/**************************************************************************** * * Copyright (c) 2015-2021 PX4 Development Team. All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in * the documentation and/or other materials provided with the * distribution. * 3. Neither the name PX4 nor the names of its contributors may be * used to endorse or promote products derived from this software * without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * ****************************************************************************/ /** * @file Integrator.hpp * * A resettable integrator * * @author Lorenz Meier * @author Julian Oes */ #pragma once #include #include class Integrator { public: Integrator() = default; ~Integrator() = default; static constexpr float DT_MIN{FLT_MIN}; static constexpr float DT_MAX{static_cast(UINT16_MAX) * 1e-6f}; /** * Put an item into the integral. * * @param timestamp Timestamp of the current value. * @param val Item to put. * @return true if data was accepted and integrated. */ inline void put(const matrix::Vector3f &val, const float dt) { if ((dt > DT_MIN) && (_integral_dt + dt < DT_MAX)) { _alpha += integrate(val, dt); } else { reset(); _last_val = val; } } /** * Set reset interval during runtime. This won't reset the integrator. * * @param reset_interval New reset time interval for the integrator in microseconds. */ void set_reset_interval(uint32_t reset_interval_us) { _reset_interval_min = reset_interval_us * 1e-6f; } /** * Set required samples for reset. This won't reset the integrator. * * @param reset_samples New reset time interval for the integrator. */ void set_reset_samples(uint8_t reset_samples) { _reset_samples_min = reset_samples; } uint8_t get_reset_samples() const { return _reset_samples_min; } /** * Is the Integrator ready to reset? * * @return true if integrator has sufficient data (minimum interval & samples satisfied) to reset. */ inline bool integral_ready() const { return (_integrated_samples >= _reset_samples_min) || (_integral_dt >= _reset_interval_min); } void reset() { _alpha.zero(); _integral_dt = 0; _integrated_samples = 0; } /* Reset integrator and return current integral & integration time * * @param integral_dt Get the dt in us of the current integration. * @return true if integral valid */ bool reset(matrix::Vector3f &integral, uint16_t &integral_dt) { if (integral_ready()) { integral = _alpha; integral_dt = roundf(_integral_dt * 1e6f); // seconds to microseconds reset(); return true; } return false; } protected: inline matrix::Vector3f integrate(const matrix::Vector3f &val, const float dt) { // Use trapezoidal integration to calculate the delta integral _integrated_samples++; _integral_dt += dt; const matrix::Vector3f delta_alpha{(val + _last_val) *dt * 0.5f}; _last_val = val; return delta_alpha; } matrix::Vector3f _alpha{0.f, 0.f, 0.f}; /**< integrated value before coning corrections are applied */ matrix::Vector3f _last_val{0.f, 0.f, 0.f}; /**< previous input */ float _integral_dt{0}; float _reset_interval_min{0.005f}; /**< the interval after which the content will be published and the integrator reset */ uint8_t _reset_samples_min{1}; uint8_t _integrated_samples{0}; }; class IntegratorConing : public Integrator { public: IntegratorConing() = default; ~IntegratorConing() = default; /** * Put an item into the integral. * * @param timestamp Timestamp of the current value. * @param val Item to put. * @return true if data was accepted and integrated. */ inline void put(const matrix::Vector3f &val, const float dt) { if ((dt > DT_MIN) && (_integral_dt + dt < DT_MAX)) { // Use trapezoidal integration to calculate the delta integral const matrix::Vector3f delta_alpha{integrate(val, dt)}; // Calculate coning corrections // Coning compensation derived by Paul Riseborough and Jonathan Challinger, // following: // Strapdown Inertial Navigation Integration Algorithm Design Part 1: Attitude Algorithms // Sourced: https://arc.aiaa.org/doi/pdf/10.2514/2.4228 // Simulated: https://github.com/priseborough/InertialNav/blob/master/models/imu_error_modelling.m _beta += ((_last_alpha + _last_delta_alpha * (1.f / 6.f)) % delta_alpha) * 0.5f; _last_delta_alpha = delta_alpha; _last_alpha = _alpha; // accumulate delta integrals _alpha += delta_alpha; } else { reset(); _last_val = val; } } void reset() { Integrator::reset(); _beta.zero(); _last_alpha.zero(); } /* Reset integrator and return current integral & integration time * * @param integral_dt Get the dt in us of the current integration. * @return true if integral valid */ bool reset(matrix::Vector3f &integral, uint16_t &integral_dt) { if (Integrator::reset(integral, integral_dt)) { // apply coning corrections integral += _beta; _beta.zero(); _last_alpha.zero(); return true; } return false; } private: matrix::Vector3f _beta{0.f, 0.f, 0.f}; /**< accumulated coning corrections */ matrix::Vector3f _last_delta_alpha{0.f, 0.f, 0.f}; /**< integral from previous previous sampling interval */ matrix::Vector3f _last_alpha{0.f, 0.f, 0.f}; /**< previous value of _alpha */ };