/// -*- tab-width: 4; Mode: C++; c-basic-offset: 4; indent-tabs-mode: nil -*- #include #if HAL_CPU_CLASS >= HAL_CPU_CLASS_150 #include "AP_NavEKF2.h" #include "AP_NavEKF2_core.h" #include #include #include extern const AP_HAL::HAL& hal; /******************************************************** * RESET FUNCTIONS * ********************************************************/ // Reset velocity states to last GPS measurement if available or to zero if in constant position mode or if PV aiding is not absolute // Do not reset vertical velocity using GPS as there is baro alt available to constrain drift void NavEKF2_core::ResetVelocity(void) { // Store the position before the reset so that we can record the reset delta velResetNE.x = stateStruct.velocity.x; velResetNE.y = stateStruct.velocity.y; if (PV_AidingMode != AID_ABSOLUTE) { stateStruct.velocity.zero(); } else if (!gpsNotAvailable) { // reset horizontal velocity states to the GPS velocity stateStruct.velocity.x = gpsDataNew.vel.x; // north velocity from blended accel data stateStruct.velocity.y = gpsDataNew.vel.y; // east velocity from blended accel data } for (uint8_t i=0; i_fusionModeGPS == 0) { stateStruct.velocity.z = gpsDataNew.vel.z; } else if (onGround) { stateStruct.velocity.z = 0.0f; } for (uint8_t i=0; i_altSource == 1) { return false; } // record the old height estimate float oldHgt = -stateStruct.position.z; // reset the barometer so that it reads zero at the current height frontend->_baro.update_calibration(); // reset the height state stateStruct.position.z = 0.0f; // adjust the height of the EKF origin so that the origin plus baro height before and afer the reset is the same if (validOrigin) { EKF_origin.alt += oldHgt*100; } return true; } /******************************************************** * FUSE MEASURED_DATA * ********************************************************/ // select fusion of velocity, position and height measurements void NavEKF2_core::SelectVelPosFusion() { // Check if the magnetometer has been fused on that time step and the filter is running at faster than 200 Hz // If so, don't fuse measurements on this time step to reduce frame over-runs // Only allow one time slip to prevent high rate magnetometer data preventing fusion of other measurements if (magFusePerformed && dtIMUavg < 0.005f && !posVelFusionDelayed) { posVelFusionDelayed = true; return; } else { posVelFusionDelayed = false; } // read GPS data from the sensor and check for new data in the buffer readGpsData(); gpsDataToFuse = storedGPS.recall(gpsDataDelayed,imuDataDelayed.time_ms); // Determine if we need to fuse position and velocity data on this time step if (gpsDataToFuse && PV_AidingMode == AID_ABSOLUTE) { // Don't fuse velocity data if GPS doesn't support it if (frontend->_fusionModeGPS <= 1) { fuseVelData = true; } else { fuseVelData = false; } fusePosData = true; } else { fuseVelData = false; fusePosData = false; } // Select height data to be fused from the available baro, range finder and GPS sources selectHeightForFusion(); // If we are operating without any aiding, fuse in the last known position and zero velocity // to constrain tilt drift. This assumes a non-manoeuvring vehicle // Do this to coincide with the height fusion if (fuseHgtData && PV_AidingMode == AID_NONE) { gpsDataDelayed.vel.zero(); gpsDataDelayed.pos.x = lastKnownPositionNE.x; gpsDataDelayed.pos.y = lastKnownPositionNE.y; // only fuse synthetic measurements when rate of change of velocity is less than 1g to reduce attitude errors due to launch acceleration if (accNavMag < 9.8f) { fusePosData = true; fuseVelData = true; } else { fusePosData = false; fuseVelData = false; } } // perform fusion if (fuseVelData || fusePosData || fuseHgtData) { FuseVelPosNED(); // clear the flags to prevent repeated fusion of the same data fuseVelData = false; fuseHgtData = false; fusePosData = false; } } // fuse selected position, velocity and height measurements void NavEKF2_core::FuseVelPosNED() { // start performance timer hal.util->perf_begin(_perf_FuseVelPosNED); // health is set bad until test passed velHealth = false; posHealth = false; hgtHealth = false; // declare variables used to check measurement errors Vector3f velInnov; // declare variables used to control access to arrays bool fuseData[6] = {false,false,false,false,false,false}; uint8_t stateIndex; uint8_t obsIndex; // declare variables used by state and covariance update calculations float posErr; Vector6 R_OBS; // Measurement variances used for fusion Vector6 R_OBS_DATA_CHECKS; // Measurement variances used for data checks only Vector6 observation; float SK; // perform sequential fusion of GPS measurements. This assumes that the // errors in the different velocity and position components are // uncorrelated which is not true, however in the absence of covariance // data from the GPS receiver it is the only assumption we can make // so we might as well take advantage of the computational efficiencies // associated with sequential fusion if (fuseVelData || fusePosData || fuseHgtData) { // set the GPS data timeout depending on whether airspeed data is present uint32_t gpsRetryTime; if (useAirspeed()) gpsRetryTime = frontend->gpsRetryTimeUseTAS_ms; else gpsRetryTime = frontend->gpsRetryTimeNoTAS_ms; // form the observation vector observation[0] = gpsDataDelayed.vel.x; observation[1] = gpsDataDelayed.vel.y; observation[2] = gpsDataDelayed.vel.z; observation[3] = gpsDataDelayed.pos.x; observation[4] = gpsDataDelayed.pos.y; observation[5] = -hgtMea; // calculate additional error in GPS position caused by manoeuvring posErr = frontend->gpsPosVarAccScale * accNavMag; // estimate the GPS Velocity, GPS horiz position and height measurement variances. // if the GPS is able to report a speed error, we use it to adjust the observation noise for GPS velocity // otherwise we scale it using manoeuvre acceleration // Use different errors if flying without GPS using synthetic position and velocity data if (PV_AidingMode == AID_NONE && motorsArmed) { // Assume the vehicle will be flown with velocity changes less than 10 m/s in this mode (realistic for indoor use) // This is a compromise between corrections for gyro errors and reducing angular errors due to maneouvres R_OBS[0] = sq(10.0f); R_OBS[1] = R_OBS[0]; R_OBS[2] = R_OBS[0]; // Assume a large position uncertainty so as to contrain position states in this mode but minimise angular errors due to manoeuvres R_OBS[3] = sq(25.0f); R_OBS[4] = R_OBS[3]; R_OBS[5] = posDownObsNoise; for (uint8_t i=0; i<=5; i++) R_OBS_DATA_CHECKS[i] = R_OBS[i]; } else { if (gpsSpdAccuracy > 0.0f) { // use GPS receivers reported speed accuracy if available and floor at value set by gps noise parameter R_OBS[0] = sq(constrain_float(gpsSpdAccuracy, frontend->_gpsHorizVelNoise, 50.0f)); R_OBS[2] = sq(constrain_float(gpsSpdAccuracy, frontend->_gpsVertVelNoise, 50.0f)); } else { // calculate additional error in GPS velocity caused by manoeuvring R_OBS[0] = sq(constrain_float(frontend->_gpsHorizVelNoise, 0.05f, 5.0f)) + sq(frontend->gpsNEVelVarAccScale * accNavMag); R_OBS[2] = sq(constrain_float(frontend->_gpsVertVelNoise, 0.05f, 5.0f)) + sq(frontend->gpsDVelVarAccScale * accNavMag); } R_OBS[1] = R_OBS[0]; R_OBS[3] = sq(constrain_float(frontend->_gpsHorizPosNoise, 0.1f, 10.0f)) + sq(posErr); R_OBS[4] = R_OBS[3]; R_OBS[5] = posDownObsNoise; // For data integrity checks we use the same measurement variances as used to calculate the Kalman gains for all measurements except GPS horizontal velocity // For horizontal GPs velocity we don't want the acceptance radius to increase with reported GPS accuracy so we use a value based on best GPs perfomrance // plus a margin for manoeuvres. It is better to reject GPS horizontal velocity errors early for (uint8_t i=0; i<=2; i++) R_OBS_DATA_CHECKS[i] = sq(constrain_float(frontend->_gpsHorizVelNoise, 0.05f, 5.0f)) + sq(frontend->gpsNEVelVarAccScale * accNavMag); for (uint8_t i=3; i<=5; i++) R_OBS_DATA_CHECKS[i] = R_OBS[i]; } // if vertical GPS velocity data and an independant height source is being used, check to see if the GPS vertical velocity and altimeter // innovations have the same sign and are outside limits. If so, then it is likely aliasing is affecting // the accelerometers and we should disable the GPS and barometer innovation consistency checks. if (useGpsVertVel && fuseVelData && (frontend->_altSource != 2)) { // calculate innovations for height and vertical GPS vel measurements float hgtErr = stateStruct.position.z - observation[5]; float velDErr = stateStruct.velocity.z - observation[2]; // check if they are the same sign and both more than 3-sigma out of bounds if ((hgtErr*velDErr > 0.0f) && (sq(hgtErr) > 9.0f * (P[8][8] + R_OBS_DATA_CHECKS[5])) && (sq(velDErr) > 9.0f * (P[5][5] + R_OBS_DATA_CHECKS[2]))) { badIMUdata = true; } else { badIMUdata = false; } } // calculate innovations and check GPS data validity using an innovation consistency check // test position measurements if (fusePosData) { // test horizontal position measurements innovVelPos[3] = stateStruct.position.x - observation[3]; innovVelPos[4] = stateStruct.position.y - observation[4]; varInnovVelPos[3] = P[6][6] + R_OBS_DATA_CHECKS[3]; varInnovVelPos[4] = P[7][7] + R_OBS_DATA_CHECKS[4]; // apply an innovation consistency threshold test, but don't fail if bad IMU data float maxPosInnov2 = sq(MAX(0.01f * (float)frontend->_gpsPosInnovGate, 1.0f))*(varInnovVelPos[3] + varInnovVelPos[4]); posTestRatio = (sq(innovVelPos[3]) + sq(innovVelPos[4])) / maxPosInnov2; posHealth = ((posTestRatio < 1.0f) || badIMUdata); // declare a timeout condition if we have been too long without data or not aiding posTimeout = (((imuSampleTime_ms - lastPosPassTime_ms) > gpsRetryTime) || PV_AidingMode == AID_NONE); // use position data if healthy, timed out, or in constant position mode if (posHealth || posTimeout || (PV_AidingMode == AID_NONE)) { posHealth = true; // only reset the failed time and do glitch timeout checks if we are doing full aiding if (PV_AidingMode == AID_ABSOLUTE) { lastPosPassTime_ms = imuSampleTime_ms; // if timed out or outside the specified uncertainty radius, reset to the GPS if (posTimeout || ((P[6][6] + P[7][7]) > sq(float(frontend->_gpsGlitchRadiusMax)))) { // reset the position to the current GPS position ResetPosition(); // reset the velocity to the GPS velocity ResetVelocity(); // don't fuse GPS data on this time step fusePosData = false; fuseVelData = false; // Reset the position variances and corresponding covariances to a value that will pass the checks zeroRows(P,6,7); zeroCols(P,6,7); P[6][6] = sq(float(0.5f*frontend->_gpsGlitchRadiusMax)); P[7][7] = P[6][6]; // Reset the normalised innovation to avoid failing the bad fusion tests posTestRatio = 0.0f; velTestRatio = 0.0f; } } } else { posHealth = false; } } // test velocity measurements if (fuseVelData) { // test velocity measurements uint8_t imax = 2; // Don't fuse vertical velocity observations if inhibited by the user or if we are using synthetic data if (frontend->_fusionModeGPS >= 1 || PV_AidingMode != AID_ABSOLUTE) { imax = 1; } float innovVelSumSq = 0; // sum of squares of velocity innovations float varVelSum = 0; // sum of velocity innovation variances for (uint8_t i = 0; i<=imax; i++) { // velocity states start at index 3 stateIndex = i + 3; // calculate innovations using blended and single IMU predicted states velInnov[i] = stateStruct.velocity[i] - observation[i]; // blended // calculate innovation variance varInnovVelPos[i] = P[stateIndex][stateIndex] + R_OBS_DATA_CHECKS[i]; // sum the innovation and innovation variances innovVelSumSq += sq(velInnov[i]); varVelSum += varInnovVelPos[i]; } // apply an innovation consistency threshold test, but don't fail if bad IMU data // calculate the test ratio velTestRatio = innovVelSumSq / (varVelSum * sq(MAX(0.01f * (float)frontend->_gpsVelInnovGate, 1.0f))); // fail if the ratio is greater than 1 velHealth = ((velTestRatio < 1.0f) || badIMUdata); // declare a timeout if we have not fused velocity data for too long or not aiding velTimeout = (((imuSampleTime_ms - lastVelPassTime_ms) > gpsRetryTime) || PV_AidingMode == AID_NONE); // use velocity data if healthy, timed out, or in constant position mode if (velHealth || velTimeout) { velHealth = true; // restart the timeout count lastVelPassTime_ms = imuSampleTime_ms; // If we are doing full aiding and velocity fusion times out, reset to the GPS velocity if (PV_AidingMode == AID_ABSOLUTE && velTimeout) { // reset the velocity to the GPS velocity ResetVelocity(); // don't fuse GPS velocity data on this time step fuseVelData = false; // Reset the normalised innovation to avoid failing the bad fusion tests velTestRatio = 0.0f; } } else { velHealth = false; } } // test height measurements if (fuseHgtData) { // calculate height innovations innovVelPos[5] = stateStruct.position.z - observation[5]; varInnovVelPos[5] = P[8][8] + R_OBS_DATA_CHECKS[5]; // calculate the innovation consistency test ratio hgtTestRatio = sq(innovVelPos[5]) / (sq(MAX(0.01f * (float)frontend->_hgtInnovGate, 1.0f)) * varInnovVelPos[5]); // fail if the ratio is > 1, but don't fail if bad IMU data hgtHealth = ((hgtTestRatio < 1.0f) || badIMUdata); // Fuse height data if healthy or timed out or in constant position mode if (hgtHealth || hgtTimeout || (PV_AidingMode == AID_NONE && onGround)) { // Calculate a filtered value to be used by pre-flight health checks // We need to filter because wind gusts can generate significant baro noise and we want to be able to detect bias errors in the inertial solution if (onGround) { float dtBaro = (imuSampleTime_ms - lastHgtPassTime_ms)*1.0e-3f; const float hgtInnovFiltTC = 2.0f; float alpha = constrain_float(dtBaro/(dtBaro+hgtInnovFiltTC),0.0f,1.0f); hgtInnovFiltState += (innovVelPos[5]-hgtInnovFiltState)*alpha; } else { hgtInnovFiltState = 0.0f; } // if timed out, reset the height if (hgtTimeout) { ResetHeight(); hgtTimeout = false; } // If we have got this far then declare the height data as healthy and reset the timeout counter hgtHealth = true; lastHgtPassTime_ms = imuSampleTime_ms; } } // set range for sequential fusion of velocity and position measurements depending on which data is available and its health if (fuseVelData && velHealth) { fuseData[0] = true; fuseData[1] = true; if (useGpsVertVel) { fuseData[2] = true; } tiltErrVec.zero(); } if (fusePosData && posHealth) { fuseData[3] = true; fuseData[4] = true; tiltErrVec.zero(); } if (fuseHgtData && hgtHealth) { fuseData[5] = true; } // fuse measurements sequentially for (obsIndex=0; obsIndex<=5; obsIndex++) { if (fuseData[obsIndex]) { stateIndex = 3 + obsIndex; // calculate the measurement innovation, using states from a different time coordinate if fusing height data // adjust scaling on GPS measurement noise variances if not enough satellites if (obsIndex <= 2) { innovVelPos[obsIndex] = stateStruct.velocity[obsIndex] - observation[obsIndex]; R_OBS[obsIndex] *= sq(gpsNoiseScaler); } else if (obsIndex == 3 || obsIndex == 4) { innovVelPos[obsIndex] = stateStruct.position[obsIndex-3] - observation[obsIndex]; R_OBS[obsIndex] *= sq(gpsNoiseScaler); } else if (obsIndex == 5) { innovVelPos[obsIndex] = stateStruct.position[obsIndex-3] - observation[obsIndex]; const float gndMaxBaroErr = 4.0f; const float gndBaroInnovFloor = -0.5f; if(getTouchdownExpected()) { // when a touchdown is expected, floor the barometer innovation at gndBaroInnovFloor // constrain the correction between 0 and gndBaroInnovFloor+gndMaxBaroErr // this function looks like this: // |/ //---------|--------- // ____/| // / | // / | innovVelPos[5] += constrain_float(-innovVelPos[5]+gndBaroInnovFloor, 0.0f, gndBaroInnovFloor+gndMaxBaroErr); } } // calculate the Kalman gain and calculate innovation variances varInnovVelPos[obsIndex] = P[stateIndex][stateIndex] + R_OBS[obsIndex]; SK = 1.0f/varInnovVelPos[obsIndex]; for (uint8_t i= 0; i<=15; i++) { Kfusion[i] = P[i][stateIndex]*SK; } // inhibit magnetic field state estimation by setting Kalman gains to zero if (!inhibitMagStates) { for (uint8_t i = 16; i<=21; i++) { Kfusion[i] = P[i][stateIndex]*SK; } } else { for (uint8_t i = 16; i<=21; i++) { Kfusion[i] = 0.0f; } } // inhibit wind state estimation by setting Kalman gains to zero if (!inhibitWindStates) { Kfusion[22] = P[22][stateIndex]*SK; Kfusion[23] = P[23][stateIndex]*SK; } else { Kfusion[22] = 0.0f; Kfusion[23] = 0.0f; } // zero the attitude error state - by definition it is assumed to be zero before each observaton fusion stateStruct.angErr.zero(); // calculate state corrections and re-normalise the quaternions for states predicted using the blended IMU data for (uint8_t i = 0; i<=stateIndexLim; i++) { statesArray[i] = statesArray[i] - Kfusion[i] * innovVelPos[obsIndex]; } // the first 3 states represent the angular misalignment vector. This is // is used to correct the estimated quaternion stateStruct.quat.rotate(stateStruct.angErr); // sum the attitude error from velocity and position fusion only // used as a metric for convergence monitoring if (obsIndex != 5) { tiltErrVec += stateStruct.angErr; } // update the covariance - take advantage of direct observation of a single state at index = stateIndex to reduce computations // this is a numerically optimised implementation of standard equation P = (I - K*H)*P; for (uint8_t i= 0; i<=stateIndexLim; i++) { for (uint8_t j= 0; j<=stateIndexLim; j++) { KHP[i][j] = Kfusion[i] * P[stateIndex][j]; } } for (uint8_t i= 0; i<=stateIndexLim; i++) { for (uint8_t j= 0; j<=stateIndexLim; j++) { P[i][j] = P[i][j] - KHP[i][j]; } } } } } // force the covariance matrix to be symmetrical and limit the variances to prevent ill-condiioning. ForceSymmetry(); ConstrainVariances(); // stop performance timer hal.util->perf_end(_perf_FuseVelPosNED); } /******************************************************** * MISC FUNCTIONS * ********************************************************/ // select the height measurement to be fused from the available baro, range finder and GPS sources void NavEKF2_core::selectHeightForFusion() { // Read range finder data and check for new data in the buffer // This data is used by both height and optical flow fusion processing readRangeFinder(); rangeDataToFuse = storedRange.recall(rangeDataDelayed,imuDataDelayed.time_ms); // read baro height data from the sensor and check for new data in the buffer readBaroData(); baroDataToFuse = storedBaro.recall(baroDataDelayed, imuDataDelayed.time_ms); // determine if we should be using a height source other than baro bool usingRangeForHgt = (frontend->_altSource == 1 && imuSampleTime_ms - rngValidMeaTime_ms < 500 && frontend->_fusionModeGPS == 3); bool usingGpsForHgt = (frontend->_altSource == 2 && imuSampleTime_ms - lastTimeGpsReceived_ms < 500 && validOrigin); // if there is new baro data to fuse, calculate filterred baro data required by other processes if (baroDataToFuse) { // calculate offset to baro data that enables baro to be used as a backup if we are using other height sources if (usingRangeForHgt || usingGpsForHgt) { calcFiltBaroOffset(); } // filtered baro data used to provide a reference for takeoff // it is is reset to last height measurement on disarming in performArmingChecks() if (!getTakeoffExpected()) { const float gndHgtFiltTC = 0.5f; const float dtBaro = frontend->hgtAvg_ms*1.0e-3f; float alpha = constrain_float(dtBaro / (dtBaro+gndHgtFiltTC),0.0f,1.0f); meaHgtAtTakeOff += (baroDataDelayed.hgt-meaHgtAtTakeOff)*alpha; } } // Select the height measurement source if (rangeDataToFuse && usingRangeForHgt) { // using range finder data // correct for tilt using a flat earth model if (prevTnb.c.z >= 0.7) { hgtMea = MAX(rangeDataDelayed.rng * prevTnb.c.z, rngOnGnd); // enable fusion fuseHgtData = true; // set the observation noise posDownObsNoise = sq(constrain_float(frontend->_rngNoise, 0.1f, 10.0f)); } else { // disable fusion if tilted too far fuseHgtData = false; } } else if (gpsDataToFuse && usingGpsForHgt) { // using GPS data hgtMea = gpsDataDelayed.hgt; // enable fusion fuseHgtData = true; // set the observation noise to the horizontal GPS noise plus a scaler becasue GPS vertical position is usually less accurate // TODO use VDOP/HDOP, reported accuracy or a separate parameter posDownObsNoise = sq(constrain_float(frontend->_gpsHorizPosNoise * 1.5f, 0.1f, 10.0f)); } else if (baroDataToFuse && !usingRangeForHgt && !usingGpsForHgt) { // using Baro data hgtMea = baroDataDelayed.hgt - baroHgtOffset; // enable fusion fuseHgtData = true; // set the observation noise posDownObsNoise = sq(constrain_float(frontend->_baroAltNoise, 0.1f, 10.0f)); // reduce weighting (increase observation noise) on baro if we are likely to be in ground effect if (getTakeoffExpected() || getTouchdownExpected()) { posDownObsNoise *= frontend->gndEffectBaroScaler; } } else { fuseHgtData = false; } // If we haven't fused height data for a while, then declare the height data as being timed out // set timeout period based on whether we have vertical GPS velocity available to constrain drift hgtRetryTime_ms = (useGpsVertVel && !velTimeout) ? frontend->hgtRetryTimeMode0_ms : frontend->hgtRetryTimeMode12_ms; if (imuSampleTime_ms - lastHgtPassTime_ms > hgtRetryTime_ms) { hgtTimeout = true; } else { hgtTimeout = false; } } #endif // HAL_CPU_CLASS