Package edu.wpi.first.math.controller

Class ControlAffinePlantInversionFeedforward<States extends Num,Inputs extends Num>

java.lang.Object

edu.wpi.first.math.controller.ControlAffinePlantInversionFeedforward<States,Inputs>

public class ControlAffinePlantInversionFeedforward<States extends Num,Inputs extends Num>
extends Object

Constructs a control-affine plant inversion model-based feedforward from given model dynamics.

If given the vector valued function as f(x, u) where x is the state vector and u is the input vector, the B matrix(continuous input matrix) is calculated through a NumericalJacobian. In this case f has to be control-affine (of the form f(x) + Bu).

The feedforward is calculated as u_ff = B⁺ (rDot - f(x)), where B⁺ is the pseudoinverse of B.

This feedforward does not account for a dynamic B matrix, B is either determined or supplied when the feedforward is created and remains constant.

For more on the underlying math, read https://file.tavsys.net/control/controls-engineering-in-frc.pdf.

Constructor Summary

Constructors

Constructor	Description
ControlAffinePlantInversionFeedforward(Nat<States> states, Nat<Inputs> inputs, BiFunction<Matrix<States,N1>,Matrix<Inputs,N1>,Matrix<States,N1>> f, double dtSeconds)	Constructs a feedforward with given model dynamics as a function of state and input.
ControlAffinePlantInversionFeedforward(Nat<States> states, Nat<Inputs> inputs, Function<Matrix<States,N1>,Matrix<States,N1>> f, Matrix<States,Inputs> B, double dtSeconds)	Constructs a feedforward with given model dynamics as a function of state, and the plant's B(continuous input matrix) matrix.

Method Summary

Modifier and Type	Method	Description
Matrix<Inputs,N1>	calculate(Matrix<States,N1> nextR)	Calculate the feedforward with only the desired future reference.
Matrix<Inputs,N1>	calculate(Matrix<States,N1> r, Matrix<States,N1> nextR)	Calculate the feedforward with current and future reference vectors.
Matrix<States,N1>	getR()	Returns the current reference vector r.
double	getR(int row)	Returns an element of the current reference vector r.
Matrix<Inputs,N1>	getUff()	Returns the previously calculated feedforward as an input vector.
double	getUff(int row)	Returns an element of the previously calculated feedforward.
void	reset()	Resets the feedforward with a zero initial state vector.
void	reset(Matrix<States,N1> initialState)	Resets the feedforward with a specified initial state vector.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

ControlAffinePlantInversionFeedforward

public ControlAffinePlantInversionFeedforward(Nat<States> states, Nat<Inputs> inputs, BiFunction<Matrix<States,N1>,Matrix<Inputs,N1>,Matrix<States,N1>> f, double dtSeconds)

Constructs a feedforward with given model dynamics as a function of state and input.

Parameters:

states - A Nat representing the number of states.

inputs - A Nat representing the number of inputs.

f - A vector-valued function of x, the state, and u, the input, that returns the derivative of the state vector. HAS to be control-affine (of the form f(x) + Bu).

dtSeconds - The timestep between calls of calculate().

ControlAffinePlantInversionFeedforward

public ControlAffinePlantInversionFeedforward(Nat<States> states, Nat<Inputs> inputs, Function<Matrix<States,N1>,Matrix<States,N1>> f, Matrix<States,Inputs> B, double dtSeconds)

Constructs a feedforward with given model dynamics as a function of state, and the plant's B(continuous input matrix) matrix.

Parameters:

states - A Nat representing the number of states.

inputs - A Nat representing the number of inputs.

f - A vector-valued function of x, the state, that returns the derivative of the state vector.

B - Continuous input matrix of the plant being controlled.

dtSeconds - The timestep between calls of calculate().

Method Details

getUff

public Matrix<Inputs,N1> getUff()

Returns the previously calculated feedforward as an input vector.

Returns:

The calculated feedforward.

getUff

public double getUff(int row)

Returns an element of the previously calculated feedforward.

Parameters:

row - Row of uff.

Returns:

The row of the calculated feedforward.

getR

public Matrix<States,N1> getR()

Returns the current reference vector r.

Returns:

The current reference vector.

getR

public double getR(int row)

Returns an element of the current reference vector r.

Parameters:

row - Row of r.

Returns:

The row of the current reference vector.

reset

public void reset(Matrix<States,N1> initialState)

Resets the feedforward with a specified initial state vector.

Parameters:

initialState - The initial state vector.

reset

public void reset()

Resets the feedforward with a zero initial state vector.

calculate

public Matrix<Inputs,N1> calculate(Matrix<States,N1> nextR)

Calculate the feedforward with only the desired future reference. This uses the internally stored "current" reference.

If this method is used the initial state of the system is the one set using LinearPlantInversionFeedforward.reset(Matrix). If the initial state is not set it defaults to a zero vector.

Parameters:

nextR - The reference state of the future timestep (k + dt).

Returns:

The calculated feedforward.

calculate

public Matrix<Inputs,N1> calculate(Matrix<States,N1> r, Matrix<States,N1> nextR)

Calculate the feedforward with current and future reference vectors.

Parameters:

r - The reference state of the current timestep (k).

nextR - The reference state of the future timestep (k + dt).

Returns:

The calculated feedforward.