diff --git a/services/sensorservice/Fusion.cpp b/services/sensorservice/Fusion.cpp index 93d6127df..b88a6475f 100644 --- a/services/sensorservice/Fusion.cpp +++ b/services/sensorservice/Fusion.cpp @@ -201,15 +201,15 @@ void Fusion::initFusion(const vec4_t& q, float dT) // q11 = su^2.dt // - const float dT2 = dT*dT; - const float dT3 = dT2*dT; - - // variance of integrated output at 1/dT Hz (random drift) - const float q00 = gyroVAR * dT + 0.33333f * biasVAR * dT3; + // variance of integrated output at 1/dT Hz + // (random drift) + const float q00 = gyroVAR * dT; // variance of drift rate ramp const float q11 = biasVAR * dT; - const float q10 = 0.5f * biasVAR * dT2; + + const float u = q11 / dT; + const float q10 = 0.5f*u*dT*dT; const float q01 = q10; GQGt[0][0] = q00; // rad^2 @@ -220,22 +220,6 @@ void Fusion::initFusion(const vec4_t& q, float dT) // initial covariance: Var{ x(t0) } // TODO: initialize P correctly P = 0; - - // it is unclear how to set the initial covariance. It does affect - // how quickly the fusion converges. Experimentally it would take - // about 10 seconds at 200 Hz to estimate the gyro-drift with an - // initial covariance of 0, and about a second with an initial covariance - // of about 1 deg/s. - const float covv = 0; - const float covu = 0.5f * (float(M_PI) / 180); - mat33_t& Pv = P[0][0]; - Pv[0][0] = covv; - Pv[1][1] = covv; - Pv[2][2] = covv; - mat33_t& Pu = P[1][1]; - Pu[0][0] = covu; - Pu[1][1] = covu; - Pu[2][2] = covu; } bool Fusion::hasEstimate() const { @@ -373,11 +357,6 @@ mat33_t Fusion::getRotationMatrix() const { mat34_t Fusion::getF(const vec4_t& q) { mat34_t F; - - // This is used to compute the derivative of q - // F = | [q.xyz]x | - // | -q.xyz | - F[0].x = q.w; F[1].x =-q.z; F[2].x = q.y; F[0].y = q.z; F[1].y = q.w; F[2].y =-q.x; F[0].z =-q.y; F[1].z = q.x; F[2].z = q.w; @@ -389,18 +368,10 @@ void Fusion::predict(const vec3_t& w, float dT) { const vec4_t q = x0; const vec3_t b = x1; const vec3_t we = w - b; + const vec4_t dq = getF(q)*((0.5f*dT)*we); + x0 = normalize_quat(q + dq); - // q(k+1) = O(we)*q(k) - // -------------------- - // - // O(w) = | cos(0.5*||w||*dT)*I33 - [psi]x psi | - // | -psi' cos(0.5*||w||*dT) | - // - // psi = sin(0.5*||w||*dT)*w / ||w|| - // - // // P(k+1) = Phi(k)*P(k)*Phi(k)' + G*Q(k)*G' - // ---------------------------------------- // // G = | -I33 0 | // | 0 I33 | @@ -421,26 +392,13 @@ void Fusion::predict(const vec3_t& w, float dT) { const mat33_t wx(crossMatrix(we, 0)); const mat33_t wx2(wx*wx); const float lwedT = length(we)*dT; - const float hlwedT = 0.5f*lwedT; const float ilwe = 1/length(we); const float k0 = (1-cosf(lwedT))*(ilwe*ilwe); const float k1 = sinf(lwedT); - const float k2 = cosf(hlwedT); - const vec3_t psi(sinf(hlwedT)*ilwe*we); - const mat33_t O33(crossMatrix(-psi, k2)); - mat44_t O; - O[0].xyz = O33[0]; O[0].w = -psi.x; - O[1].xyz = O33[1]; O[1].w = -psi.y; - O[2].xyz = O33[2]; O[2].w = -psi.z; - O[3].xyz = psi; O[3].w = k2; Phi[0][0] = I33 - wx*(k1*ilwe) + wx2*k0; Phi[1][0] = wx*k0 - I33dT - wx2*(ilwe*ilwe*ilwe)*(lwedT-k1); - x0 = O*q; - if (x0.w < 0) - x0 = -x0; - P = Phi*P*transpose(Phi) + GQGt; checkState(); @@ -467,12 +425,7 @@ void Fusion::update(const vec3_t& z, const vec3_t& Bi, float sigma) { K[1] = transpose(P[1][0])*LtSi; // update... - // P = (I-K*H) * P - // P -= K*H*P - // | K0 | * | L 0 | * P = | K0*L 0 | * | P00 P10 | = | K0*L*P00 K0*L*P10 | - // | K1 | | K1*L 0 | | P01 P11 | | K1*L*P00 K1*L*P10 | - // Note: the Joseph form is numerically more stable and given by: - // P = (I-KH) * P * (I-KH)' + K*R*R' + // P -= K*H*P; const mat33_t K0L(K[0] * L); const mat33_t K1L(K[1] * L); P[0][0] -= K0L*P[0][0];