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[wpimath] LinearSystemId: Add DCMotorSystem overload (#5770)
The goal of this addition is to allow LinearSystemId.createDCMotorSystem to use kV and KA instead of the moment of inertia, DCMotor object, and gearing.
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@@ -218,6 +218,48 @@ class WPILIB_DLLEXPORT LinearSystemId {
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static LinearSystem<2, 1, 2> DCMotorSystem(DCMotor motor,
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units::kilogram_square_meter_t J,
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double G);
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/**
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* Create a state-space model of a DC motor system from its kV
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* (volts/(unit/sec)) and kA (volts/(unit/sec²)). These constants can be
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* found using SysId. the states of the system are [position, velocity],
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* inputs are [voltage], and outputs are [position].
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*
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* You MUST use an SI unit (i.e. meters or radians) for the Distance template
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* argument. You may still use non-SI units (such as feet or inches) for the
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* actual method arguments; they will automatically be converted to SI
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* internally.
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*
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* The parameters provided by the user are from this feedforward model:
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*
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* u = K_v v + K_a a
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*
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* @param kV The velocity gain, in volts/(unit/sec).
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* @param kA The acceleration gain, in volts/(unit/sec²).
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*
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* @throws std::domain_error if kV <= 0 or kA <= 0.
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*/
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template <typename Distance>
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requires std::same_as<units::meter, Distance> ||
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std::same_as<units::radian, Distance>
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static LinearSystem<2, 1, 2> DCMotorSystem(
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decltype(1_V / Velocity_t<Distance>(1)) kV,
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decltype(1_V / Acceleration_t<Distance>(1)) kA) {
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if (kV <= decltype(kV){0}) {
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throw std::domain_error("Kv must be greater than zero.");
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}
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if (kA <= decltype(kA){0}) {
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throw std::domain_error("Ka must be greater than zero.");
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}
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Matrixd<2, 2> A{{0.0, 1.0}, {0.0, -kV.value() / kA.value()}};
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Matrixd<2, 1> B{0.0, 1.0 / kA.value()};
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Matrixd<2, 2> C{{1.0, 0.0}, {0.0, 1.0}};
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Matrixd<2, 1> D{{0.0}, {0.0}};
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return LinearSystem<2, 1, 2>(A, B, C, D);
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}
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/**
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* Create a state-space model of differential drive drivetrain. In this model,
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* the states are [left velocity, right velocity], the inputs are [left
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