#include "PtgCtrl.h" #include #include #include #include #include PtgCtrl::PtgCtrl(AcsParameters *acsParameters_) { acsParameters = acsParameters_; } PtgCtrl::~PtgCtrl() {} void PtgCtrl::ptgLaw(AcsParameters::PointingLawParameters *pointingLawParameters, const double *errorQuat, const double *deltaRate, const double *rwPseudoInv, double *torqueRws) { //------------------------------------------------------------------------------------------------ // Compute gain matrix K and P matrix //------------------------------------------------------------------------------------------------ double om = pointingLawParameters->om; double zeta = pointingLawParameters->zeta; double qErrorMin = pointingLawParameters->qiMin; double omMax = pointingLawParameters->omMax; double qError[3] = {errorQuat[0], errorQuat[1], errorQuat[2]}; double cInt = 2 * om * zeta; double kInt = 2 * pow(om, 2); double qErrorLaw[3] = {0, 0, 0}; for (int i = 0; i < 3; i++) { if (std::abs(qError[i]) < qErrorMin) { qErrorLaw[i] = qErrorMin; } else { qErrorLaw[i] = std::abs(qError[i]); } } double qErrorLawNorm = VectorOperations::norm(qErrorLaw, 3); double gain1 = cInt * omMax / qErrorLawNorm; double gainVector[3] = {0, 0, 0}; VectorOperations::mulScalar(qErrorLaw, gain1, gainVector, 3); double gainMatrixDiagonal[3][3] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}}; double gainMatrix[3][3] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}}; gainMatrixDiagonal[0][0] = gainVector[0]; gainMatrixDiagonal[1][1] = gainVector[1]; gainMatrixDiagonal[2][2] = gainVector[2]; MatrixOperations::multiply(*gainMatrixDiagonal, *(acsParameters->inertiaEIVE.inertiaMatrixDeployed), *gainMatrix, 3, 3, 3); // Inverse of gainMatrix double gainMatrixInverse[3][3] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}}; gainMatrixInverse[0][0] = 1 / gainMatrix[0][0]; gainMatrixInverse[1][1] = 1 / gainMatrix[1][1]; gainMatrixInverse[2][2] = 1 / gainMatrix[2][2]; double pMatrix[3][3] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}}; MatrixOperations::multiply( *gainMatrixInverse, *(acsParameters->inertiaEIVE.inertiaMatrixDeployed), *pMatrix, 3, 3, 3); MatrixOperations::multiplyScalar(*pMatrix, kInt, *pMatrix, 3, 3); //------------------------------------------------------------------------------------------------ // Torque Calculations for the reaction wheels //------------------------------------------------------------------------------------------------ double pError[3] = {0, 0, 0}; MatrixOperations::multiply(*pMatrix, qError, pError, 3, 3, 1); double pErrorSign[3] = {0, 0, 0}; for (int i = 0; i < 3; i++) { if (std::abs(pError[i]) > 1) { pErrorSign[i] = sign(pError[i]); } else { pErrorSign[i] = pError[i]; } } // torque for quaternion error double torqueQuat[3] = {0, 0, 0}; MatrixOperations::multiply(*gainMatrix, pErrorSign, torqueQuat, 3, 3, 1); VectorOperations::mulScalar(torqueQuat, -1, torqueQuat, 3); // torque for rate error double torqueRate[3] = {0, 0, 0}; MatrixOperations::multiply(*(acsParameters->inertiaEIVE.inertiaMatrixDeployed), deltaRate, torqueRate, 3, 3, 1); VectorOperations::mulScalar(torqueRate, cInt, torqueRate, 3); VectorOperations::mulScalar(torqueRate, -1, torqueRate, 3); // final commanded Torque for every reaction wheel double torque[3] = {0, 0, 0}; VectorOperations::add(torqueRate, torqueQuat, torque, 3); MatrixOperations::multiply(rwPseudoInv, torque, torqueRws, 4, 3, 1); VectorOperations::mulScalar(torqueRws, -1, torqueRws, 4); } void PtgCtrl::ptgNullspace(AcsParameters::PointingLawParameters *pointingLawParameters, const int32_t speedRw0, const int32_t speedRw1, const int32_t speedRw2, const int32_t speedRw3, double *rwTrqNs) { // concentrate RW speeds as vector and convert to double double speedRws[4] = {static_cast(speedRw0), static_cast(speedRw1), static_cast(speedRw2), static_cast(speedRw3)}; VectorOperations::mulScalar(speedRws, 1e-1, speedRws, 4); VectorOperations::mulScalar(speedRws, RPM_TO_RAD_PER_SEC, speedRws, 4); // calculate RPM offset utilizing the nullspace double rpmOffset[4] = {0, 0, 0, 0}; double rpmOffsetSpeed = pointingLawParameters->nullspaceSpeed / 10 * RPM_TO_RAD_PER_SEC; VectorOperations::mulScalar(acsParameters->rwMatrices.nullspaceVector, rpmOffsetSpeed, rpmOffset, 4); // calculate resulting angular momentum double rwAngMomentum[4] = {0, 0, 0, 0}, diffRwSpeed[4] = {0, 0, 0, 0}; VectorOperations::subtract(speedRws, rpmOffset, diffRwSpeed, 4); VectorOperations::mulScalar(diffRwSpeed, acsParameters->rwHandlingParameters.inertiaWheel, rwAngMomentum, 4); // calculate resulting torque double nullspaceMatrix[4][4] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}}; MatrixOperations::multiply(acsParameters->rwMatrices.nullspaceVector, acsParameters->rwMatrices.nullspaceVector, *nullspaceMatrix, 4, 1, 4); MatrixOperations::multiply(*nullspaceMatrix, rwAngMomentum, rwTrqNs, 4, 4, 1); VectorOperations::mulScalar(rwTrqNs, -1 * pointingLawParameters->gainNullspace, rwTrqNs, 4); } void PtgCtrl::ptgDesaturation(AcsParameters::PointingLawParameters *pointingLawParameters, const double *magFieldB, const bool magFieldBValid, const double *satRate, const int32_t speedRw0, const int32_t speedRw1, const int32_t speedRw2, const int32_t speedRw3, double *mgtDpDes) { if (not magFieldBValid or not pointingLawParameters->desatOn) { return; } // concentrate RW speeds as vector and convert to double double speedRws[4] = {static_cast(speedRw0), static_cast(speedRw1), static_cast(speedRw2), static_cast(speedRw3)}; // convert magFieldB from uT to T double magFieldBT[3] = {0, 0, 0}; VectorOperations::mulScalar(magFieldB, 1e-6, magFieldBT, 3); // calculate angular momentum of the satellite double angMomentumSat[3] = {0, 0, 0}; MatrixOperations::multiply(*(acsParameters->inertiaEIVE.inertiaMatrixDeployed), satRate, angMomentumSat, 3, 3, 1); // calculate angular momentum of the reaction wheels with respect to the nullspace RW speed // relocate RW speed zero to nullspace RW speed double refSpeedRws[4] = {0, 0, 0, 0}; VectorOperations::mulScalar(acsParameters->rwMatrices.nullspaceVector, pointingLawParameters->nullspaceSpeed, refSpeedRws, 4); VectorOperations::subtract(speedRws, refSpeedRws, speedRws, 4); // convert speed from 10 RPM to 1 RPM VectorOperations::mulScalar(speedRws, 1e-1, speedRws, 4); // convert to rad/s VectorOperations::mulScalar(speedRws, RPM_TO_RAD_PER_SEC, speedRws, 4); // calculate angular momentum of each RW double angMomentumRwU[4] = {0, 0, 0, 0}; VectorOperations::mulScalar(speedRws, acsParameters->rwHandlingParameters.inertiaWheel, angMomentumRwU, 4); // convert RW angular momentum to body RF double angMomentumRw[3] = {0, 0, 0}; MatrixOperations::multiply(*(acsParameters->rwMatrices.alignmentMatrix), angMomentumRwU, angMomentumRw, 3, 4, 1); // calculate total angular momentum double angMomentumTotal[3] = {0, 0, 0}; VectorOperations::add(angMomentumSat, angMomentumRw, angMomentumTotal, 3); // calculating momentum error double deltaAngMomentum[3] = {0, 0, 0}; VectorOperations::subtract(angMomentumTotal, pointingLawParameters->desatMomentumRef, deltaAngMomentum, 3); // resulting magnetic dipole command double crossAngMomentumMagField[3] = {0, 0, 0}; VectorOperations::cross(deltaAngMomentum, magFieldBT, crossAngMomentumMagField); double factor = pointingLawParameters->deSatGainFactor / VectorOperations::norm(magFieldBT, 3); VectorOperations::mulScalar(crossAngMomentumMagField, factor, mgtDpDes, 3); } void PtgCtrl::rwAntistiction(ACS::SensorValues *sensorValues, int32_t *rwCmdSpeeds) { bool rwAvailable[4] = { (sensorValues->rw1Set.state.value && sensorValues->rw1Set.state.isValid()), (sensorValues->rw2Set.state.value && sensorValues->rw2Set.state.isValid()), (sensorValues->rw3Set.state.value && sensorValues->rw3Set.state.isValid()), (sensorValues->rw4Set.state.value && sensorValues->rw4Set.state.isValid())}; int32_t currRwSpeed[4] = { sensorValues->rw1Set.currSpeed.value, sensorValues->rw2Set.currSpeed.value, sensorValues->rw3Set.currSpeed.value, sensorValues->rw4Set.currSpeed.value}; for (uint8_t i = 0; i < 4; i++) { if (rwAvailable[i]) { if (rwCmdSpeeds[i] != 0) { if (rwCmdSpeeds[i] > -acsParameters->rwHandlingParameters.stictionSpeed && rwCmdSpeeds[i] < acsParameters->rwHandlingParameters.stictionSpeed) { if (rwCmdSpeeds[i] > currRwSpeed[i]) { rwCmdSpeeds[i] = acsParameters->rwHandlingParameters.stictionSpeed; } else if (rwCmdSpeeds[i] < currRwSpeed[i]) { rwCmdSpeeds[i] = -acsParameters->rwHandlingParameters.stictionSpeed; } } } } } }