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Strange trend of Euler Angles with sensor fusion algorithm (LSM6DSV16X device)

marti3110
Associate II

I am using a STM32F401RE board with the X-NUCLEO-IKS4A1 expansion board. I configure SFLP on the board in order to get the quaternion values ​. 

The commans I used are:

"

fifo_sflp.game_rotation = 1;

fifo_sflp.gravity = 1;

fifo_sflp.gbias = 1;

lsm6dsv16x_fifo_sflp_batch_set(&dev_ctx, fifo_sflp);

lsm6dsv16x_fifo_mode_set(&dev_ctx, LSM6DSV16X_STREAM_MODE);

lsm6dsv16x_xl_data_rate_set(&dev_ctx, LSM6DSV16X_ODR_AT_30Hz); // ODR dell'accelerometro

lsm6dsv16x_gy_data_rate_set(&dev_ctx, LSM6DSV16X_ODR_AT_30Hz); // ODR del giroscopio

lsm6dsv16x_sflp_data_rate_set(&dev_ctx, LSM6DSV16X_SFLP_30Hz);

lsm6dsv16x_sflp_game_rotation_set(&dev_ctx, PROPERTY_ENABLE);

lsm6dsv16x_sflp_gbias_t gbias;

gbias.gbias_x = 0.0f;

gbias.gbias_y = 0.0f;

gbias.gbias_z = 0.0f;

lsm6dsv16x_sflp_game_gbias_set(&dev_ctx, &gbias);

while (1)

{

// Controlla lo stato del FIFO

lsm6dsv16x_fifo_status_get(&dev_ctx, &fifo_status);

 

if (fifo_status.fifo_th == 1) {

// Leggi i dati dal FIFO

uint16_t num_samples = fifo_status.fifo_level;

 

while (num_samples--) {

lsm6dsv16x_fifo_out_raw_t raw_data;

lsm6dsv16x_fifo_out_raw_get(&dev_ctx, &raw_data);

 

int16_t *axis;

float gravity_mg[3];

float gbias_mdps[3];

 

// Se i dati sono del Game Rotation Vector

if (raw_data.tag == LSM6DSV16X_SFLP_GAME_ROTATION_VECTOR_TAG) {

// Converti i dati grezzi in quaternioni

sflp2q(quaternion, (uint16_t*)&raw_data.data[0]);

 

// Invia i dati via UART

snprintf((char*)tx_buffer, sizeof(tx_buffer), "Game Rotation \tX: %2.3f\tY: %2.3f\tZ: %2.3f\tW: %2.3f\r\n", quaternion[0], quaternion[1], quaternion[2], quaternion[3]);

tx_com(tx_buffer, strlen((char const*)tx_buffer));

}

else if (raw_data.tag == LSM6DSV16X_SFLP_GYROSCOPE_BIAS_TAG)

{

axis = (int16_t *)&raw_data.data[0];

gbias_mdps[0] = lsm6dsv16x_from_fs125_to_mdps(axis[0]);

gbias_mdps[1] = lsm6dsv16x_from_fs125_to_mdps(axis[1]);

gbias_mdps[2] = lsm6dsv16x_from_fs125_to_mdps(axis[2]);

snprintf((char *)tx_buffer, sizeof(tx_buffer), "GBIAS [mdps]:%4.2f\t%4.2f\t%4.2f\r\n",

(double_t)gbias_mdps[0], (double_t)gbias_mdps[1], (double_t)gbias_mdps[2]);

tx_com(tx_buffer, strlen((char const *)tx_buffer));

}

else if (raw_data.tag == LSM6DSV16X_SFLP_GRAVITY_VECTOR_TAG)

{

axis = (int16_t *)&raw_data.data[0];

gravity_mg[0] = lsm6dsv16x_from_sflp_to_mg(axis[0]);

gravity_mg[1] = lsm6dsv16x_from_sflp_to_mg(axis[1]);

gravity_mg[2] = lsm6dsv16x_from_sflp_to_mg(axis[2]);

snprintf((char *)tx_buffer, sizeof(tx_buffer), "Gravity [mg]:%4.2f\t%4.2f\t%4.2f\r\n",

(double_t)gravity_mg[0], (double_t)gravity_mg[1], (double_t)gravity_mg[2]);

tx_com(tx_buffer, strlen((char const *)tx_buffer));

}

}

}

MX_MEMS_Process();

}"

The commands I used to get Euler angles from quaternions in Matlab are the following:

"q=quaternion(W_values,X_values,Y_values,Z_values);
angles=eulerd(q,'ZYX','frame');

roll_eulerd=angles(:,3);
pitch_eulerd=angles(:,2);
yaw_eulerd=angles(:,1);

yaw_eulerd = yaw_eulerd - yaw_eulerd(1);"

In the first acquisition I performed a roll:+90, pitch:+90, yaw:+90 rotation and in the second acquisition I performed a roll:-90, pitch:-90, yaw:-90 rotation and I get the attached graphs.  roll_pitch_yaw_90.jpeg

 

roll_pitch_yaw_-90.jpeg

The pitch angle corresponds to the rotations made but the Roll angle varies even when it varies pitch angle and the Yaw angle instead always has a strange trend. I tried changing the ODR from 30Hz to 120Hz and also tested the HAODR but the results don't change much.

ODR: 120 HzODR: 120 HzODR: 120 HzODR: 120 HzHAODRHAODRHAODRHAODR

I also encountered this problem when implementing the Motion FX 6x and Motion FX 9x libraries and getting quaternions as output.

 Since for my project I need to obtain very precise angles that do not vary when there is rotation around a single axis, what can I do?

1 REPLY 1
Federica Bossi
ST Employee

Hi @marti3110 ,

This is not a problem with the algorithm (neither SFLP nor MotionFX 6X / 9X), but with the representation of the output using Euler angles, which by nature suffer from the well-known ‘gimbal lock’ issue.

If you try SFLP with MEMS Studio which visualizes the outputs via a 3D model (rotated using the quaternion generated by the sensor), you will see that the algorithm works more than well and without jumps.

In order to give better visibility on the answered topics, please click on 'Accept as Solution' on the reply which solved your issue or answered your question.