Question

谁能给我讲解一下卡尔曼滤波，我最近在用mpu6050，把陀螺仪和加速度的值通过卡尔曼滤波融合。求C程序!

Answer 1

给你arduino的卡尔曼滤波融合算法，非原创，我只是封装了算法。
另外你这么难的问题应该给点分才厚道啊！

H文件：
/*
* KalmanFilter.h
* Non-original
* Author: x2d
* Copyright (c) 2012 China
*
*/

#ifndef KalmanFilter_h
#define KalmanFilter_h

#include <WProgram.h>

class KalmanFilter
{
public:
KalmanFilter();

/*
卡尔曼融合计算
angle_m: 加速度计测量并通过atan2(ax,ay)方法计算得到的角度（弧度值）
gyro_m:陀螺仪测量的角速度值（弧度值）
dt:采样时间(s)
outAngle:卡尔曼融合计算出的角度（弧度值）
outAngleDot:卡尔曼融合计算出的角速度（弧度值）
*/
void getValue(double angle_m, double gyro_m, double dt, double &outAngle, double &outAngleDot);

private:
double C_0, Q_angle, Q_gyro, R_angle;
double q_bias, angle_err, PCt_0, PCt_1, E, K_0, K_1, t_0, t_1;
double angle, angle_dot;
double P[2][2];
double Pdot[4];
};

CPP文件：
/*
* KalmanFilter.cpp
* Non-original
* Author: x2d
* Copyright (c) 2012 China
*
*/

#include "KalmanFilter.h"

KalmanFilter::KalmanFilter()
{
C_0 = 1.0f;
Q_angle = 0.001f;
Q_gyro = 0.003f;
R_angle = 0.5f;
q_bias = angle_err = PCt_0 = PCt_1 = E = K_0 = K_1 = t_0 = t_1 = 0.0f;
angle = angle_dot = 0.0f;
P[0][0] = 1.0f;
P[0][1] = 0.0f;
P[1][0] = 0.0f;
P[1][1] = 1.0f;
Pdot[0] = 0.0f;
Pdot[1] = 0.0f;
Pdot[2] = 0.0f;
Pdot[3] = 0.0f;
}

void KalmanFilter::getValue(double angle_m, double gyro_m, double dt, double &outAngle, double &outAngleDot)
{
/*
Serial.print("angle_m = ");
Serial.print(angle_m);
Serial.print(";");
Serial.print("gyro_m = ");
Serial.print(gyro_m);
Serial.print(";");
*/

angle+=(gyro_m-q_bias) * dt;
angle_err = angle_m - angle;
Pdot[0] = Q_angle - P[0][1] - P[1][0];
Pdot[1] = -P[1][1];
Pdot[2] = -P[1][1];
Pdot[3] = Q_gyro;
P[0][0] += Pdot[0] * dt;
P[0][1] += Pdot[1] * dt;
P[1][0] += Pdot[2] * dt;
P[1][1] += Pdot[3] * dt;
PCt_0 = C_0 * P[0][0];
PCt_1 = C_0 * P[1][0];
E = R_angle + C_0 * PCt_0;
K_0 = PCt_0 / E;
K_1 = PCt_1 / E;
t_0 = PCt_0;
t_1 = C_0 * P[0][1];
P[0][0] -= K_0 * t_0;
P[0][1] -= K_0 * t_1;
P[1][0] -= K_1 * t_0;
P[1][1] -= K_1 * t_1;
angle += K_0 * angle_err;
q_bias += K_1 * angle_err;
angle_dot = gyro_m-q_bias;

outAngle = angle;
outAngleDot = angle_dot;
/*
Serial.print("angle = ");
Serial.print(angle);
Serial.print(";");
Serial.print("angle_dot = ");
Serial.print(angle_dot);
Serial.print(";");
*/
}
#endif