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本帖最后由 jssd 于 2021-1-21 09:29 编辑
硬件为mpu9250,算法为mahonyUpdate,9轴数据融合后,姿态挺稳,但有一个问题,
当偏航角转到0时再陆续变小的话,偏航角会瞬间变为-300度,然后再继续变小,直到-360度时再瞬变为+330度(差不多这个角度,但没到360)。
反之,当角度增加到-300度时也会瞬变为0度。也就是说,imu转一圈会出现两次偏航角瞬变,其他角度正常。
请问是什么原因?
代码和图片明天贴上来。先行谢过!
- //=============================================================================================
- // MahonyAHRS.c
- //=============================================================================================
- //
- // Madgwick's implementation of Mayhony's AHRS algorithm.
- // See: http://www.x-io.co.uk/open-source-imu-and-ahrs-algorithms/
- //
- // From the x-io website "Open-source resources available on this website are
- // provided under the GNU General Public Licence unless an alternative licence
- // is provided in source."
- //
- // Date Author Notes
- // 29/09/2011 SOH Madgwick Initial release
- // 02/10/2011 SOH Madgwick Optimised for reduced CPU load
- //
- // Algorithm paper:
- // http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=4608934&url=http%3A%2F%2Fieeexplore.ieee.org%2Fstamp%2Fstamp.jsp%3Ftp%3D%26arnumber%3D4608934
- //
- //=============================================================================================
- //-------------------------------------------------------------------------------------------
- // Header files
- #include "MahonyAHRS.h"
- #include <math.h>
- //-------------------------------------------------------------------------------------------
- // Definitions
- float twoKi; // 2 * integral gain (Ki)
- float q0, q1, q2, q3; // quaternion of sensor frame relative to auxiliary frame
- float integralFBx, integralFBy, integralFBz; // integral error terms scaled by Ki
- float invSampleFreq;
- float roll, pitch, yaw;
- char anglesComputed;
- //#define twoKpDef (5.0f * 0.5f) // 2 * proportional gain
- //#define twoKiDef (0.5f * 1.0f) // 2 * integral gain
- #define twoKpDef (10.0f * 0.5f) // 2 * proportional gain
- #define twoKiDef (0.5f * 1.0f) // 2 * integral gain
- void Mahony_Init(float sampleFrequency)
- {
- twoKi = twoKiDef; // 2 * integral gain (Ki)
- q0 = 1.0f;
- q1 = 0.0f;
- q2 = 0.0f;
- q3 = 0.0f;
- integralFBx = 0.0f;
- integralFBy = 0.0f;
- integralFBz = 0.0f;
- anglesComputed = 0;
- invSampleFreq = 1.0f / sampleFrequency;
- }
- float Mahony_invSqrt(float x)
- {
- float halfx = 0.5f * x;
- float y = x;
- long i = *(long*)&y;
- i = 0x5f3759df - (i>>1);
- y = *(float*)&i;
- y = y * (1.5f - (halfx * y * y));
- y = y * (1.5f - (halfx * y * y));
- return y;
- }
- void Mahony_update(float gx, float gy, float gz, float ax, float ay, float az, float mx, float my, float mz)
- {
- float recipNorm;
- float q0q0, q0q1, q0q2, q0q3, q1q1, q1q2, q1q3, q2q2, q2q3, q3q3;
- float hx, hy, bx, bz;
- float halfvx, halfvy, halfvz, halfwx, halfwy, halfwz;
- float halfex, halfey, halfez;
- float qa, qb, qc;
- // Compute feedback only if accelerometer measurement valid
- // (avoids NaN in accelerometer normalisation)
- if(!((ax == 0.0f) && (ay == 0.0f) && (az == 0.0f))) {
- // Normalise accelerometer measurement
- recipNorm = Mahony_invSqrt(ax * ax + ay * ay + az * az);
- ax *= recipNorm;
- ay *= recipNorm;
- az *= recipNorm;
- // Normalise magnetometer measurement
- recipNorm = Mahony_invSqrt(mx * mx + my * my + mz * mz);
- mx *= recipNorm;
- my *= recipNorm;
- mz *= recipNorm;
- // Auxiliary variables to avoid repeated arithmetic
- q0q0 = q0 * q0;
- q0q1 = q0 * q1;
- q0q2 = q0 * q2;
- q0q3 = q0 * q3;
- q1q1 = q1 * q1;
- q1q2 = q1 * q2;
- q1q3 = q1 * q3;
- q2q2 = q2 * q2;
- q2q3 = q2 * q3;
- q3q3 = q3 * q3;
- // Reference direction of Earth's magnetic field
- hx = 2.0f * (mx * (0.5f - q2q2 - q3q3) + my * (q1q2 - q0q3) + mz * (q1q3 + q0q2));
- hy = 2.0f * (mx * (q1q2 + q0q3) + my * (0.5f - q1q1 - q3q3) + mz * (q2q3 - q0q1));
- bx = sqrtf(hx * hx + hy * hy);
- bz = 2.0f * (mx * (q1q3 - q0q2) + my * (q2q3 + q0q1) + mz * (0.5f - q1q1 - q2q2));
- // Estimated direction of gravity and magnetic field
- halfvx = q1q3 - q0q2;
- halfvy = q0q1 + q2q3;
- halfvz = q0q0 - 0.5f + q3q3;
- halfwx = bx * (0.5f - q2q2 - q3q3) + bz * (q1q3 - q0q2);
- halfwy = bx * (q1q2 - q0q3) + bz * (q0q1 + q2q3);
- halfwz = bx * (q0q2 + q1q3) + bz * (0.5f - q1q1 - q2q2);
- // Error is sum of cross product between estimated direction
- // and measured direction of field vectors
- halfex = (ay * halfvz - az * halfvy) + (my * halfwz - mz * halfwy);
- halfey = (az * halfvx - ax * halfvz) + (mz * halfwx - mx * halfwz);
- halfez = (ax * halfvy - ay * halfvx) + (mx * halfwy - my * halfwx);
- // Compute and apply integral feedback if enabled
- if(twoKi > 0.0f) {
- // integral error scaled by Ki
- integralFBx += twoKi * halfex * invSampleFreq;
- integralFBy += twoKi * halfey * invSampleFreq;
- integralFBz += twoKi * halfez * invSampleFreq;
- gx += integralFBx; // apply integral feedback
- gy += integralFBy;
- gz += integralFBz;
- } else {
- integralFBx = 0.0f; // prevent integral windup
- integralFBy = 0.0f;
- integralFBz = 0.0f;
- }
- // Apply proportional feedback
- gx += twoKpDef * halfex;
- gy += twoKpDef * halfey;
- gz += twoKpDef * halfez;
- }
- // Integrate rate of change of quaternion
- gx *= (0.5f * invSampleFreq); // pre-multiply common factors
- gy *= (0.5f * invSampleFreq);
- gz *= (0.5f * invSampleFreq);
- qa = q0;
- qb = q1;
- qc = q2;
- q0 += (-qb * gx - qc * gy - q3 * gz);
- q1 += (qa * gx + qc * gz - q3 * gy);
- q2 += (qa * gy - qb * gz + q3 * gx);
- q3 += (qa * gz + qb * gy - qc * gx);
- // Normalise quaternion
- recipNorm = Mahony_invSqrt(q0 * q0 + q1 * q1 + q2 * q2 + q3 * q3);
- q0 *= recipNorm;
- q1 *= recipNorm;
- q2 *= recipNorm;
- q3 *= recipNorm;
- anglesComputed = 0;
- }
- void Mahony_computeAngles()
- {
- roll = atan2f(q0*q1 + q2*q3, 0.5f - q1*q1 - q2*q2);
- pitch = asinf(-2.0f * (q1*q3 - q0*q2));
- yaw = atan2f(q1*q2 + q0*q3, 0.5f - q2*q2 - q3*q3);
- anglesComputed = 1;
- }
- float getRoll() {
- if (!anglesComputed) Mahony_computeAngles();
- return roll * 57.29578f;
- }
- float getPitch() {
- if (!anglesComputed) Mahony_computeAngles();
- return pitch * 57.29578f;
- }
- float getYaw() {
- if (!anglesComputed) Mahony_computeAngles();
- return yaw * 57.29578f + 180.0f;
- }
- static float acc_x,acc_y,acc_z;
- static float groy_x,groy_y,groy_z;
- static float mag_x,mag_y,mag_z;
- void Mahony_send_ANO(uint8_t fun,uint8_t* p,int len)
- {
- uint8_t buf[256];
- int L=0;
- uint8_t ver = 0;
-
- buf[L] = 0xAA; ver += buf[L++];
- buf[L] = 0x05; ver += buf[L++];
- buf[L] = 0xAF; ver += buf[L++];
- buf[L] = fun; ver += buf[L++];
- buf[L] = len; ver += buf[L++];
- for(int i=0;i<len;i++){
- buf[L] = p[i]; ver += buf[L++];
- }
- buf[L++] = ver;
- ESB_SendBuff(buf,L);
- }
- void Mahony_send_ANO_STATUS(void)
- {
- uint8_t buf[256];
- uint8_t L=0;
-
- int16_t roll = (int16_t)(getRoll()*100);
- int16_t pitch = (int16_t)(getPitch()*100);
- int16_t yaw = (int16_t)(getYaw()*100);
-
-
- buf[L++] = (uint8_t)(roll>>8);
- buf[L++] = (uint8_t)(roll>>0);
- buf[L++] = (uint8_t)(pitch>>8);
- buf[L++] = (uint8_t)(pitch>>0);
- buf[L++] = (uint8_t)(yaw>>8);
- buf[L++] = (uint8_t)(yaw>>0);
- buf[L++] = 0;
- buf[L++] = 0;
- buf[L++] = 0;
- buf[L++] = 0;
- buf[L++] = 0;
- buf[L++] = 0;
- buf[L++] = 0;
- Mahony_send_ANO(0x01,buf,L);
- }
- void Mahony_send_ANO_SENSER(int16_t gx, int16_t gy, int16_t gz, int16_t ax, int16_t ay, int16_t az, int16_t mx, int16_t my, int16_t mz)
- {
- uint8_t buf[256];
- uint8_t L=0;
-
- buf[L++] = (uint8_t)(ax>>8);
- buf[L++] = (uint8_t)(ax>>0);
- buf[L++] = (uint8_t)(ay>>8);
- buf[L++] = (uint8_t)(ay>>0);
- buf[L++] = (uint8_t)(az>>8);
- buf[L++] = (uint8_t)(az>>0);
-
- buf[L++] = (uint8_t)(gx>>8);
- buf[L++] = (uint8_t)(gx>>0);
- buf[L++] = (uint8_t)(gy>>8);
- buf[L++] = (uint8_t)(gy>>0);
- buf[L++] = (uint8_t)(gz>>8);
- buf[L++] = (uint8_t)(gz>>0);
-
- buf[L++] = (uint8_t)(mx>>8);
- buf[L++] = (uint8_t)(mx>>0);
- buf[L++] = (uint8_t)(my>>8);
- buf[L++] = (uint8_t)(my>>0);
- buf[L++] = (uint8_t)(mz>>8);
- buf[L++] = (uint8_t)(mz>>0);
- Mahony_send_ANO(0x02,buf,L);
- }
- void Mahony_process(int16_t gx, int16_t gy, int16_t gz, int16_t ax, int16_t ay, int16_t az, int16_t mx, int16_t my, int16_t mz)
- {
- // Convert gyroscope degrees/sec to radians/sec
- gx = gx+9; gy = gy+13; gz = gz+66;
- // ax = ax+40; ay = ay-20; az = az+20;
- mx = mx-200; my = my+150; mz = mz+150;
-
- groy_x = gx*3.1415926/16.4f/180.0f;
- groy_y = gy*3.1415926/16.4f/180.0f;
- groy_z = gz*3.1415926/16.4f/180.0f;
- // groy_x = gx*0.030517f*0.0174533f;
- // groy_y = gy*0.030517f*0.0174533f;
- // groy_z = gz*0.030517f*0.0174533f;
-
- acc_x = ax/2048.0f;
- acc_y = ay/2048.0f;
- acc_z = az/2048.0f;
- mag_x = my/1.0f;
- mag_y = mx/1.0f;
- mag_z = -mz/1.0f;
-
- // mag_x = 0;
- // mag_y = 0;
- // mag_z = 0;
-
- Mahony_update(groy_x,groy_y,groy_z,acc_x,acc_y,acc_z,mag_x,mag_y,mag_z);
-
- Mahony_send_ANO_STATUS();
- Mahony_send_ANO_SENSER(gx,gy,gz,ax,ay,az,mx,my,mz);
- }
- //============================================================================================
- // END OF CODE
- //============================================================================================
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