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[wpimath] Add ImplicitModelFollower (#4056)
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// Copyright (c) FIRST and other WPILib contributors.
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// Open Source Software; you can modify and/or share it under the terms of
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// the WPILib BSD license file in the root directory of this project.
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#include <gtest/gtest.h>
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#include "frc/controller/ImplicitModelFollower.h"
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#include "frc/system/plant/LinearSystemId.h"
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namespace frc {
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TEST(ImplicitModelFollowerTest, SameModel) {
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constexpr auto dt = 5_ms;
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using Kv_t = decltype(1_V / 1_mps);
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using Ka_t = decltype(1_V / 1_mps_sq);
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auto plant = LinearSystemId::IdentifyDrivetrainSystem(Kv_t{1.0}, Ka_t{1.0},
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Kv_t{1.0}, Ka_t{1.0});
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ImplicitModelFollower<2, 2> imf{plant, plant, dt};
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Eigen::Vector<double, 2> x{0.0, 0.0};
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Eigen::Vector<double, 2> xImf{0.0, 0.0};
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// Forward
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Eigen::Vector<double, 2> u{12.0, 12.0};
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for (auto t = 0_s; t < 3_s; t += dt) {
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x = plant.CalculateX(x, u, dt);
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xImf = plant.CalculateX(xImf, imf.Calculate(xImf, u), dt);
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EXPECT_DOUBLE_EQ(x(0), xImf(0));
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EXPECT_DOUBLE_EQ(x(1), xImf(1));
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}
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// Backward
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u = Eigen::Vector<double, 2>{-12.0, -12.0};
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for (auto t = 0_s; t < 3_s; t += dt) {
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x = plant.CalculateX(x, u, dt);
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xImf = plant.CalculateX(xImf, imf.Calculate(xImf, u), dt);
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EXPECT_DOUBLE_EQ(x(0), xImf(0));
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EXPECT_DOUBLE_EQ(x(1), xImf(1));
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}
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// Rotate CCW
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u = Eigen::Vector<double, 2>{-12.0, 12.0};
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for (auto t = 0_s; t < 3_s; t += dt) {
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x = plant.CalculateX(x, u, dt);
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xImf = plant.CalculateX(xImf, imf.Calculate(xImf, u), dt);
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EXPECT_DOUBLE_EQ(x(0), xImf(0));
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EXPECT_DOUBLE_EQ(x(1), xImf(1));
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}
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}
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TEST(ImplicitModelFollowerTest, SlowerRefModel) {
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constexpr auto dt = 5_ms;
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using Kv_t = decltype(1_V / 1_mps);
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using Ka_t = decltype(1_V / 1_mps_sq);
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auto plant = LinearSystemId::IdentifyDrivetrainSystem(Kv_t{1.0}, Ka_t{1.0},
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Kv_t{1.0}, Ka_t{1.0});
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// Linear acceleration is slower, but angular acceleration is the same
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auto plantRef = LinearSystemId::IdentifyDrivetrainSystem(
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Kv_t{1.0}, Ka_t{2.0}, Kv_t{1.0}, Ka_t{1.0});
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ImplicitModelFollower<2, 2> imf{plant, plantRef, dt};
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Eigen::Vector<double, 2> x{0.0, 0.0};
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Eigen::Vector<double, 2> xImf{0.0, 0.0};
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// Forward
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Eigen::Vector<double, 2> u{12.0, 12.0};
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for (auto t = 0_s; t < 3_s; t += dt) {
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x = plant.CalculateX(x, u, dt);
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xImf = plant.CalculateX(xImf, imf.Calculate(xImf, u), dt);
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EXPECT_GE(x(0), xImf(0));
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EXPECT_GE(x(1), xImf(1));
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}
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// Backward
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x.setZero();
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xImf.setZero();
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u = Eigen::Vector<double, 2>{-12.0, -12.0};
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for (auto t = 0_s; t < 3_s; t += dt) {
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x = plant.CalculateX(x, u, dt);
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xImf = plant.CalculateX(xImf, imf.Calculate(xImf, u), dt);
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EXPECT_LE(x(0), xImf(0));
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EXPECT_LE(x(1), xImf(1));
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}
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// Rotate CCW
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x.setZero();
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xImf.setZero();
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u = Eigen::Vector<double, 2>{-12.0, 12.0};
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for (auto t = 0_s; t < 3_s; t += dt) {
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x = plant.CalculateX(x, u, dt);
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xImf = plant.CalculateX(xImf, imf.Calculate(xImf, u), dt);
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EXPECT_NEAR(x(0), xImf(0), 1e-5);
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EXPECT_NEAR(x(1), xImf(1), 1e-5);
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}
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}
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} // namespace frc
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