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EKF: Improve tilt alignment monitoring
Convert quaternion covariances into an angular alignment variance vector and discard the z component so that yaw uncertainty does not affect the result.
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@@ -654,3 +654,42 @@ Matrix3f EstimatorInterface::quat_to_invrotmat(const Quaternion quat)
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return dcm;
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}
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// calculate the variances for the rotation vector equivalent
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Vector3f Ekf::calcRotVecVariances()
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{
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Vector3f rot_var_vec;
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float q0,q1,q2,q3;
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if (_state.quat_nominal(0) >= 0.0f) {
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q0 = _state.quat_nominal(0);
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q1 = _state.quat_nominal(1);
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q2 = _state.quat_nominal(2);
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q3 = _state.quat_nominal(3);
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} else {
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q0 = -_state.quat_nominal(0);
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q1 = -_state.quat_nominal(1);
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q2 = -_state.quat_nominal(2);
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q3 = -_state.quat_nominal(3);
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}
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float t2 = q0*q0;
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float t3 = acos(q0);
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float t4 = -t2+1.0f;
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float t5 = t2-1.0f;
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float t6 = 1.0f/t5;
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float t7 = q1*t6*2.0f;
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float t8 = 1.0f/powf(t4,1.5f);
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float t9 = q0*q1*t3*t8*2.0f;
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float t10 = t7+t9;
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float t11 = 1.0f/sqrtf(t4);
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float t12 = q2*t6*2.0f;
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float t13 = q0*q2*t3*t8*2.0f;
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float t14 = t12+t13;
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float t15 = q3*t6*2.0f;
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float t16 = q0*q3*t3*t8*2.0f;
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float t17 = t15+t16;
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rot_var_vec(0) = t10*(P[0][0]*t10+P[1][0]*t3*t11*2.0f)+t3*t11*(P[0][1]*t10+P[1][1]*t3*t11*2.0f)*2.0f;
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rot_var_vec(1) = t14*(P[0][0]*t14+P[2][0]*t3*t11*2.0f)+t3*t11*(P[0][2]*t14+P[2][2]*t3*t11*2.0f)*2.0f;
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rot_var_vec(2) = t17*(P[0][0]*t17+P[3][0]*t3*t11*2.0f)+t3*t11*(P[0][3]*t17+P[3][3]*t3*t11*2.0f)*2.0f;
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return rot_var_vec;
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}
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