Standard RK4 integrator. More...

#include <rk4.hpp>

Inheritance diagram for IntegratedActionModelRK4Tpl< _Scalar >:

Public Types
typedef ActionDataAbstractTpl< Scalar >	ActionDataAbstract

typedef IntegratedActionModelAbstractTpl< Scalar >	Base

typedef ControlParametrizationModelAbstractTpl< Scalar >	ControlParametrizationModelAbstract

typedef IntegratedActionDataRK4Tpl< Scalar >	Data

typedef DifferentialActionModelAbstractTpl< Scalar >	DifferentialActionModelAbstract

typedef MathBaseTpl< Scalar >	MathBase

typedef MathBase::MatrixXs	MatrixXs

typedef MathBase::VectorXs	VectorXs

Public Types inherited from IntegratedActionModelAbstractTpl< _Scalar >
typedef ActionDataAbstractTpl< Scalar >	ActionDataAbstract

typedef ActionModelAbstractTpl< Scalar >	Base

typedef ControlParametrizationModelAbstractTpl< Scalar >	ControlParametrizationModelAbstract

typedef IntegratedActionDataAbstractTpl< Scalar >	Data

typedef DifferentialActionModelAbstractTpl< Scalar >	DifferentialActionModelAbstract

typedef MathBaseTpl< Scalar >	MathBase

typedef MathBase::MatrixXs	MatrixXs

typedef MathBase::VectorXs	VectorXs

Public Types inherited from ActionModelAbstractTpl< _Scalar >
typedef ActionDataAbstractTpl< Scalar >	ActionDataAbstract

typedef MathBaseTpl< Scalar >	MathBase

typedef StateAbstractTpl< Scalar >	StateAbstract

typedef MathBase::VectorXs	VectorXs

Public Member Functions
	IntegratedActionModelRK4Tpl (boost::shared_ptr< DifferentialActionModelAbstract > model, const Scalar time_step=Scalar(1e-3), const bool with_cost_residual=true)

virtual void	calc (const boost::shared_ptr< ActionDataAbstract > &data, const Eigen::Ref< const VectorXs > &x)
	Integrate the total cost value for nodes that depends only on the state using RK4 scheme. More...

virtual void	calc (const boost::shared_ptr< ActionDataAbstract > &data, const Eigen::Ref< const VectorXs > &x, const Eigen::Ref< const VectorXs > &u)
	Integrate the differential action model using RK4 scheme. More...

virtual void	calcDiff (const boost::shared_ptr< ActionDataAbstract > &data, const Eigen::Ref< const VectorXs > &x)
	Compute the partial derivatives of the cost. More...

virtual void	calcDiff (const boost::shared_ptr< ActionDataAbstract > &data, const Eigen::Ref< const VectorXs > &x, const Eigen::Ref< const VectorXs > &u)
	Compute the partial derivatives of the RK4 integrator. More...

virtual bool	checkData (const boost::shared_ptr< ActionDataAbstract > &data)
	Checks that a specific data belongs to this model.

virtual boost::shared_ptr< ActionDataAbstract >	createData ()
	Create the RK4 integrator data. More...

	DEPRECATED ("Use IntegratedActionModelRK", IntegratedActionModelRK4Tpl(boost::shared_ptr< DifferentialActionModelAbstract > model, boost::shared_ptr< ControlParametrizationModelAbstract > control, const Scalar time_step=Scalar(1e-3), const bool with_cost_residual=true);) DEPRECATED("Use IntegratedActionModelRK"
	Initialize the RK4 integrator. More...

virtual void	print (std::ostream &os) const
	Print relevant information of the RK4 integrator model. More...

virtual void	quasiStatic (const boost::shared_ptr< ActionDataAbstract > &data, Eigen::Ref< VectorXs > u, const Eigen::Ref< const VectorXs > &x, const std::size_t maxiter=100, const Scalar tol=Scalar(1e-9))
	Computes the quasic static commands. More...

Public Member Functions inherited from IntegratedActionModelAbstractTpl< _Scalar >
	IntegratedActionModelAbstractTpl (boost::shared_ptr< DifferentialActionModelAbstract > model, boost::shared_ptr< ControlParametrizationModelAbstract > control, const Scalar time_step=Scalar(1e-3), const bool with_cost_residual=true)
	Initialize the integrator. More...

	IntegratedActionModelAbstractTpl (boost::shared_ptr< DifferentialActionModelAbstract > model, const Scalar time_step=Scalar(1e-3), const bool with_cost_residual=true)
	Initialize the integrator. More...

	DEPRECATED ("The DifferentialActionModel should be set at construction time", void set_differential(boost::shared_ptr< DifferentialActionModelAbstract > model))

const boost::shared_ptr< ControlParametrizationModelAbstract > &	get_control () const
	Return the control parametrization model associated to this integrated action model.

const boost::shared_ptr< DifferentialActionModelAbstract > &	get_differential () const
	Return the differential action model associated to this integrated action model.

const Scalar	get_dt () const
	Return the time step used for the integration.

virtual const VectorXs &	get_g_lb () const
	Return the lower bound of the inequality constraints.

virtual const VectorXs &	get_g_ub () const
	Return the upper bound of the inequality constraints.

virtual std::size_t	get_ng () const
	Return the number of inequality constraints.

virtual std::size_t	get_nh () const
	Return the number of equality constraints.

void	set_dt (const Scalar dt)
	Set the time step for the integration.

Public Member Functions inherited from ActionModelAbstractTpl< _Scalar >
	ActionModelAbstractTpl (boost::shared_ptr< StateAbstract > state, const std::size_t nu, const std::size_t nr=0, const std::size_t ng=0, const std::size_t nh=0)
	Initialize the action model. More...

bool	get_has_control_limits () const
	Indicates if there are defined control limits.

std::size_t	get_nr () const
	Return the dimension of the cost-residual vector.

std::size_t	get_nu () const
	Return the dimension of the control input.

const boost::shared_ptr< StateAbstract > &	get_state () const
	Return the state.

const VectorXs &	get_u_lb () const
	Return the control lower bound.

const VectorXs &	get_u_ub () const
	Return the control upper bound.

VectorXs	quasiStatic_x (const boost::shared_ptr< ActionDataAbstract > &data, const VectorXs &x, const std::size_t maxiter=100, const Scalar tol=Scalar(1e-9))

void	set_g_lb (const VectorXs &g_lb)
	Modify the lower bound of the inequality constraints.

void	set_g_ub (const VectorXs &g_ub)
	Modify the upper bound of the inequality constraints.

void	set_u_lb (const VectorXs &u_lb)
	Modify the control lower bounds.

void	set_u_ub (const VectorXs &u_ub)
	Modify the control upper bounds.

Public Attributes
EIGEN_MAKE_ALIGNED_OPERATOR_NEW typedef _Scalar	Scalar

Public Attributes inherited from IntegratedActionModelAbstractTpl< _Scalar >
EIGEN_MAKE_ALIGNED_OPERATOR_NEW typedef _Scalar	Scalar

Public Attributes inherited from ActionModelAbstractTpl< _Scalar >
EIGEN_MAKE_ALIGNED_OPERATOR_NEW typedef _Scalar	Scalar

Protected Attributes
std::size_t	ng_
	< Differential action model

std::size_t	nh_
	< Number of inequality constraints

std::size_t	nu_
	< Number of equality constraints

boost::shared_ptr< StateAbstract >	state_
	< Dimension of the control

Protected Attributes inherited from IntegratedActionModelAbstractTpl< _Scalar >
boost::shared_ptr< ControlParametrizationModelAbstract >	control_
	Model of the control parametrization.

boost::shared_ptr< DifferentialActionModelAbstract >	differential_
	Differential action model that is integrated.

bool	has_control_limits_

std::size_t	nr_

std::size_t	nu_
	< Dimension of the cost residual

boost::shared_ptr< StateAbstract >	state_
	< Dimension of the control

Scalar	time_step2_
	Square of the time step used for integration.

Scalar	time_step_
	Time step used for integration.

VectorXs	u_lb_
	< Model of the state

VectorXs	u_ub_
	< Lower control limits

bool	with_cost_residual_
	Flag indicating whether a cost residual is used.

Protected Attributes inherited from ActionModelAbstractTpl< _Scalar >
VectorXs	g_lb_
	Lower bound of the inequality constraints.

VectorXs	g_ub_
	Lower bound of the inequality constraints.

bool	has_control_limits_

std::size_t	ng_
	Number of inequality constraints.

std::size_t	nh_
	Number of equality constraints.

std::size_t	nr_
	Dimension of the cost residual.

std::size_t	nu_
	Control dimension.

boost::shared_ptr< StateAbstract >	state_
	Model of the state.

VectorXs	u_lb_
	Lower control limits.

VectorXs	u_ub_
	Upper control limits.

VectorXs	unone_
	Neutral state.

Additional Inherited Members
Protected Member Functions inherited from IntegratedActionModelAbstractTpl< _Scalar >
void	init ()
	< Upper control limits

Protected Member Functions inherited from ActionModelAbstractTpl< _Scalar >
void	update_has_control_limits ()
	Update the status of the control limits (i.e. if there are defined limits)

Detailed Description

template<typename _Scalar>
class crocoddyl::IntegratedActionModelRK4Tpl< _Scalar >

Standard RK4 integrator.

It applies a standard RK4 integration scheme to a differential (i.e., continuous time) action model.

This standard RK4 scheme introduces also the possibility to parametrize the control trajectory inside an integration step, for instance using polynomials. This requires introducing some notation to clarify the difference between the control inputs of the differential model and the control inputs to the integrated model. We have decided to use \(\mathbf{w}\) to refer to the control inputs of the differential model and \(\mathbf{u}\) for the control inputs of the integrated action model.

See also: IntegratedActionModelAbstractTpl, calc(), calcDiff(), createData()

Definition at line 37 of file rk4.hpp.

Member Function Documentation

◆ DEPRECATED()

DEPRECATED	(	"Use IntegratedActionModelRK"	,
		IntegratedActionModelRK4Tpl< _Scalar >(boost::shared_ptr< DifferentialActionModelAbstract > model, boost::shared_ptr< ControlParametrizationModelAbstract > control, const Scalar time_step=Scalar(1e-3), const bool with_cost_residual=true);
	)

Initialize the RK4 integrator.

Parameters

[in]	model	Differential action model
[in]	control	Control parametrization
[in]	time_step	Step time (default 1e-3)
[in]	with_cost_residual	Compute cost residual (default true)

Initialize the RK4 integrator

This initialization uses ControlParametrizationPolyZeroTpl for the control parametrization.

Parameters

[in]	model	Differential action model
[in]	time_step	Step time (default 1e-3)
[in]	with_cost_residual	Compute cost residual (default true)

◆ calc() [1/2]

virtual void calc	(	const boost::shared_ptr< ActionDataAbstract > &	data,
		const Eigen::Ref< const VectorXs > &	x,
		const Eigen::Ref< const VectorXs > &	u
	)

virtual

Integrate the differential action model using RK4 scheme.

Parameters

[in]	data	RK4 integrator data
[in]	x	State point \(\mathbf{x}\in\mathbb{R}^{ndx}\)
[in]	u	Control input \(\mathbf{u}\in\mathbb{R}^{nu}\)

Implements ActionModelAbstractTpl< _Scalar >.

◆ calc() [2/2]

virtual void calc	(	const boost::shared_ptr< ActionDataAbstract > &	data,
		const Eigen::Ref< const VectorXs > &	x
	)

virtual

Integrate the total cost value for nodes that depends only on the state using RK4 scheme.

It computes the total cost and defines the next state as the current one. This function is used in the terminal nodes of an optimal control problem.

Parameters

[in]	data	RK4 integrator data
[in]	x	State point \(\mathbf{x}\in\mathbb{R}^{ndx}\)

Reimplemented from ActionModelAbstractTpl< _Scalar >.

◆ calcDiff() [1/2]

virtual void calcDiff	(	const boost::shared_ptr< ActionDataAbstract > &	data,
		const Eigen::Ref< const VectorXs > &	x,
		const Eigen::Ref< const VectorXs > &	u
	)

virtual

Compute the partial derivatives of the RK4 integrator.

Parameters

[in]	data	RK4 integrator data
[in]	x	State point \(\mathbf{x}\in\mathbb{R}^{ndx}\)
[in]	u	Control input \(\mathbf{u}\in\mathbb{R}^{nu}\)

Implements ActionModelAbstractTpl< _Scalar >.

◆ calcDiff() [2/2]

virtual void calcDiff	(	const boost::shared_ptr< ActionDataAbstract > &	data,
		const Eigen::Ref< const VectorXs > &	x
	)

virtual

Compute the partial derivatives of the cost.

It updates the derivatives of the cost function with respect to the state only. This function is used in the terminal nodes of an optimal control problem.

Parameters

[in]	data	RK4 integrator data
[in]	x	State point \(\mathbf{x}\in\mathbb{R}^{ndx}\)

Reimplemented from ActionModelAbstractTpl< _Scalar >.

◆ createData()

virtual boost::shared_ptr<ActionDataAbstract> createData ( )

virtual

Create the RK4 integrator data.

Returns: the RK4 integrator data

Reimplemented from IntegratedActionModelAbstractTpl< _Scalar >.

◆ quasiStatic()

virtual void quasiStatic	(	const boost::shared_ptr< ActionDataAbstract > &	data,
		Eigen::Ref< VectorXs >	u,
		const Eigen::Ref< const VectorXs > &	x,
		const std::size_t	maxiter = `100`,
		const Scalar	tol = `Scalar(1e-9)`
	)

virtual

Computes the quasic static commands.

The quasic static commands are the ones produced for a the reference posture as an equilibrium point, i.e. for \(\mathbf{f^q_x}\delta\mathbf{q}+\mathbf{f_u}\delta\mathbf{u}=\mathbf{0}\)

Parameters

[in]	data	RK4 integrator data
[out]	u	Quasic static commands
[in]	x	State point (velocity has to be zero)
[in]	maxiter	Maximum allowed number of iterations
[in]	tol	Tolerance

Reimplemented from ActionModelAbstractTpl< _Scalar >.

◆ print()

virtual void print ( std::ostream & os ) const

virtual

Print relevant information of the RK4 integrator model.

Parameters

[out] os Output stream object

Reimplemented from ActionModelAbstractTpl< _Scalar >.

The documentation for this class was generated from the following files:

/root/robotpkg/optimization/py-crocoddyl/work/crocoddyl-2.1.0/include/crocoddyl/core/fwd.hpp
/root/robotpkg/optimization/py-crocoddyl/work/crocoddyl-2.1.0/include/crocoddyl/core/integrator/rk4.hpp

Public Types

Public Member Functions

Public Attributes

Protected Attributes

Additional Inherited Members

Detailed Description

template<typename _Scalar> class crocoddyl::IntegratedActionModelRK4Tpl< _Scalar >

Member Function Documentation

◆ DEPRECATED()

◆ calc() [1/2]

◆ calc() [2/2]

◆ calcDiff() [1/2]

◆ calcDiff() [2/2]

◆ createData()

◆ quasiStatic()

◆ print()

template<typename _Scalar>
class crocoddyl::IntegratedActionModelRK4Tpl< _Scalar >