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OP-191: Spellcheck comments. Also, prevent an infinite loop in the case of a terrible calibration point set.
git-svn-id: svn://svn.openpilot.org/OpenPilot/trunk@3147 ebee16cc-31ac-478f-84a7-5cbb03baadba
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@ -8,7 +8,7 @@
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* @{
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* @{
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* @addtogroup Config plugin
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* @addtogroup Config plugin
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* @{
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* @{
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* @brief Impliments low-level calibration algorithms
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* @brief Implements low-level calibration algorithms
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*****************************************************************************/
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*****************************************************************************/
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/*
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/*
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* This program is free software; you can redistribute it and/or modify
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* This program is free software; you can redistribute it and/or modify
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@ -45,7 +45,7 @@
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* reading these first. Any bugs should be presumed to be JB's fault rather
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* reading these first. Any bugs should be presumed to be JB's fault rather
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* than Alonso and Shuster until proven otherwise.
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* than Alonso and Shuster until proven otherwise.
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*
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*
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* Reference [1]: "A New Algorithm for Attitude-independant magnetometer
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* Reference [1]: "A New Algorithm for Attitude-independent magnetometer
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* calibration", Robert Alonso and Malcolmn D. Shuster, Flight Mechanics/
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* calibration", Robert Alonso and Malcolmn D. Shuster, Flight Mechanics/
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* Estimation Theory Symposium, NASA Goddard, 1994, pp 513-527
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* Estimation Theory Symposium, NASA Goddard, 1994, pp 513-527
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*
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*
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@ -237,7 +237,7 @@ theta_to_sane(const Matrix<double, 6, 1>& theta)
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* b is the bias in the global reference frame
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* b is the bias in the global reference frame
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* \epsilon_k is the noise at the kth sample
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* \epsilon_k is the noise at the kth sample
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* This implementation makes the assumption that \epsilon is a constant white,
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* This implementation makes the assumption that \epsilon is a constant white,
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* guassian noise source that is common to all k. The misalignment matrix O
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* gaussian noise source that is common to all k. The misalignment matrix O
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* is not computed, and the off-diagonal elements of D, corresponding to the
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* is not computed, and the off-diagonal elements of D, corresponding to the
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* misalignment scale factors are not either.
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* misalignment scale factors are not either.
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*
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*
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@ -385,7 +385,7 @@ E_theta(const Matrix<double, 9, 1>& theta)
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}
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}
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/**
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/**
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* Compute the gradiant of the squared norm of b with respect to theta. Note
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* Compute the gradient of the squared norm of b with respect to theta. Note
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* that b itself is just a function of theta. Therefore, this function
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* that b itself is just a function of theta. Therefore, this function
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* computes \frac{\delta,\delta\theta'}\left|b(\theta')\right|
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* computes \frac{\delta,\delta\theta'}\left|b(\theta')\right|
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* From eq 55 of [2].
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* From eq 55 of [2].
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@ -409,12 +409,12 @@ dnormb_dtheta(const Matrix<double, 9, 1>& theta)
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-2*IE_inv_c.coeff(1)*IE_inv_c.coeff(2)).finished();
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-2*IE_inv_c.coeff(1)*IE_inv_c.coeff(2)).finished();
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}
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}
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// The gradiant of the cost function with respect to theta, at a particular
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// The gradient of the cost function with respect to theta, at a particular
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// value of theta.
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// value of theta.
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// @param centerL: The center of the samples theta'
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// @param centerL: The center of the samples theta'
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// @param centerMag: The center of the magnitude data
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// @param centerMag: The center of the magnitude data
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// @param theta: The estimate of the bias and scale factor
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// @param theta: The estimate of the bias and scale factor
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// @return the gradiant of the cost function with respect to the
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// @return the gradient of the cost function with respect to the
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// current value of the estimate, theta'
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// current value of the estimate, theta'
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Matrix<double, 9, 1>
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Matrix<double, 9, 1>
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dJ_dtheta(const Matrix<double, 9, 1>& centerL,
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dJ_dtheta(const Matrix<double, 9, 1>& centerL,
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@ -452,12 +452,12 @@ dJ_dtheta(const Matrix<double, 9, 1>& centerL,
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* b is the bias in the global reference frame
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* b is the bias in the global reference frame
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* \epsilon_k is the noise at the kth sample
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* \epsilon_k is the noise at the kth sample
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*
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*
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* After computing the scale factor and bias matricies, the optimal estimate is
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* After computing the scale factor and bias matrices, the optimal estimate is
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* given by
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* given by
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* \tilde{B}_k = (I_{3x3} + D)B_k - b
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* \tilde{B}_k = (I_{3x3} + D)B_k - b
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*
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*
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* This implementation makes the assumption that \epsilon is a constant white,
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* This implementation makes the assumption that \epsilon is a constant white,
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* guassian noise source that is common to all k. The misalignment matrix O
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* gaussian noise source that is common to all k. The misalignment matrix O
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* is not computed.
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* is not computed.
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*
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*
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* @param bias[out] The computed bias, in the global frame
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* @param bias[out] The computed bias, in the global frame
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@ -477,7 +477,7 @@ void twostep_bias_scale(Vector3f& bias,
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{
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{
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// Define L_k by eq 51 for k = 1 .. n_samples
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// Define L_k by eq 51 for k = 1 .. n_samples
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Matrix<double, Dynamic, 9> fullSamples(n_samples, 9);
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Matrix<double, Dynamic, 9> fullSamples(n_samples, 9);
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// \hbar{L} by eq 52, simplified by obesrving that the common noise term
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// \hbar{L} by eq 52, simplified by observing that the common noise term
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// makes this a simple average.
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// makes this a simple average.
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Matrix<double, 1, 9> centerSample = Matrix<double, 1, 9>::Zero();
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Matrix<double, 1, 9> centerSample = Matrix<double, 1, 9>::Zero();
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// Define the sample differences z_k by eq 23 a)
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// Define the sample differences z_k by eq 23 a)
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@ -534,11 +534,11 @@ void twostep_bias_scale(Vector3f& bias,
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// By eq 57a
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// By eq 57a
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P_theta_theta_inv.ldlt().solve(estimateSummation, &estimate);
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P_theta_theta_inv.ldlt().solve(estimateSummation, &estimate);
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// estimate i+1 = estimate_i - Fisher^{-1}(at estimate_i)*gradiant(theta)
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// estimate i+1 = estimate_i - Fisher^{-1}(at estimate_i)*gradient(theta)
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// Fisher^{-1} = \tilde{Fisher}^-1 + \hbar{Fisher}^{-1}
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// Fisher^{-1} = \tilde{Fisher}^-1 + \hbar{Fisher}^{-1}
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size_t count = 0;
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size_t count = 0;
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double eta = 10000;
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double eta = 10000;
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while (count++ < 2000 && eta > 1e-8) {
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while (count++ < 200 && eta > 1e-8) {
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static bool warned = false;
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static bool warned = false;
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if (hasNaN(estimate)) {
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if (hasNaN(estimate)) {
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std::cout << "WARNING: found NaN at time " << count << "\n";
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std::cout << "WARNING: found NaN at time " << count << "\n";
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@ -583,6 +583,7 @@ void twostep_bias_scale(Vector3f& bias,
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std::cout << "terminated at eta = " << eta
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std::cout << "terminated at eta = " << eta
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<< " after " << count << " iterations\n";
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<< " after " << count << " iterations\n";
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if (!isnan(eta) && !isinf(eta)) {
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// Transform the estimated parameters from [c | E] back into [b | D].
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// Transform the estimated parameters from [c | E] back into [b | D].
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// See eq 63-65
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// See eq 63-65
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SelfAdjointEigenSolver<Matrix3d> eig_E(E_theta(estimate));
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SelfAdjointEigenSolver<Matrix3d> eig_E(E_theta(estimate));
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@ -596,4 +597,12 @@ void twostep_bias_scale(Vector3f& bias,
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(Matrix3f::Identity() + scale).ldlt().solve(
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(Matrix3f::Identity() + scale).ldlt().solve(
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estimate.start<3>().cast<float>(), &bias);
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estimate.start<3>().cast<float>(), &bias);
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}
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}
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else {
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// return nonsense data. The eigensolver can fall ingo
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// an infinite loop otherwise.
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// TODO: Add error code return
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scale = Matrix3f::Ones()*std::numeric_limits<float>::quiet_NaN();
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bias = Vector3f::Zero();
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}
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}
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