for the accelerometer 23 double Q_bias; // Process noise variance for the gyro bias 24 double R_measure; // Measurement noise variance - this is actually the variance of the measurement noise 25 26 double angle; // The angle calculated by the Kalman filter - part of the 2x1 state vector 27 double bias; // The gyro bias calculated by the Kalman filter - part of the 2x1 state vector 28 double rate; // Unbiased rate calculated from the rate and the calculated bias - you have to call getAngle to update the rate 29 30 double P[2][2]; // Error covariance matrix - This is a 2x2 matrix 31 double K[2]; // Kalman gain - This is a 2x1 vector 32 double y; // Angle difference 33 double S; // Estimate error 34 }; 35 36 void Init(struct Kalman* klm){ 37 /* We will set the variables like so, these can also be tuned by the user */ 38 klm->Q_angle = 0.001; 39 klm->Q_bias = 0.003; 40 klm->R_measure = 0.03; 41 42 klm->angle = 0; // Reset the angle 43 klm->bias = 0; // Reset bias 44 45 klm->P[0][0] = 0; // Since we assume that the bias is 0 and we know the starting angle (use setAngle), the error covariance matrix is set like so - see: http://en->wikipedia->org/wiki/Kalman_filter#Example_application->2C_technical 46 klm->P[0][1] = 0; 47 klm->P[1][0] = 0; 48 klm->P[1][1] = 0; 49 } 50 51 // The angle should be in degrees and the rate should be in degrees per second and the delta time in seconds 52 double getAngle(struct Kalman * klm, double newAngle, double newRate, double dt) { 53 // KasBot V2 - Kalman filter module - http://www->x-firm->com/?page_id=145 54 // Modified by Kristian Lauszus 55 // See my blog post for more information: http://blog->tkjelectronics->dk/2012/09/a-practical-approach-to-kalman-filter-and-how-to-implement-it 56 57 // Discrete Kalman filter time update equations - Time Update ("Predict") 58 // Update xhat - Project the state ahead 59 /* Step 1 */ 60 klm->rate = newRate - klm->bias; 61 klm->angle += dt * klm->rate; 62 63 // Update estimation error covariance - Project the error covariance ahead 64 /* Step 2 */ 65 klm->P[0][0] += dt * (dt*klm->P[1][1] - klm->P[0][1] - klm->P[1][0] + klm->Q_angle); 66 klm->P[0][1] -= dt * klm->P[1][1]; 67 klm->P[1][0] -= dt * klm->P[1][1]; 68 klm->P[1][1] += klm->Q_bias * dt; 69 70 // Discrete Kalman filter measurement update equations - Measurement Update ("Correct") 71 // Calculate Kalman gain - Compute the Kalman gain 72 /* Step 4 */ 73 klm->S = klm->P[0][0] + klm->R_measure; 74 /* Step 5 */ 75 klm->K[0] = klm->P[0][0] / klm->S; 76 klm->K[1] = klm->P[1][0] / klm->S; 77 78 // Calculate angle and bias - Update estimate with measurement zk (newAngle) 79 /* Step 3 */ 80 klm->y = newAngle - klm->angle; 81 /* Step 6 */ 82 klm->angle += klm->K[0] * klm->y; 83 klm->bias += klm->K[1] * klm->y; 84 85 // Calculate estimation error covariance - Update the error covariance 86 /* Step 7 */ 87 klm->P[0][0] -= klm->K[0] * klm->P[0][0]; 88 klm->P[0][1] -= klm->K[0] * klm->P[0][1]; 89 klm->P[1][0] -= klm->K[1] * klm->P[0][0]; 90 klm->P[1][1] -= klm->K[1] * klm->P[0][1]; 91 92 return klm->angle; 93 } 94 95 void setAngle(struct Kalman* klm, double newAngle) { klm->angle = newAngle; } // Used to set angle, this should be set as the starting angle 96 double getRate(struct Kalman* klm) { return klm->rate; } // Return the unbiased rate 97 98 /* These are used to tune the Kalman filter */ 99 void setQangle(struct Kalman* klm, double newQ_angle) { klm->Q_angle = newQ_angle; }100 void setQbias(struct Kalman* klm, double newQ_bias) { klm->Q_bias = newQ_bias; }101 void setRmeasure(struct Kalman* klm, double newR_measure) { klm->R_measure = newR_measure; }102 103 double getQangle(struct Kalman* klm) { return klm->Q_angle; }104 double getQbias(struct Kalman* klm) { return klm->Q_bias; }105 double getRmeasure(struct Kalman* klm) { return klm->R_measure; }106 107 #endif
2、I2C总线代码[这里把MPU和HMC挂接到上面,通过改变SlaveAddress的值来和不同的设备通信]
1 #include "stm32f10x.h" 2 3 /*标志是否读出数据*/ 4 char test=0; 5 /*I2C从设备*/ 6 unsigned char SlaveAddress; 7 /*模拟IIC端口输出输入定义*/ 8 #define SCL_H GPIOB->BSRR = GPIO_Pin_10 9 #define SCL_L GPIOB->BRR = GPIO_Pin_10 10 #define SDA_H GPIOB->BSRR = GPIO_Pin_11 11 #define SDA_L GPIOB->BRR = GPIO_Pin_11 12 #define SCL_read GPIOB->IDR & GPIO_Pin_10 13 #define SDA_read GPIOB->IDR & GPIO_Pin_11 14 15 /*I2C的端口初始化---------------------------------------*/ 16 void I2C_GPIO_Config(void) 17 { 18 GPIO_InitTypeDef GPIO_InitStructure; 19 20 GPIO_InitStructure.GPIO_Pin = GPIO_Pin_10; 21 GPIO_InitStructure.GPIO_Speed = GPIO_Speed_50MHz; 22 GPIO_InitStructure.GPIO_Mode = GPIO_Mode_Out_OD; 23 GPIO_Init(GPIOB, &GPIO_InitStructure); 24 25 GPIO_InitStructure.GPIO_Pin = GPIO_Pin_11; 26 GPIO_InitStructure.GPIO_Speed = GPIO_Speed_50MHz; 27 GPIO_InitStructure.GPIO_Mode = GPIO_Mode_Out_OD; 28 GPIO_Init(GPIOB, &GPIO_InitStructure); 29 } 30 31 /*I2C的延时函数-----------------------------------------*/ 32 void I2C_delay(void) 33 { 34 u8 i=30; //这里可以优化速度 ,经测试最低到5还能写入 35 while(i) 36 { 37 i--; 38 } 39 } 40 41 /*I2C的等待5ms函数--------------------------------------*/ 42 void delay5ms(void) 43 { 44 int i=5000; 45 while(i) 46 { 47 i--; 48 } 49 } 50 51 /*I2C启动函数-------------------------------------------*/ 52 bool I2C_Start(void) 53 { 54 SDA_H; 55 SCL_H; 56 I2C_delay(); 57 if(!SDA_read)return FALSE; //SDA线为低电平则总线忙,退出 58 SDA_L; 59 I2C_delay(); 60 if(SDA_read) return FALSE; //SDA线为高电平则总线出错,退出 61 SDA_L; 62 I2C_delay(); 63 return TRUE; 64 } 65 66 /*I2C停止函数-------------------------------------------*/ 67 void I2C_Stop(void) 68 { 69 SCL_L; 70 I2C_delay(); 71 SDA_L; 72 I2C_delay(); 73 SCL_H; 74 I2C_delay(); 75 SDA_H; 76 I2C_delay(); 77 } 78 79 /*I2C的ACK函数------------------------------------------*/ 80 void I2C_Ack(void) 81 { 82 SCL_L; 83 I2C_delay(); 84 SDA_L; 85 I2C_delay(); 86 SCL_H; 87 I2C_delay(); 88 SCL_L; 89 I2C_delay(); 90 } 91 92 /*I2C的NoACK函数----------------------------------------*/ 93 void I2C_NoAck(void) 94 { 95 SCL_L; 96 I2C_delay(); 97 SDA_H; 98 I2C_delay(); 99 SCL_H;100 I2C_delay();101 SCL_L;102 I2C_delay();103 } 104 105 /*I2C等待ACK函数----------------------------------------*/106 bool I2C_WaitAck(void) //返回为:=1有ACK,=0无ACK107 {108 SCL_L;109 I2C_delay();110 SDA_H; 111 I2C_delay();112 SCL_H;113 I2C_delay();114 if(SDA_read)115 {116 SCL_L;117 I2C_delay();118 return FALSE;119 }120 SCL_L;121 I2C_delay();122 return TRUE;123 }124 125 /*I2C发送一个u8数据函数---------------------------------*/126 void I2C_SendByte(u8 SendByte) //数据从高位到低位//127 {128 u8 i=8;129 while(i--)130 {131 SCL_L;132 I2C_delay();133 if(SendByte&0x80)134 SDA_H; 135 else 136 SDA_L; 137 SendByte<<=1;138 I2C_delay();139 SCL_H;140 I2C_delay();141 }142 SCL_L;143 } 144 145 /*I2C读取一个u8数据函数---------------------------------*/146 unsigned char I2C_RadeByte(void) //数据从高位到低位//147 { 148 u8 i=8;149 u8 ReceiveByte=0;150 151 SDA_H; 152 while(i--)153 {154 ReceiveByte<<=1; 155 SCL_L;156 I2C_delay();157 SCL_H;158 I2C_delay(); 159 if(SDA_read)160 {161 ReceiveByte|=0x01;162 }163 }164 SCL_L;165 return ReceiveByte;166 } 167 168 /*I2C向指定设备指定地址写入u8数据-----------------------*/169 void Single_WriteI2C(unsigned char REG_Address,unsigned char REG_data)//单字节写入170 {171 if(!I2C_Start())return;172 I2C_SendByte(SlaveAddress); //发送设备地址+写信号//I2C_SendByte(((REG_Address & 0x0700) >>7) | SlaveAddress & 0xFFFE);//设置高起始地址+器件地址 173 if(!I2C_WaitAck()){I2C_Stop(); return;}174 I2C_SendByte(REG_Address ); //设置低起始地址 175 I2C_WaitAck(); 176 I2C_SendByte(REG_data);177 I2C_WaitAck(); 178 I2C_Stop(); 179 delay5ms();180 }181 182 /*I2C向指定设备指定地址读出u8数据-----------------------*/183 unsigned char Single_ReadI2C(unsigned char REG_Address)//读取单字节184 { 185 unsigned char REG_data; 186 if(!I2C_Start())return FALSE;187 I2C_SendByte(SlaveAddress); //I2C_SendByte(((REG_Address & 0x0700) >>7) | REG_Address & 0xFFFE);//设置高起始地址+器件地址 188 if(!I2C_WaitAck()){I2C_Stop();test=1; return FALSE;}189 I2C_SendByte((u8) REG_Address); //设置低起始地址 190 I2C_WaitAck();191 I2C_Start();192 I2C_SendByte(SlaveAddress+1);193 I2C_WaitAck();194 195 REG_data=http://www.mamicode.com/ I2C_RadeByte();196 I2C_NoAck();197 I2C_Stop();198 //return TRUE;199 return REG_data;200 }
3、MPU6050的驱动代码[updataMPU6050中获取数据为什么一正一负不是很清楚,是按照GitHub上arduino版本改的]
1 #define SlaveAddressMPU 0x68 //定义器件5883在IIC总线中的从地址 2 3 typedef unsigned char uchar; 4 5 extern int accX, accY, accZ; 6 extern int gyroX, gyroY, gyroZ; 7 extern uchar SlaveAddress; //IIC写入时的地址字节数据,+1为读取 8 extern uchar Single_ReadI2C(uchar REG_Address); //读取I2C数据 9 extern void Single_WriteI2C(uchar REG_Address,uchar REG_data); //向I2C写入数据10 11 //****************************************12 // 定义MPU6050内部地址13 //****************************************14 #define SMPLRT_DIV 0x19 //陀螺仪采样率,典型值:0x07(125Hz)15 #define CONFIG 0x1A //低通滤波频率,典型值:0x06(5Hz)16 #define GYRO_CONFIG 0x1B //陀螺仪自检及测量范围,典型值:0x18(不自检,2000deg/s)17 #define ACCEL_CONFIG 0x1C //加速计自检、测量范围及高通滤波频率,典型值:0x01(不自检,2G,5Hz)18 #define ACCEL_XOUT_H 0x3B19 #define ACCEL_XOUT_L 0x3C20 #define ACCEL_YOUT_H 0x3D21 #define ACCEL_YOUT_L 0x3E22 #define ACCEL_ZOUT_H 0x3F23 #define ACCEL_ZOUT_L 0x4024 #define TEMP_OUT_H 0x4125 #define TEMP_OUT_L 0x4226 #define GYRO_XOUT_H 0x4327 #define GYRO_XOUT_L 0x44 28 #define GYRO_YOUT_H 0x4529 #define GYRO_YOUT_L 0x4630 #define GYRO_ZOUT_H 0x4731 #define GYRO_ZOUT_L 0x4832 #define PWR_MGMT_1 0x6B //电源管理,典型值:0x00(正常启用)33 #define WHO_AM_I 0x75 //IIC地址寄存器(默认数值0x68,只读)34 #define MPU6050_Addr 0xD0 //IIC写入时的地址字节数据,+1为读取35 //**************************************36 //初始化MPU605037 //**************************************38 void InitMPU6050()39 {40 SlaveAddress=MPU6050_Addr;41 Single_WriteI2C(PWR_MGMT_1, 0x00); //解除休眠状态42 Single_WriteI2C(SMPLRT_DIV, 0x07);// Set the sample rate to 1000Hz - 8kHz/(7+1) = 1000Hz43 Single_WriteI2C(CONFIG, 0x00);// Disable FSYNC and set 260 Hz Acc filtering, 256 Hz Gyro filtering, 8 KHz sampling44 Single_WriteI2C(GYRO_CONFIG, 0x00);// Set Gyro Full Scale Range to ±250deg/s45 Single_WriteI2C(ACCEL_CONFIG, 0x00);// Set Accelerometer Full Scale Range to ±2g46 Single_WriteI2C(PWR_MGMT_1, 0x01);// PLL with X axis gyroscope reference and disable sleep mode47 }48 //**************************************49 //// Get accelerometer and gyroscope values50 //**************************************51 void updateMPU6050()52 {53 SlaveAddress=MPU6050_Addr;// Get accelerometer and gyroscope values54 55 accX=((Single_ReadI2C(ACCEL_XOUT_H)<<8)+Single_ReadI2C(ACCEL_XOUT_L));56 accY=-((Single_ReadI2C(ACCEL_YOUT_H)<<8)+Single_ReadI2C(ACCEL_YOUT_L));57 accZ=((Single_ReadI2C(ACCEL_ZOUT_H)<<8)+Single_ReadI2C(ACCEL_ZOUT_L));58 59 gyroX=-((Single_ReadI2C(GYRO_XOUT_H)<<8)+Single_ReadI2C(GYRO_XOUT_L));60 gyroY=((Single_ReadI2C(GYRO_YOUT_H)<<8)+Single_ReadI2C(GYRO_YOUT_L));61 gyroZ=-((Single_ReadI2C(GYRO_ZOUT_H)<<8)+Single_ReadI2C(GYRO_ZOUT_L)); 62 }
4、HMC5883的驱动代码[updataHMC5883直接获取源数据,并未做大的处理]
1 #define uchar unsigned char 2 #define uint unsigned int 3 4 //定义器件在IIC总线中的从地址,根据ALT ADDRESS地址引脚不同修改 5 #define HMC5883_Addr 0x3C //磁场传感器器件地址 6 7 unsigned char BUF[8]; //接收数据缓存区 8 extern uchar SlaveAddress; //IIC写入时的地址字节数据,+1为读取 9 10 extern int magX, magY, magZ; //hmc最原始数据11 extern uchar SlaveAddress; //IIC写入时的地址字节数据,+1为读取12 extern uchar Single_ReadI2C(uchar REG_Address); //读取I2C数据13 extern void Single_WriteI2C(uchar REG_Address,uchar REG_data); //向I2C写入数据14 //**************************************15 //初始化HMC5883,根据需要请参考pdf进行修改16 //**************************************17 void InitHMC5883()18 {19 SlaveAddress=HMC5883_Addr;20 Single_WriteI2C(0x02,0x00); //21 Single_WriteI2C(0x01,0xE0); //22 }23 //**************************************24 //从HMC5883连续读取6个数据放在BUF中25 //**************************************26 void updateHMC5883()27 {28 SlaveAddress=HMC5883_Addr;29 Single_WriteI2C(0x00,0x14); 30 Single_WriteI2C(0x02,0x00); 31 // Delayms(10);32 33 BUF[1]=Single_ReadI2C(0x03);//OUT_X_L_A34 BUF[2]=Single_ReadI2C(0x04);//OUT_X_H_A35 BUF[3]=Single_ReadI2C(0x07);//OUT_Y_L_A36 BUF[4]=Single_ReadI2C(0x08);//OUT_Y_H_A37 BUF[5]=Single_ReadI2C(0x05);//OUT_Z_L_A38 BUF[6]=Single_ReadI2C(0x06);//OUT_Y_H_A39 40 magX=(BUF[1] << 8) | BUF[2]; //Combine MSB and LSB of X Data output register41 magY=(BUF[3] << 8) | BUF[4]; //Combine MSB and LSB of Y Data output register42 magZ=(BUF[5] << 8) | BUF[6]; //Combine MSB and LSB of Z Data output register43 44 // if(magX>0x7fff)magX-=0xffff;//补码表示滴~所以要转化一下 45 // if(magY>0x7fff)magY-=0xffff; 46 // if(magZ>0x7fff)magZ-=0xffff;47 }
5、USART简单的单字节发送的串口驱动文件
1 #include "stm32f10x.h" 2 3 void USART1_Configuration(void); 4 void USART1_SendData(u8 SendData); 5 extern void Delayms(vu32 m); 6 7 void USART1_Configuration() 8 { 9 GPIO_InitTypeDef GPIO_InitStructure;10 USART_InitTypeDef USART_InitStructure;11 USART_ClockInitTypeDef USART_ClockInitStructure;12 13 RCC_APB2PeriphClockCmd( RCC_APB2Periph_GPIOA | RCC_APB2Periph_GPIOB ,ENABLE );//| RCC_APB2Periph_GPIOC | RCC_APB2Periph_GPIOD, ENABLE );14 RCC_APB2PeriphClockCmd(RCC_APB2Periph_TIM1 |RCC_APB2Periph_USART1, ENABLE );15 16 /* Configure USART1 Tx (PA.09) as alternate function push-pull */17 GPIO_InitStructure.GPIO_Pin = GPIO_Pin_9; // 选中管脚918 GPIO_InitStructure.GPIO_Mode = GPIO_Mode_AF_PP; // 复用推挽输出19 GPIO_InitStructure.GPIO_Speed = GPIO_Speed_50MHz; // 最高输出速率50MHz20 GPIO_Init(GPIOA, &GPIO_InitStructure); // 选择A端口21 22 /* Configure USART1 Rx (PA.10) as input floating */23 GPIO_InitStructure.GPIO_Pin = GPIO_Pin_10; //选中管脚1024 GPIO_InitStructure.GPIO_Mode = GPIO_Mode_IN_FLOATING; //浮空输入25 GPIO_Init(GPIOA, &GPIO_InitStructure); //选择A端口26 27 28 USART_ClockInitStructure.USART_Clock = USART_Clock_Disable; // 时钟低电平活动29 USART_ClockInitStructure.USART_CPOL = USART_CPOL_Low; // 时钟低电平30 USART_ClockInitStructure.USART_CPHA = USART_CPHA_2Edge; // 时钟第二个边沿进行数据捕获31 USART_ClockInitStructure.USART_LastBit = USART_LastBit_Disable; // 最后一位数据的时钟脉冲不从SCLK输出32 /* Configure the USART1 synchronous paramters */33 USART_ClockInit(USART1, &USART_ClockInitStructure); // 时钟参数初始化设置34 35 USART_InitStructure.USART_BaudRate = 9600; // 波特率为:11520036 USART_InitStructure.USART_WordLength = USART_WordLength_8b; // 8位数据37 USART_InitStructure.USART_StopBits = USART_StopBits_1; // 在帧结尾传输1个停止位38 USART_InitStructure.USART_Parity = USART_Parity_No ; // 奇偶失能39 USART_InitStructure.USART_HardwareFlowControl = USART_HardwareFlowControl_None; // 硬件流控制失能40 41 USART_InitStructure.USART_Mode = USART_Mode_Rx | USART_Mode_Tx; // 发送使能+接收使能42 /* Configure USART1 basic and asynchronous paramters */43 USART_Init(USART1, &USART_InitStructure);44 45 /* Enable USART1 */46 USART_ClearFlag(USART1, USART_IT_RXNE); //清中断,以免一启用中断后立即产生中断47 USART_ITConfig(USART1,USART_IT_RXNE, ENABLE); //使能USART1中断源48 USART_Cmd(USART1, ENABLE); //USART1总开关:开启 49 }50 void USART1_SendData(u8 SendData)51 {52 USART_SendData(USART1, SendData);53 while(USART_GetFlagStatus(USART1, USART_FLAG_TC)==RESET);54 }
6、非精确延时函数集[其他文件所需的一些延时放在这里]
1 #include "stm32f10x.h" 2 3 4 void Delay(vu32 nCount) 5 { 6 for(; nCount != 0; nCount--); 7 } 8 void Delayms(vu32 m) 9 {10 u32 i; 11 for(; m != 0; m--) 12 for (i=0; i<50000; i++);13 }
7、main函数文件
1 #include "stm32f10x.h" 2 #include "Kalman.h" 3 #include <math.h> 4 #define RESTRICT_PITCH // Comment out to restrict roll to ±90deg instead - please read: http://www.freescale.com/files/sensors/doc/app_note/AN3461.pdf 5 6 struct Kalman kalmanX, kalmanY, kalmanZ; // Create the Kalman instances 7 8 /* IMU Data MPU6050 AND HMC5883 Data*/ 9 int accX, accY, accZ; 10 int gyroX, gyroY, gyroZ; 11 int magX, magY, magZ; 12 13 14 double roll, pitch, yaw; // Roll and pitch are calculated using the accelerometer while yaw is calculated using the magnetometer 15 16 double gyroXangle, gyroYangle, gyroZangle; // Angle calculate using the gyro only 只用陀螺仪计算角度 17 double compAngleX, compAngleY, compAngleZ; // Calculated angle using a complementary filter 用电磁计计算角度 18 double kalAngleX, kalAngleY, kalAngleZ; // Calculated angle using a Kalman filter 用kalman计算角度 19 20 //uint32_t timer,micros; //上一次时间与当前时间 21 uint8_t i2cData[14]; // Buffer for I2C data 22 23 #define MAG0MAX 603 24 #define MAG0MIN -578 25 26 #define MAG1MAX 542 27 #define MAG1MIN -701 28 29 #define MAG2MAX 547 30 #define MAG2MIN -556 31 32 #define RAD_TO_DEG 57.295779513082320876798154814105 // 弧度转角度的转换率 33 #define DEG_TO_RAD 0.01745329251994329576923690768489 // 角度转弧度的转换率 34 35 float magOffset[3] = { (MAG0MAX + MAG0MIN) / 2, (MAG1MAX + MAG1MIN) / 2, (MAG2MAX + MAG2MIN) / 2 }; 36 double magGain[3]; 37 38 void SYSTICK_Configuration(void); //系统滴答中断配置 39 void RCC_Configuration(void); 40 void updatePitchRoll(void); //根据加速计刷新Pitch和Roll数据 41 void updateYaw(void); //根据磁力计刷新Yaw角 42 void InitAll(void); //循环前的初始化 43 void func(void); //循环里的内容 44 extern void InitMPU6050(void); //初始化MPU6050 45 extern void InitHMC5883(void); //初始化HMC5883 46 extern void updateMPU6050(void); //Get accelerometer and gyroscope values 47 extern void updateHMC5883(void); //Get magnetometer values 48 extern void USART1_Configuration(void); //串口初始化 49 extern void USART1_SendData(u8 SendData); //串口发送函数 50 extern void I2C_GPIO_Config(void); //I2C初始化函数 51 /**************************************************************************** 52 * 名 称:int main(void) 53 * 功 能:主函数 54 * 入口参数:无 55 * 出口参数:无 56 * 说 明: 57 * 调用方法:无 58 ****************************************************************************/ 59 int main(void) 60 { 61 RCC_Configuration(); //系统时钟配置 62 USART1_Configuration(); 63 I2C_GPIO_Config(); 64 InitHMC5883(); 65 InitMPU6050(); 66 InitAll(); 67 // SYSTICK_Configuration(); 68 while(1) 69 { 70 func(); 71 } 72 } 73 ///* 74 //系统滴答中断配置 75 //*/ 76 //void SYSTICK_Configuration(void) 77 //{ 78 // micros=0;//全局计数时间归零 79 // if (SysTick_Config(72000)) //时钟节拍中断时1000ms一次 用于定时 80 // { 81 // /* Capture error */ 82 //// while (1); 83 // } 84 //} 85 ///* 86 //当前时间++.为了防止溢出当其大于2^20时,令其归零 87 //*/ 88 //void SysTickHandler(void) 89 //{ 90 // micros++; 91 // if(micros>(1<<20)) 92 // micros=0; 93 //} 94 /**************************************************************************** 95 * 名 称:void RCC_Configuration(void) 96 * 功 能:系统时钟配置为72MHZ 97 * 入口参数:无 98 * 出口参数:无 99 * 说 明:100 * 调用方法:无 101 ****************************************************************************/ 102 void RCC_Configuration(void)103 { 104 SystemInit();105 }106 107 void InitAll()108 {109 /* Set Kalman and gyro starting angle */110 updateMPU6050();111 updateHMC5883();112 updatePitchRoll();113 updateYaw();114 115 setAngle(&kalmanX,roll); // First set roll starting angle116 gyroXangle = roll;117 compAngleX = roll;118 119 setAngle(&kalmanY,pitch); // Then pitch120 gyroYangle = pitch;121 compAngleY = pitch;122 123 setAngle(&kalmanZ,yaw); // And finally yaw124 gyroZangle = yaw;125 compAngleZ = yaw;126 127 // timer = micros; // Initialize the timer 128 }129 130 void send(double xx,double yy,double zz)131 {132 int a[3];133 u8 i,sendData[12]; 134 a[0]=(int)xx;a[1]=(int)yy;a[2]=(int)zz;135 for(i=0;i<3;i++)136 {137 if(a[i]<0){138 sendData[i*4]=‘-‘;139 a[i]=-a[i];140 }141 else sendData[i*4]=‘ ‘;142 sendData[i*4+1]=(u8)(a[i]%1000/100+0x30);143 sendData[i*4+2]=(u8)(a[i]%100/10+0x30);144 sendData[i*4+3]=(u8)(a[i]%10+0x30);145 }146 for(i=0;i<12;i++)147 {148 USART1_SendData(sendData[i]);149 }150 USART1_SendData(0x0D);151 USART1_SendData(0x0A);152 }153 154 void func()155 {156 double gyroXrate,gyroYrate,gyroZrate,dt=0.01;157 /* Update all the IMU values */158 updateMPU6050();159 updateHMC5883();160 161 // dt = (double)(micros - timer) / 1000; // Calculate delta time162 // timer = micros;163 // if(dt<0)dt+=(1<<20); //时间是周期性的,有可能当前时间小于上次时间,因为这个周期远大于两次积分时间,所以最多相差1<<20164 165 /* Roll and pitch estimation */166 updatePitchRoll(); //用采集的加速计的值计算roll和pitch的值167 gyroXrate = gyroX / 131.0; // Convert to deg/s 把陀螺仪的角加速度按照当初设定的量程转换为°/s168 gyroYrate = gyroY / 131.0; // Convert to deg/s169 170 #ifdef RESTRICT_PITCH //如果上面有#define RESTRICT_PITCH就采用这种方法计算,防止出现-180和180之间的跳跃171 // This fixes the transition problem when the accelerometer angle jumps between -180 and 180 degrees172 if ((roll < -90 && kalAngleX > 90) || (roll > 90 && kalAngleX < -90)) {173 setAngle(&kalmanX,roll);174 compAngleX = roll;175 kalAngleX = roll;176 gyroXangle = roll;177 } else178 kalAngleX = getAngle(&kalmanX, roll, gyroXrate, dt); // Calculate the angle using a Kalman filter179 180 if (fabs(kalAngleX) > 90)181 gyroYrate = -gyroYrate; // Invert rate, so it fits the restricted accelerometer reading182 kalAngleY = getAngle(&kalmanY,pitch, gyroYrate, dt);183 #else184 // This fixes the transition problem when the accelerometer angle jumps between -180 and 180 degrees185 if ((pitch < -90 && kalAngleY > 90) || (pitch > 90 && kalAngleY < -90)) {186 kalmanY.setAngle(pitch);187 compAngleY = pitch;188 kalAngleY = pitch;189 gyroYangle = pitch;190 } else191 kalAngleY = getAngle(&kalmanY, pitch, gyroYrate, dt); // Calculate the angle using a Kalman filter192 193 if (abs(kalAngleY) > 90)194 gyroXrate = -gyroXrate; // Invert rate, so it fits the restricted accelerometer reading195 kalAngleX = getAngle(&kalmanX, roll, gyroXrate, dt); // Calculate the angle using a Kalman filter196 #endif197 198 199 /* Yaw estimation */200 updateYaw();201 gyroZrate = gyroZ / 131.0; // Convert to deg/s202 // This fixes the transition problem when the yaw angle jumps between -180 and 180 degrees203 if ((yaw < -90 && kalAngleZ > 90) || (yaw > 90 && kalAngleZ < -90)) {204 setAngle(&kalmanZ,yaw);205 compAngleZ = yaw;206 kalAngleZ = yaw;207 gyroZangle = yaw;208 } else209 kalAngleZ = getAngle(&kalmanZ, yaw, gyroZrate, dt); // Calculate the angle using a Kalman filter210 211 212 /* Estimate angles using gyro only */213 gyroXangle += gyroXrate * dt; // Calculate gyro angle without any filter214 gyroYangle += gyroYrate * dt;215 gyroZangle += gyroZrate * dt;216 //gyroXangle += kalmanX.getRate() * dt; // Calculate gyro angle using the unbiased rate from the Kalman filter217 //gyroYangle += kalmanY.getRate() * dt;218 //gyroZangle += kalmanZ.getRate() * dt;219 220 /* Estimate angles using complimentary filter */221 compAngleX = 0.93 * (compAngleX + gyroXrate * dt) + 0.07 * roll; // Calculate the angle using a Complimentary filter222 compAngleY = 0.93 * (compAngleY + gyroYrate * dt) + 0.07 * pitch;223 compAngleZ = 0.93 * (compAngleZ + gyroZrate * dt) + 0.07 * yaw;224 225 // Reset the gyro angles when they has drifted too much226 if (gyroXangle < -180 || gyroXangle > 180)227 gyroXangle = kalAngleX;228 if (gyroYangle < -180 || gyroYangle > 180)229 gyroYangle = kalAngleY;230 if (gyroZangle < -180 || gyroZangle > 180)231 gyroZangle = kalAngleZ;232 233 234 send(roll,pitch,yaw);235 // send(gyroXangle,gyroYangle,gyroZangle);236 // send(compAngleX,compAngleY,compAngleZ);237 // send(kalAngleX,kalAngleY,kalAngleZ);238 // send(kalAngleY,compAngleY,gyroYangle);239 240 241 /* Print Data */242 // //#if 1243 // printf("%lf %lf %lf %lf\n",roll,gyroXangle,compAngleX,kalAngleX);244 // printf("%lf %lf %lf %lf\n",pitch,gyroYangle,compAngleY,kalAngleY);245 // printf("%lf %lf %lf %lf\n",yaw,gyroZangle,compAngleZ,kalAngleZ);246 //#endif247 248 // //#if 0 // Set to 1 to print the IMU data249 // printf("%lf %lf %lf\n",accX / 16384.0,accY / 16384.0,accZ / 16384.0);250 // printf("%lf %lf %lf\n",gyroXrate,gyroYrate,gyroZrate);251 // printf("%lf %lf %lf\n",magX,magY,magZ);252 //#endif253 254 //#if 0 // Set to 1 to print the temperature255 //Serial.print("\t");256 //257 //double temperature = (double)tempRaw / 340.0 + 36.53;258 //Serial.print(temperature); Serial.print("\t");259 //#endif260 // delay(10);261 } 262 263 //****************************************264 //根据加速计刷新Pitch和Roll数据265 //这里采用两种方法计算roll和pitch,如果最上面没有#define RESTRICT_PITCH就采用第二种计算方法266 //****************************************267 void updatePitchRoll() {268 // Source: http://www.freescale.com/files/sensors/doc/app_note/AN3461.pdf eq. 25 and eq. 26269 // atan2 outputs the value of -π to π (radians) - see http://en.wikipedia.org/wiki/Atan2270 // It is then converted from radians to degrees271 #ifdef RESTRICT_PITCH // Eq. 25 and 26272 roll = atan2(accY,accZ) * RAD_TO_DEG;273 pitch = atan(-accX / sqrt(accY * accY + accZ * accZ)) * RAD_TO_DEG;274 #else // Eq. 28 and 29275 roll = atan(accY / sqrt(accX * accX + accZ * accZ)) * RAD_TO_DEG;276 pitch = atan2(-accX, accZ) * RAD_TO_DEG;277 #endif278 }279 //****************************************280 //根据磁力计刷新Yaw角281 //****************************************282 void updateYaw() { // See: http://www.freescale.com/files/sensors/doc/app_note/AN4248.pdf283 double rollAngle,pitchAngle,Bfy,Bfx; 284 285 magX *= -1; // Invert axis - this it done here, as it should be done after the calibration286 magZ *= -1;287 288 magX *= magGain[0];289 magY *= magGain[1];290 magZ *= magGain[2];291 292 magX -= magOffset[0];293 magY -= magOffset[1];294 magZ -= magOffset[2];295 296 297 rollAngle = kalAngleX * DEG_TO_RAD;298 pitchAngle = kalAngleY * DEG_TO_RAD;299 300 Bfy = magZ * sin(rollAngle) - magY * cos(rollAngle);301 Bfx = magX * cos(pitchAngle) + magY * sin(pitchAngle) * sin(rollAngle) + magZ * sin(pitchAngle) * cos(rollAngle);302 yaw = atan2(-Bfy, Bfx) * RAD_TO_DEG;303 304 yaw *= -1;305 }
程序说明:
1 int main(void) 2 { 3 RCC_Configuration(); //系统时钟配置 4 USART1_Configuration(); 5 I2C_GPIO_Config(); 6 InitHMC5883(); 7 InitMPU6050(); 8 InitAll(); 9 // SYSTICK_Configuration(); 10 while(1)11 {12 func();13 }14 }
- 主函数首先初始化系统时钟、串口、I2C总线、HMC5883磁力计和MPU6050加速计&陀螺仪,这里重点讲InitAll()函数和func()函数
1 void InitAll() 2 { 3 /* Set Kalman and gyro starting angle */ 4 updateMPU6050(); 5 updateHMC5883(); 6 updatePitchRoll(); 7 updateYaw(); 8 9 setAngle(&kalmanX,roll); // First set roll starting angle10 gyroXangle = roll;11 compAngleX = roll;12 13 setAngle(&kalmanY,pitch); // Then pitch14 gyroYangle = pitch;15 compAngleY = pitch;16 17 setAngle(&kalmanZ,yaw); // And finally yaw18 gyroZangle = yaw;19 compAngleZ = yaw;20 21 // timer = micros; // Initialize the timer 22 }
- 第4、5两行从传感器中读取原数据,第6行函数根据加速计的值由空间几何的知识刷新Pitch和Roll数据,第7行函数根据复杂计算(这个实在看不懂,大概是磁力计有偏差,一方面进行误差校正,另一方面还用到了kalman滤波的数据,挺麻烦的)其实就是刷新yaw的值。
- 后面把kalman滤波值、陀螺仪计量值、磁力计计算值都赋值为上面计算的roll、pitch、yaw的值。
1 void func() 2 { 3 double gyroXrate,gyroYrate,gyroZrate,dt=0.01; 4 /* Update all the IMU values */ 5 updateMPU6050(); 6 updateHMC5883(); 7 8 // dt = (double)(micros - timer) / 1000; // Calculate delta time 9 // timer = micros;10 // if(dt<0)dt+=(1<<20); //时间是周期性的,有可能当前时间小于上次时间,因为这个周期远大于两次积分时间,所以最多相差1<<2011 12 /* Roll and pitch estimation */13 updatePitchRoll(); //用采集的加速计的值计算roll和pitch的值14 gyroXrate = gyroX / 131.0; // Convert to deg/s 把陀螺仪的角加速度按照当初设定的量程转换为°/s15 gyroYrate = gyroY / 131.0; // Convert to deg/s16 17 #ifdef RESTRICT_PITCH //如果上面有#define RESTRICT_PITCH就采用这种方法计算,防止出现-180和180之间的跳跃18 // This fixes the transition problem when the accelerometer angle jumps between -180 and 180 degrees19 if ((roll < -90 && kalAngleX > 90) || (roll > 90 && kalAngleX < -90)) {20 setAngle(&kalmanX,roll);21 compAngleX = roll;22 kalAngleX = roll;23 gyroXangle = roll;24 } else25 kalAngleX = getAngle(&kalmanX, roll, gyroXrate, dt); // Calculate the angle using a Kalman filter26 27 if (fabs(kalAngleX) > 90)28 gyroYrate = -gyroYrate; // Invert rate, so it fits the restricted accelerometer reading29 kalAngleY = getAngle(&kalmanY,pitch, gyroYrate, dt);30 #else31 // This fixes the transition problem when the accelerometer angle jumps between -180 and 180 degrees32 if ((pitch < -90 && kalAngleY > 90) || (pitch > 90 && kalAngleY < -90)) {33 kalmanY.setAngle(pitch);34 compAngleY = pitch;35 kalAngleY = pitch;36 gyroYangle = pitch;37 } else38 kalAngleY = getAngle(&kalmanY, pitch, gyroYrate, dt); // Calculate the angle using a Kalman filter39 40 if (abs(kalAngleY) > 90)41 gyroXrate = -gyroXrate; // Invert rate, so it fits the restricted accelerometer reading42 kalAngleX = getAngle(&kalmanX, roll, gyroXrate, dt); // Calculate the angle using a Kalman filter43 #endif44 45 46 /* Yaw estimation */47 updateYaw();48 gyroZrate = gyroZ / 131.0; // Convert to deg/s49 // This fixes the transition problem when the yaw angle jumps between -180 and 180 degrees50 if ((yaw < -90 && kalAngleZ > 90) || (yaw > 90 && kalAngleZ < -90)) {51 setAngle(&kalmanZ,yaw);52 compAngleZ = yaw;53 kalAngleZ = yaw;54 gyroZangle = yaw;55 } else56 kalAngleZ = getAngle(&kalmanZ, yaw, gyroZrate, dt); // Calculate the angle using a Kalman filter57 58 59 /* Estimate angles using gyro only */60 gyroXangle += gyroXrate * dt; // Calculate gyro angle without any filter61 gyroYangle += gyroYrate * dt;62 gyroZangle += gyroZrate * dt;63 //gyroXangle += kalmanX.getRate() * dt; // Calculate gyro angle using the unbiased rate from the Kalman filter64 //gyroYangle += kalmanY.getRate() * dt;65 //gyroZangle += kalmanZ.getRate() * dt;66 67 /* Estimate angles using complimentary filter */互补滤波算法68 compAngleX = 0.93 * (compAngleX + gyroXrate * dt) + 0.07 * roll; // Calculate the angle using a Complimentary filter69 compAngleY = 0.93 * (compAngleY + gyroYrate * dt) + 0.07 * pitch;70 compAngleZ = 0.93 * (compAngleZ + gyroZrate * dt) + 0.07 * yaw;71 72 // Reset the gyro angles when they has drifted too much73 if (gyroXangle < -180 || gyroXangle > 180)74 gyroXangle = kalAngleX;75 if (gyroYangle < -180 || gyroYangle > 180)76 gyroYangle = kalAngleY;77 if (gyroZangle < -180 || gyroZangle > 180)78 gyroZangle = kalAngleZ;79 80 81 send(roll,pitch,yaw);82 // send(gyroXangle,gyroYangle,gyroZangle);83 // send(compAngleX,compAngleY,compAngleZ);84 // send(kalAngleX,kalAngleY,kalAngleZ);85 // send(kalAngleY,compAngleY,gyroYangle);86 }
- 5、6两行获取传感器原数据
- 8~10行计算两次测量的时间差dt[因为我采用很多方法试验来计算时间差都不奏效,所以最终还是放弃了这种算法,还是用我原来的DMP算法,DMP对水平方向的很好,z方向的不好,要用磁力计来纠正!可以参考这里面的算法!]
- 13~56行是用kalman滤波来求当前的3个角并稳值
- 60~62行是用陀螺仪的角速度积分获得当前陀螺仪测量的3个角度值
- 67~70行使用互补滤波算法对磁力计当前测量3个角的值进行计算
- 72~78行是稳值
- 81行是串口发送
PS:总的来说按照arduino的代码进行照抄移植成c语言版的,当前卡在了如何较为准确的计算dt,即:两次测量的时间差(这里为了测试我给了dt一个定值0.01s,这是很不准确的做法!!!)[我采用定时器的方法总是会莫名的跑偏,我想可能是中断的影响,好吧,还是用原来实验的DMP吧,这个算法看似高大上,其实比较占MCU的资源啦,自带的DMP也存在一些缺陷,对水平方向的偏角测量较为精准,误差在1°左右,而在z轴方向上的误差较大,容易跑偏,所以还要用磁力计进行纠正Z轴的测量值~]
PS:相关链接
- GitHub上面的基于arduino的工程:https://github.com/TKJElectronics/Example-Sketch-for-IMU-including-Kalman-filter.git
- 3轴加速计网页pdf版使用详细资料(公式,计算):http://www.freescale.com/files/sensors/doc/app_note/AN3461.pdf
- 加速计和磁力计倾斜补偿算法网页pdf资料:http://www.freescale.com/files/sensors/doc/app_note/AN4248.pdf
- 上述工程代码(你得自己解决dt问题):http://pan.baidu.com/s/1gdlATFH
- MPU6050寄存器中文版:http://pan.baidu.com/s/1gdIKUK7
- MPU6050中文资料:http://pan.baidu.com/s/1bnkxjhP
- MPU6050数据轻松分析(基于arduino的kalman滤波讲解含代码):http://pan.baidu.com/s/1eQvMtX4
- pitch yaw roll 相关知识(1):http://blog.163.com/vipwdp@126/blog/static/150224366201281935518196/
- pitch yaw roll 相关知识(2):http://www.cnblogs.com/wqj1212/archive/2010/11/21/1883033.html
- pitch yaw roll 相关知识(3):http://www.cnblogs.com/tclikang/archive/2012/11/09/2761988.html
- 四元数与欧拉角知识:http://www.cnblogs.com/wqj1212/archive/2010/11/21/1883033.html
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