IMU Kalman Filter
Dependencies: mbed
Fork of frdm_serial_K64F by
IMU.cpp@8:7a22b8294c5d, 2014-12-08 (annotated)
- Committer:
- Pawel_13
- Date:
- Mon Dec 08 13:21:33 2014 +0000
- Revision:
- 8:7a22b8294c5d
Quadrocopter - Freescale k64F IMU and serial to NI LabView
Who changed what in which revision?
User | Revision | Line number | New contents of line |
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Pawel_13 | 8:7a22b8294c5d | 1 | /** |
Pawel_13 | 8:7a22b8294c5d | 2 | * @author Eric Van den Bulck |
Pawel_13 | 8:7a22b8294c5d | 3 | * |
Pawel_13 | 8:7a22b8294c5d | 4 | * @section LICENSE |
Pawel_13 | 8:7a22b8294c5d | 5 | * |
Pawel_13 | 8:7a22b8294c5d | 6 | * Copyright (c) 2010 ARM Limited |
Pawel_13 | 8:7a22b8294c5d | 7 | * |
Pawel_13 | 8:7a22b8294c5d | 8 | * @section DESCRIPTION |
Pawel_13 | 8:7a22b8294c5d | 9 | * |
Pawel_13 | 8:7a22b8294c5d | 10 | * Pololu MinIMU-9 v2 sensor: |
Pawel_13 | 8:7a22b8294c5d | 11 | * L3GD20 three-axis digital output gyroscope. |
Pawel_13 | 8:7a22b8294c5d | 12 | * LSM303 three-axis digital accelerometer and magnetometer |
Pawel_13 | 8:7a22b8294c5d | 13 | * |
Pawel_13 | 8:7a22b8294c5d | 14 | * Information to build this library: |
Pawel_13 | 8:7a22b8294c5d | 15 | * 1. The Arduino libraries for this sensor from the Pololu and Adafruit websites, available at gitbub. |
Pawel_13 | 8:7a22b8294c5d | 16 | * https://github.com/adafruit/Adafruit_L3GD20 |
Pawel_13 | 8:7a22b8294c5d | 17 | * https://github.com/pololu/L3G/tree/master/L3G |
Pawel_13 | 8:7a22b8294c5d | 18 | * 2. The Rasberry Pi code at https://github.com/idavidstory/goPiCopter/tree/master/io/sensors |
Pawel_13 | 8:7a22b8294c5d | 19 | * https://github.com/idavidstory/goPiCopter/tree/master/io/sensors |
Pawel_13 | 8:7a22b8294c5d | 20 | * 3. Information on how to write libraries: http://mbed.org/cookbook/Writing-a-Library |
Pawel_13 | 8:7a22b8294c5d | 21 | * 4. Information on I2C control: http://mbed.org/users/mbed_official/code/mbed/ |
Pawel_13 | 8:7a22b8294c5d | 22 | * 5. The Youtube videos from Brian Douglas (3 x 15') at http://www.youtube.com/playlist?list=PLUMWjy5jgHK30fkGrufluENJqZmLZkmqI |
Pawel_13 | 8:7a22b8294c5d | 23 | * http://www.x-io.co.uk/open-source-imu-and-ahrs-algorithms/ |
Pawel_13 | 8:7a22b8294c5d | 24 | * Reading an IMU Without Kalman: The Complementary Filter: http://www.pieter-jan.com/node/11 |
Pawel_13 | 8:7a22b8294c5d | 25 | * setup info on the minIMU-9 v2 on http://forum.pololu.com/viewtopic.php?f=3&t=4801&start=30 |
Pawel_13 | 8:7a22b8294c5d | 26 | */ |
Pawel_13 | 8:7a22b8294c5d | 27 | |
Pawel_13 | 8:7a22b8294c5d | 28 | #include "mbed.h" |
Pawel_13 | 8:7a22b8294c5d | 29 | #include "IMU.h" |
Pawel_13 | 8:7a22b8294c5d | 30 | |
Pawel_13 | 8:7a22b8294c5d | 31 | IMU::IMU(PinName sda, PinName scl) : _i2c(sda, scl) { |
Pawel_13 | 8:7a22b8294c5d | 32 | _i2c.frequency(400000); /* 400kHz, fast mode. */ |
Pawel_13 | 8:7a22b8294c5d | 33 | } |
Pawel_13 | 8:7a22b8294c5d | 34 | |
Pawel_13 | 8:7a22b8294c5d | 35 | char IMU::init(void) /* returns error upon a non-zero return */ |
Pawel_13 | 8:7a22b8294c5d | 36 | { |
Pawel_13 | 8:7a22b8294c5d | 37 | char ack, rx, tx[2]; |
Pawel_13 | 8:7a22b8294c5d | 38 | double pi, a, A; |
Pawel_13 | 8:7a22b8294c5d | 39 | |
Pawel_13 | 8:7a22b8294c5d | 40 | // 1. Initialize selected registers: 2c.read and i2c.write return 0 on success (ack) |
Pawel_13 | 8:7a22b8294c5d | 41 | // -------------------------------- |
Pawel_13 | 8:7a22b8294c5d | 42 | // |
Pawel_13 | 8:7a22b8294c5d | 43 | // 1.a Enable L3DG20 gyrosensor and set operational mode: |
Pawel_13 | 8:7a22b8294c5d | 44 | // CTRL_REG1: set to 0x1F = 0001-1111 --> enable sensor, DR= 95Hz, LPF-Cut-off-freq=25Hz. |
Pawel_13 | 8:7a22b8294c5d | 45 | // CTRL_REG1: set to 0x5F = 0101-1111 --> enable sensor, DR=190Hz, LPF-Cut-off-freq=25Hz. |
Pawel_13 | 8:7a22b8294c5d | 46 | // CTRL_REG4: left at default = 0x00 --> Full Scale = 250 degrees/second --> Sensitivity = 0.00875 dps/digit. |
Pawel_13 | 8:7a22b8294c5d | 47 | address = L3GD20_ADDR; |
Pawel_13 | 8:7a22b8294c5d | 48 | tx[0] = L3GD20_CTRL_REG1; // address contrl_register 1 |
Pawel_13 | 8:7a22b8294c5d | 49 | tx[1] = 0x1F; // 00-01-1-111 enable sensor and set operational mode. |
Pawel_13 | 8:7a22b8294c5d | 50 | ack = _i2c.write(address, tx, 2); |
Pawel_13 | 8:7a22b8294c5d | 51 | ack |= _i2c.write(address, tx, 1); |
Pawel_13 | 8:7a22b8294c5d | 52 | ack |= _i2c.read(address+1, &rx, 1); if (rx != 0x1F) ack |= 1; |
Pawel_13 | 8:7a22b8294c5d | 53 | // |
Pawel_13 | 8:7a22b8294c5d | 54 | // 1.b Enable LSM303 accelerometer and set operational mode: |
Pawel_13 | 8:7a22b8294c5d | 55 | // CTRL_REG1: set to 0x37 = 0011 1111 --> DR = 25Hz & enable sensor in low power mode (normal mode zmienic ostatnie 4 na 0111) |
Pawel_13 | 8:7a22b8294c5d | 56 | // CTRL_REG1: set to 0x47 = 0100 1111 --> DR = 50Hz & enable sensor -// |
Pawel_13 | 8:7a22b8294c5d | 57 | // CTRL_REG1: set to 0x57 = 0101 1111 --> DR = 100Hz & enable sensor |
Pawel_13 | 8:7a22b8294c5d | 58 | // CTRL_REG1: set to 0x67 = 0110 1111 --> DR = 200Hz & enable sensor |
Pawel_13 | 8:7a22b8294c5d | 59 | // CTRL_REG1: set to 0x77 = 0111 0111 --> DR = 400Hz & enable sensor (0x7F low power mode - b duze oscylacje) |
Pawel_13 | 8:7a22b8294c5d | 60 | // CTRL_REG4: set to 0x08 = 0000 1000 --> Full Scale = +/- 2G & high resolution --> Sensitivity = 0.001G/digit. |
Pawel_13 | 8:7a22b8294c5d | 61 | address = LSM303_A_ADDR; |
Pawel_13 | 8:7a22b8294c5d | 62 | tx[0] = LSM303_A_CTRL_REG1; |
Pawel_13 | 8:7a22b8294c5d | 63 | tx[1] = 0x77; // --> 400 Hz Data rate speed - p.24/42 of datasheet |
Pawel_13 | 8:7a22b8294c5d | 64 | ack |= _i2c.write(address, tx, 2); |
Pawel_13 | 8:7a22b8294c5d | 65 | ack |= _i2c.write(address, tx, 1); |
Pawel_13 | 8:7a22b8294c5d | 66 | ack |= _i2c.read(address+1, &rx, 1); if (rx != 0x77) ack |= 1; |
Pawel_13 | 8:7a22b8294c5d | 67 | tx[0] = LSM303_A_CTRL_REG4; |
Pawel_13 | 8:7a22b8294c5d | 68 | //tx[1] = 0x08; // 0000 1000 enable high resolution mode + selects default 2G scale. p.26/42 |
Pawel_13 | 8:7a22b8294c5d | 69 | tx[1] = 0x18; // 0001 1000 enable high resolution mode + selects 4G scale. |
Pawel_13 | 8:7a22b8294c5d | 70 | ack |= _i2c.write(address, tx ,2); |
Pawel_13 | 8:7a22b8294c5d | 71 | ack |= _i2c.write(address, tx, 1); |
Pawel_13 | 8:7a22b8294c5d | 72 | ack |= _i2c.read(address+1, &rx, 1); if (rx != 0x18) ack |= 1; |
Pawel_13 | 8:7a22b8294c5d | 73 | // |
Pawel_13 | 8:7a22b8294c5d | 74 | // 1.c enable LSM303 magnetometer and set operational mode: |
Pawel_13 | 8:7a22b8294c5d | 75 | // CRA_REG is reset from 0x10 to 0x14 = 00010100 --> 30 Hz data output rate. |
Pawel_13 | 8:7a22b8294c5d | 76 | // CRA_REG is reset from 0x10 to 0x18 = 00011000 --> 75 Hz data output rate. |
Pawel_13 | 8:7a22b8294c5d | 77 | // CRA_REG is reset from 0x10 to 0x1C = 00011100 --> 220 Hz data output rate. |
Pawel_13 | 8:7a22b8294c5d | 78 | // CRB_REG is kept at default = 00100000 = 0x20 --> range +/- 1.3 Gauss, Gain = 1100/980(Z) LSB/Gauss. |
Pawel_13 | 8:7a22b8294c5d | 79 | // MR_REG is reset from 0x03 to 0x00 -> continuos conversion mode in stead of sleep mode. |
Pawel_13 | 8:7a22b8294c5d | 80 | address = LSM303_M_ADDR; |
Pawel_13 | 8:7a22b8294c5d | 81 | tx[0] = LSM303_M_CRA_REG; |
Pawel_13 | 8:7a22b8294c5d | 82 | tx[1] = 0x18; // --> 75 Hz minimum output rate - p.36/42 of datasheet |
Pawel_13 | 8:7a22b8294c5d | 83 | ack |= _i2c.write(address, tx, 2); |
Pawel_13 | 8:7a22b8294c5d | 84 | ack |= _i2c.write(address, tx, 1); |
Pawel_13 | 8:7a22b8294c5d | 85 | ack |= _i2c.read(address+1, &rx, 1); if (rx != 0x18) ack |= 1; |
Pawel_13 | 8:7a22b8294c5d | 86 | tx[0] = LSM303_M_MR_REG; |
Pawel_13 | 8:7a22b8294c5d | 87 | tx[1] = 0x00; // 0000 0000 --> continuous-conversion mode 25 Hz Data rate speed - p.24/42 of datasheet |
Pawel_13 | 8:7a22b8294c5d | 88 | ack |= _i2c.write(address, tx, 2); |
Pawel_13 | 8:7a22b8294c5d | 89 | ack |= _i2c.write(address, tx, 1); |
Pawel_13 | 8:7a22b8294c5d | 90 | ack |= _i2c.read(address+1, &rx, 1); if (rx != 0x00) ack |= 1; |
Pawel_13 | 8:7a22b8294c5d | 91 | |
Pawel_13 | 8:7a22b8294c5d | 92 | // 2. Initialize calibration constants with predetermined values. |
Pawel_13 | 8:7a22b8294c5d | 93 | // acceleration: |
Pawel_13 | 8:7a22b8294c5d | 94 | // My calibration values, vs. the website http://rwsarduino.blogspot.be/2013/01/inertial-orientation-sensing.html |
Pawel_13 | 8:7a22b8294c5d | 95 | |
Pawel_13 | 8:7a22b8294c5d | 96 | /* my predetermined static bias counts */ |
Pawel_13 | 8:7a22b8294c5d | 97 | L3GD20_biasX = (int16_t) 97; // BTLO 90 /* digit counts */ |
Pawel_13 | 8:7a22b8294c5d | 98 | L3GD20_biasY = (int16_t) 5; //BYLO 180 |
Pawel_13 | 8:7a22b8294c5d | 99 | L3GD20_biasZ = (int16_t) 140; //BYLO -10 |
Pawel_13 | 8:7a22b8294c5d | 100 | |
Pawel_13 | 8:7a22b8294c5d | 101 | /* reference gravity acceleration */ |
Pawel_13 | 8:7a22b8294c5d | 102 | //g_0 = 9.815; //przy ustawieniu zakresu na +/- 2g |
Pawel_13 | 8:7a22b8294c5d | 103 | g_0 = 19.63; //przy ustawienu zakresu na +/- 4g // CTR_REG 4 = 0001 1000 0x18 |
Pawel_13 | 8:7a22b8294c5d | 104 | |
Pawel_13 | 8:7a22b8294c5d | 105 | /* filter parameters: assume 400 Hz sampling rare and 2nd orcer Butterworth filter with fc = 5Hz. */ |
Pawel_13 | 8:7a22b8294c5d | 106 | pi = 3.1415926536; |
Pawel_13 | 8:7a22b8294c5d | 107 | A = tan(pi*5/400); a = 1 + sqrt(2.0)*A + A*A; |
Pawel_13 | 8:7a22b8294c5d | 108 | FF[1] = 2*(A*A-1)/a; |
Pawel_13 | 8:7a22b8294c5d | 109 | FF[2] = (1-sqrt(2.0)*A+A*A)/a; |
Pawel_13 | 8:7a22b8294c5d | 110 | FF[0] = (1+FF[1]+FF[2])/4; |
Pawel_13 | 8:7a22b8294c5d | 111 | |
Pawel_13 | 8:7a22b8294c5d | 112 | return ack; |
Pawel_13 | 8:7a22b8294c5d | 113 | } |
Pawel_13 | 8:7a22b8294c5d | 114 | |
Pawel_13 | 8:7a22b8294c5d | 115 | char IMU::readData(float *d) |
Pawel_13 | 8:7a22b8294c5d | 116 | { |
Pawel_13 | 8:7a22b8294c5d | 117 | char ack, reg, D[6]; |
Pawel_13 | 8:7a22b8294c5d | 118 | int16_t W[3]; |
Pawel_13 | 8:7a22b8294c5d | 119 | |
Pawel_13 | 8:7a22b8294c5d | 120 | // report the data in rad/s |
Pawel_13 | 8:7a22b8294c5d | 121 | // gyro data are 16 bit readings per axis, stored: X_l, X_h, Y_l, Y_h, Z_l, Z_h |
Pawel_13 | 8:7a22b8294c5d | 122 | // #define L3GD20_SENSITIVITY_250DPS 0.00875 --- #define L3GD20_DPS_TO_RADS 0.017453293 |
Pawel_13 | 8:7a22b8294c5d | 123 | address = L3GD20_ADDR; |
Pawel_13 | 8:7a22b8294c5d | 124 | reg = L3GD20_OUT_X_L | 0x80; // set address auto-increment bit |
Pawel_13 | 8:7a22b8294c5d | 125 | ack = _i2c.write(address,®,1); ack |= _i2c.read(address+1,D,6); |
Pawel_13 | 8:7a22b8294c5d | 126 | W[0] = (int16_t) (D[1] << 8 | D[0]); |
Pawel_13 | 8:7a22b8294c5d | 127 | W[1] = (int16_t) (D[3] << 8 | D[2]); |
Pawel_13 | 8:7a22b8294c5d | 128 | W[2] = (int16_t) (D[5] << 8 | D[4]); |
Pawel_13 | 8:7a22b8294c5d | 129 | *(d+0) = (float) 0.971*(W[0]-L3GD20_biasX)*L3GD20_SENSITIVITY_250DPS*L3GD20_DPS_TO_RADS; |
Pawel_13 | 8:7a22b8294c5d | 130 | *(d+1) = (float) 0.998*(W[1]-L3GD20_biasY)*L3GD20_SENSITIVITY_250DPS*L3GD20_DPS_TO_RADS; |
Pawel_13 | 8:7a22b8294c5d | 131 | *(d+2) = (float) 1.002*(W[2]-L3GD20_biasZ)*L3GD20_SENSITIVITY_250DPS*L3GD20_DPS_TO_RADS; |
Pawel_13 | 8:7a22b8294c5d | 132 | |
Pawel_13 | 8:7a22b8294c5d | 133 | // Accelerometer data are stored as 12 bit readings, left justified per axis. |
Pawel_13 | 8:7a22b8294c5d | 134 | // The data needs to be shifted 4 digits to the right! This is not general, only for the A measurement. |
Pawel_13 | 8:7a22b8294c5d | 135 | address = LSM303_A_ADDR; |
Pawel_13 | 8:7a22b8294c5d | 136 | reg = LSM303_A_OUT_X_L | 0x80; // set address auto-increment bit |
Pawel_13 | 8:7a22b8294c5d | 137 | ack |= _i2c.write(address,®,1); ack |= _i2c.read(address+1,D,6); |
Pawel_13 | 8:7a22b8294c5d | 138 | W[0] = ((int16_t) (D[1] << 8 | D[0])) >> 4; |
Pawel_13 | 8:7a22b8294c5d | 139 | W[1] = ((int16_t) (D[3] << 8 | D[2])) >> 4; |
Pawel_13 | 8:7a22b8294c5d | 140 | W[2] = ((int16_t) (D[5] << 8 | D[4])) >> 4; |
Pawel_13 | 8:7a22b8294c5d | 141 | *(d+3) = (float) g_0*0.986*(W[0]+18)/1000; // kalibracja - zmiana z 0.991 na 0.986 i z +34 na +18 |
Pawel_13 | 8:7a22b8294c5d | 142 | *(d+4) = (float) g_0*0.99*(W[1]-4)/1000; // kalibracja - zmiana z 0.970 na 0.99 i z +2 na -4 |
Pawel_13 | 8:7a22b8294c5d | 143 | *(d+5) = (float) g_0*0.983*(W[2]+9)/1000; // kalibracja - zmiana +28 na +9 |
Pawel_13 | 8:7a22b8294c5d | 144 | // GN = 001 |
Pawel_13 | 8:7a22b8294c5d | 145 | // Magnetometer; are stored as 12 bit readings, right justified per axis. |
Pawel_13 | 8:7a22b8294c5d | 146 | address = LSM303_M_ADDR; |
Pawel_13 | 8:7a22b8294c5d | 147 | reg = LSM303_M_OUT_X_H | 0x80; // set address auto-increment bit |
Pawel_13 | 8:7a22b8294c5d | 148 | ack |= _i2c.write(address,®,1); ack |= _i2c.read(address+1,D,6); |
Pawel_13 | 8:7a22b8294c5d | 149 | W[0] = ((int16_t) (D[0] << 8 | D[1])); |
Pawel_13 | 8:7a22b8294c5d | 150 | W[1] = ((int16_t) (D[4] << 8 | D[5])); |
Pawel_13 | 8:7a22b8294c5d | 151 | W[2] = ((int16_t) (D[2] << 8 | D[3])); |
Pawel_13 | 8:7a22b8294c5d | 152 | *(d+6) = (float) 2.813*(W[0]-220)/1100; //Z bylo 264 |
Pawel_13 | 8:7a22b8294c5d | 153 | *(d+7) = (float) 2.822*(W[1]+ 230)/1100; //X bylo |
Pawel_13 | 8:7a22b8294c5d | 154 | *(d+8) = (float) 2.880*(W[2]- 380)/980; //Y |
Pawel_13 | 8:7a22b8294c5d | 155 | |
Pawel_13 | 8:7a22b8294c5d | 156 | return ack; |
Pawel_13 | 8:7a22b8294c5d | 157 | } |
Pawel_13 | 8:7a22b8294c5d | 158 | |
Pawel_13 | 8:7a22b8294c5d | 159 | void IMU::filterData(float *d, double *D) |
Pawel_13 | 8:7a22b8294c5d | 160 | // 2nd order Butterworth filter. Filter coefficients FF computed in function init. |
Pawel_13 | 8:7a22b8294c5d | 161 | { |
Pawel_13 | 8:7a22b8294c5d | 162 | for (int i=0; i<9; ++i) { |
Pawel_13 | 8:7a22b8294c5d | 163 | // *(FD+9*i+2) = *(FD+9*i+1); *(FD+9*i+1) = *(FD+9*i); *(FD+9*i) = (double) d[i]; |
Pawel_13 | 8:7a22b8294c5d | 164 | FD[2][i] = FD[1][i]; FD[1][i] = FD[0][i]; FD[0][i] = (double) d[i]; |
Pawel_13 | 8:7a22b8294c5d | 165 | FD[5][i] = FD[4][i]; FD[4][i] = FD[3][i]; |
Pawel_13 | 8:7a22b8294c5d | 166 | FD[3][i] = FF[0]*(FD[0][i] + 2*FD[1][i] + FD[2][i]) - FF[1]*FD[4][i] - FF[2]*FD[5][i]; |
Pawel_13 | 8:7a22b8294c5d | 167 | D[i] = FD[3][i]; |
Pawel_13 | 8:7a22b8294c5d | 168 | } |
Pawel_13 | 8:7a22b8294c5d | 169 | // D[0] = FD[0][2]; D[1] = FD[1][2]; D[2] = FD[2][2]; |
Pawel_13 | 8:7a22b8294c5d | 170 | } |