test_controllability.cpp

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 *  Copyright (c) 2020,
 *  TU Dortmund - Institute of Control Theory and Systems Engineering.
 *  All rights reserved.
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 *  This program is free software: you can redistribute it and/or modify
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 *  GNU General Public License for more details.
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 *  Authors: Christoph Rösmann
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#include <corbo-numerics/controllability.h>

#include <corbo-core/macros.h>

#include "gtest/gtest.h"

using corbo::Controllability;

class TestControllability : public testing::Test
{
 protected:
    // You can do set-up work for each test here.
    TestControllability() {}
    // You can do clean-up work that doesn't throw exceptions here.
    virtual ~TestControllability() {}
    // If the constructor and destructor are not enough for setting up
    // and cleaning up each test, you can define the following methods:

    // Code here will be called immediately after the constructor (right
    // before each test).
    // virtual void SetUp() {}
    // Code here will be called immediately after each test (right
    // before the destructor).
    // virtual void TearDown();
};

TEST_F(TestControllability, controllable_lti_system)
{
    Eigen::Matrix2d A;
    A << 0, 1, 0, 0;

    Eigen::Vector2d B;
    B << 0, 1;

    EXPECT_TRUE(Controllability::checkLinearTimeInvariantSystem(A, B));
}

TEST_F(TestControllability, uncontrollable_lti_system)
{
    Eigen::Matrix4d A;
    A.setZero();
    A(0, 1) = 1;
    A(2, 3) = 1;

    Eigen::Vector4d B;
    B << 0, 1, 0, -1;

    int ctrl_rank = 1000;
    EXPECT_FALSE(Controllability::checkLinearTimeInvariantSystem(A, B, &ctrl_rank));
    EXPECT_EQ(ctrl_rank, 2);
}

TEST_F(TestControllability, uncontrollable_lti_system2)
{
    Eigen::Matrix2d A;
    A << 1, 1, 4, -2;

    Eigen::Matrix2d B;
    B << 1, -1, 1, -1;

    EXPECT_FALSE(Controllability::checkLinearTimeInvariantSystem(A, B));
}