LinearSystemLoop.hpp

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// Copyright (c) FIRST and other WPILib contributors.
// Open Source Software; you can modify and/or share it under the terms of
// the WPILib BSD license file in the root directory of this project.
 
#pragma once
 
#include <functional>
 
#include "wpi/math/controller/LinearPlantInversionFeedforward.hpp"
#include "wpi/math/controller/LinearQuadraticRegulator.hpp"
#include "wpi/math/estimator/KalmanFilter.hpp"
#include "wpi/math/linalg/EigenCore.hpp"
#include "wpi/math/system/LinearSystem.hpp"
#include "wpi/units/time.hpp"
#include "wpi/units/voltage.hpp"
#include "wpi/util/SymbolExports.hpp"
 
namespace wpi::math {
 
/**
 * Combines a controller, feedforward, and observer for controlling a mechanism
 * with full state feedback.
 *
 * For everything in this file, "inputs" and "outputs" are defined from the
 * perspective of the plant. This means U is an input and Y is an output
 * (because you give the plant U (powers) and it gives you back a Y (sensor
 * values). This is the opposite of what they mean from the perspective of the
 * controller (U is an output because that's what goes to the motors and Y is an
 * input because that's what comes back from the sensors).
 *
 * For more on the underlying math, read
 * https://file.tavsys.net/control/controls-engineering-in-frc.pdf.
 *
 * @tparam States Number of states.
 * @tparam Inputs Number of inputs.
 * @tparam Outputs Number of outputs.
 */
template <int States, int Inputs, int Outputs>
class LinearSystemLoop {
 public:
  using StateVector = Vectord<States>;
  using InputVector = Vectord<Inputs>;
  using OutputVector = Vectord<Outputs>;
 
  /**
   * Constructs a state-space loop with the given plant, controller, and
   * observer. By default, the initial reference is all zeros. Users should
   * call reset with the initial system state before enabling the loop. This
   * constructor assumes that the input(s) to this system are voltage.
   *
   * @param plant      State-space plant.
   * @param controller State-space controller.
   * @param observer   State-space observer.
   * @param maxVoltage The maximum voltage that can be applied. Commonly 12.
   * @param dt         The nominal timestep.
   */
  LinearSystemLoop(LinearSystem<States, Inputs, Outputs>& plant,
                   LinearQuadraticRegulator<States, Inputs>& controller,
                   KalmanFilter<States, Inputs, Outputs>& observer,
                   wpi::units::volt_t maxVoltage, wpi::units::second_t dt)
      : LinearSystemLoop(
            plant, controller, observer,
            [=](const InputVector& u) {
              return wpi::math::DesaturateInputVector<Inputs>(
                  u, maxVoltage.value());
            },
            dt) {}
 
  /**
   * Constructs a state-space loop with the given plant, controller, and
   * observer. By default, the initial reference is all zeros. Users should
   * call reset with the initial system state before enabling the loop. This
   * constructor assumes that the input(s) to this system are voltage.
   *
   * @param plant      State-space plant.
   * @param controller State-space controller.
   * @param observer   State-space observer.
   * @param clampFunction The function used to clamp the input vector.
   * @param dt         The nominal timestep.
   */
  LinearSystemLoop(LinearSystem<States, Inputs, Outputs>& plant,
                   LinearQuadraticRegulator<States, Inputs>& controller,
                   KalmanFilter<States, Inputs, Outputs>& observer,
                   std::function<InputVector(const InputVector&)> clampFunction,
                   wpi::units::second_t dt)
      : LinearSystemLoop(
            controller,
            LinearPlantInversionFeedforward<States, Inputs>{plant, dt},
            observer, clampFunction) {}
 
  /**
   * Constructs a state-space loop with the given controller, feedforward and
   * observer. By default, the initial reference is all zeros. Users should
   * call reset with the initial system state.
   *
   * @param controller  State-space controller.
   * @param feedforward Plant inversion feedforward.
   * @param observer    State-space observer.
   * @param maxVoltage  The maximum voltage that can be applied. Assumes
   * that the inputs are voltages.
   */
  LinearSystemLoop(
      LinearQuadraticRegulator<States, Inputs>& controller,
      const LinearPlantInversionFeedforward<States, Inputs>& feedforward,
      KalmanFilter<States, Inputs, Outputs>& observer,
      wpi::units::volt_t maxVoltage)
      : LinearSystemLoop(controller, feedforward, observer,
                         [=](const InputVector& u) {
                           return wpi::math::DesaturateInputVector<Inputs>(
                               u, maxVoltage.value());
                         }) {}
 
  /**
   * Constructs a state-space loop with the given controller, feedforward,
   * observer and clamp function. By default, the initial reference is all
   * zeros. Users should call reset with the initial system state.
   *
   * @param controller    State-space controller.
   * @param feedforward   Plant-inversion feedforward.
   * @param observer      State-space observer.
   * @param clampFunction The function used to clamp the input vector.
   */
  LinearSystemLoop(
      LinearQuadraticRegulator<States, Inputs>& controller,
      const LinearPlantInversionFeedforward<States, Inputs>& feedforward,
      KalmanFilter<States, Inputs, Outputs>& observer,
      std::function<InputVector(const InputVector&)> clampFunction)
      : m_controller(&controller),
        m_feedforward(feedforward),
        m_observer(&observer),
        m_clampFunc(clampFunction) {
    m_nextR.setZero();
    Reset(m_nextR);
    wpi::math::MathSharedStore::ReportUsage("LinearSystemLoop", "");
  }
 
  LinearSystemLoop(LinearSystemLoop&&) = default;
  LinearSystemLoop& operator=(LinearSystemLoop&&) = default;
 
  /**
   * Returns the observer's state estimate x-hat.
   */
  const StateVector& Xhat() const { return m_observer->Xhat(); }
 
  /**
   * Returns an element of the observer's state estimate x-hat.
   *
   * @param i Row of x-hat.
   */
  double Xhat(int i) const { return m_observer->Xhat(i); }
 
  /**
   * Returns the controller's next reference r.
   */
  const StateVector& NextR() const { return m_nextR; }
 
  /**
   * Returns an element of the controller's next reference r.
   *
   * @param i Row of r.
   */
  double NextR(int i) const { return NextR()(i); }
 
  /**
   * Returns the controller's calculated control input u.
   */
  InputVector U() const {
    return ClampInput(m_controller->U() + m_feedforward.Uff());
  }
 
  /**
   * Returns an element of the controller's calculated control input u.
   *
   * @param i Row of u.
   */
  double U(int i) const { return U()(i); }
 
  /**
   * Set the initial state estimate x-hat.
   *
   * @param xHat The initial state estimate x-hat.
   */
  void SetXhat(const StateVector& xHat) { m_observer->SetXhat(xHat); }
 
  /**
   * Set an element of the initial state estimate x-hat.
   *
   * @param i     Row of x-hat.
   * @param value Value for element of x-hat.
   */
  void SetXhat(int i, double value) { m_observer->SetXhat(i, value); }
 
  /**
   * Set the next reference r.
   *
   * @param nextR Next reference.
   */
  void SetNextR(const StateVector& nextR) { m_nextR = nextR; }
 
  /**
   * Return the controller used internally.
   */
  const LinearQuadraticRegulator<States, Inputs>& Controller() const {
    return *m_controller;
  }
 
  /**
   * Return the feedforward used internally.
   *
   * @return the feedforward used internally.
   */
  const LinearPlantInversionFeedforward<States, Inputs> Feedforward() const {
    return m_feedforward;
  }
 
  /**
   * Return the observer used internally.
   */
  const KalmanFilter<States, Inputs, Outputs>& Observer() const {
    return *m_observer;
  }
 
  /**
   * Zeroes reference r and controller output u. The previous reference
   * of the PlantInversionFeedforward and the initial state estimate of
   * the KalmanFilter are set to the initial state provided.
   *
   * @param initialState The initial state.
   */
  void Reset(const StateVector& initialState) {
    m_nextR.setZero();
    m_controller->Reset();
    m_feedforward.Reset(initialState);
    m_observer->SetXhat(initialState);
  }
 
  /**
   * Returns difference between reference r and current state x-hat.
   */
  StateVector Error() const { return m_controller->R() - m_observer->Xhat(); }
 
  /**
   * Correct the state estimate x-hat using the measurements in y.
   *
   * @param y Measurement vector.
   */
  void Correct(const OutputVector& y) { m_observer->Correct(U(), y); }
 
  /**
   * Sets new controller output, projects model forward, and runs observer
   * prediction.
   *
   * After calling this, the user should send the elements of u to the
   * actuators.
   *
   * @param dt Timestep for model update.
   */
  void Predict(wpi::units::second_t dt) {
    InputVector u =
        ClampInput(m_controller->Calculate(m_observer->Xhat(), m_nextR) +
                   m_feedforward.Calculate(m_nextR));
    m_observer->Predict(u, dt);
  }
 
  /**
   * Clamps input vector between system's minimum and maximum allowable input.
   *
   * @param u Input vector to clamp.
   * @return Clamped input vector.
   */
  InputVector ClampInput(const InputVector& u) const { return m_clampFunc(u); }
 
 protected:
  LinearQuadraticRegulator<States, Inputs>* m_controller;
  LinearPlantInversionFeedforward<States, Inputs> m_feedforward;
  KalmanFilter<States, Inputs, Outputs>* m_observer;
 
  /**
   * Clamping function.
   */
  std::function<InputVector(const InputVector&)> m_clampFunc;
 
  // Reference to go to in the next cycle (used by feedforward controller).
  StateVector m_nextR;
 
  // These are accessible from non-templated subclasses.
  static constexpr int kStates = States;
  static constexpr int kInputs = Inputs;
  static constexpr int kOutputs = Outputs;
};
 
extern template class EXPORT_TEMPLATE_DECLARE(WPILIB_DLLEXPORT)
    LinearSystemLoop<1, 1, 1>;
extern template class EXPORT_TEMPLATE_DECLARE(WPILIB_DLLEXPORT)
    LinearSystemLoop<2, 1, 1>;
 
}  // namespace wpi::math