Differential action model for free inverse dynamics in multibody systems. More...

#include <free-invdyn.hpp>

Inheritance diagram for DifferentialActionModelFreeInvDynamicsTpl< _Scalar >:

Classes
class	ResidualModelActuation
	Actuation residual. More...

Public Types
typedef ActuationModelAbstractTpl< Scalar >	ActuationModelAbstract

typedef DifferentialActionModelAbstractTpl< Scalar >	Base

typedef ConstraintModelManagerTpl< Scalar >	ConstraintModelManager

typedef ConstraintModelResidualTpl< Scalar >	ConstraintModelResidual

typedef CostModelSumTpl< Scalar >	CostModelSum

typedef DifferentialActionDataFreeInvDynamicsTpl< Scalar >	Data

typedef DifferentialActionDataAbstractTpl< Scalar >	DifferentialActionDataAbstract

typedef MathBaseTpl< Scalar >	MathBase

typedef StateMultibodyTpl< Scalar >	StateMultibody

typedef MathBase::VectorXs	VectorXs

Public Types inherited from DifferentialActionModelAbstractTpl< _Scalar >
typedef DifferentialActionDataAbstractTpl< Scalar >	DifferentialActionDataAbstract

typedef MathBaseTpl< Scalar >	MathBase

typedef MathBase::MatrixXs	MatrixXs

typedef ScalarSelector< Scalar >::type	ScalarType

typedef StateAbstractTpl< Scalar >	StateAbstract

typedef MathBase::VectorXs	VectorXs

Public Member Functions
	DifferentialActionModelFreeInvDynamicsTpl (std::shared_ptr< StateMultibody > state, std::shared_ptr< ActuationModelAbstract > actuation, std::shared_ptr< CostModelSum > costs)
	Initialize the free inverse-dynamics action model. More...

	DifferentialActionModelFreeInvDynamicsTpl (std::shared_ptr< StateMultibody > state, std::shared_ptr< ActuationModelAbstract > actuation, std::shared_ptr< CostModelSum > costs, std::shared_ptr< ConstraintModelManager > constraints)
	Initialize the free inverse-dynamics action model. More...

virtual void	calc (const std::shared_ptr< DifferentialActionDataAbstract > &data, const Eigen::Ref< const VectorXs > &x) override

virtual void	calc (const std::shared_ptr< DifferentialActionDataAbstract > &data, const Eigen::Ref< const VectorXs > &x, const Eigen::Ref< const VectorXs > &u) override
	Compute the system acceleration, cost value and constraint residuals. More...

virtual void	calcDiff (const std::shared_ptr< DifferentialActionDataAbstract > &data, const Eigen::Ref< const VectorXs > &x) override

virtual void	calcDiff (const std::shared_ptr< DifferentialActionDataAbstract > &data, const Eigen::Ref< const VectorXs > &x, const Eigen::Ref< const VectorXs > &u) override
	Compute the derivatives of the dynamics, cost and constraint functions. More...

template<typename NewScalar >
DifferentialActionModelFreeInvDynamicsTpl< NewScalar >	cast () const
	Cast the free-invdyn model to a different scalar type. More...

virtual bool	checkData (const std::shared_ptr< DifferentialActionDataAbstract > &data) override
	Checks that a specific data belongs to the free inverse-dynamics model.

virtual std::shared_ptr< DifferentialActionDataAbstract >	createData () override
	Create the free inverse-dynamics data. More...

EIGEN_MAKE_ALIGNED_OPERATOR_NEW	CROCODDYL_DERIVED_CAST (DifferentialActionModelBase, DifferentialActionModelFreeInvDynamicsTpl) typedef _Scalar Scalar

const std::shared_ptr< ActuationModelAbstract > &	get_actuation () const
	Return the actuation model.

const std::shared_ptr< ConstraintModelManager > &	get_constraints () const
	Return the constraint model manager.

const std::shared_ptr< CostModelSum > &	get_costs () const
	Return the cost model.

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

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

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

virtual std::size_t	get_ng_T () const override
	Return the number of equality terminal constraints.

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

virtual std::size_t	get_nh_T () const override
	Return the number of equality terminal constraints.

pinocchio::ModelTpl< Scalar > &	get_pinocchio () const
	Return the Pinocchio model.

virtual void	print (std::ostream &os) const override
	Print relevant information of the free inverse-dynamics model. More...

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

Public Member Functions inherited from DifferentialActionModelAbstractTpl< _Scalar >
	DifferentialActionModelAbstractTpl (std::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, const std::size_t ng_T=0, const std::size_t nh_T=0)
	Initialize the differential 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 std::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 std::shared_ptr< DifferentialActionDataAbstract > &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.

Protected Attributes
VectorXs	g_lb_
	Lower bound of the inequality constraints.

VectorXs	g_ub_
	< Lower bound of the inequality constraints

std::size_t	ng_
	< Upper bound of the inequality constraints

std::size_t	nh_
	< Number of inequality constraints

std::size_t	nu_
	< Number of equality constraints

std::shared_ptr< StateAbstract >	state_
	< Control dimension

Protected Attributes inherited from DifferentialActionModelAbstractTpl< _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	ng_T_
	Number of inequality terminal constraints.

std::size_t	nh_
	Number of equality constraints.

std::size_t	nh_T_
	Number of equality terminal constraints.

std::size_t	nr_
	Dimension of the cost residual.

std::size_t	nu_
	Control dimension.

std::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
Public Attributes inherited from DifferentialActionModelAbstractTpl< _Scalar >
EIGEN_MAKE_ALIGNED_OPERATOR_NEW typedef _Scalar	Scalar

Protected Member Functions inherited from DifferentialActionModelAbstractTpl< _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::DifferentialActionModelFreeInvDynamicsTpl< _Scalar >

Differential action model for free inverse dynamics in multibody systems.

This class implements forward kinematic with an inverse-dynamics computed using the Recursive Newton Euler Algorithm (RNEA). The stack of cost and constraint functions are implemented in CostModelSumTpl and ConstraintModelManagerTpl, respectively. The accelerations are the decision variables defined as the control inputs, and the under-actuation constraint is under the name tau, thus the user is not allowed to use it.

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

Definition at line 39 of file free-invdyn.hpp.

Constructor & Destructor Documentation

◆ DifferentialActionModelFreeInvDynamicsTpl() [1/2]

DifferentialActionModelFreeInvDynamicsTpl	(	std::shared_ptr< StateMultibody >	state,
		std::shared_ptr< ActuationModelAbstract >	actuation,
		std::shared_ptr< CostModelSum >	costs
	)

Initialize the free inverse-dynamics action model.

It describes the kinematic evolution of the multibody system and computes the needed torques using inverse dynamics.

Parameters

[in]	state	State of the multibody system
[in]	actuation	Actuation model
[in]	costs	Cost model

◆ DifferentialActionModelFreeInvDynamicsTpl() [2/2]

DifferentialActionModelFreeInvDynamicsTpl	(	std::shared_ptr< StateMultibody >	state,
		std::shared_ptr< ActuationModelAbstract >	actuation,
		std::shared_ptr< CostModelSum >	costs,
		std::shared_ptr< ConstraintModelManager >	constraints
	)

Initialize the free inverse-dynamics action model.

Parameters

[in]	state	State of the multibody system
[in]	actuation	Actuation model
[in]	costs	Cost model
[in]	constraints	Constraints model

Member Function Documentation

◆ calc() [1/2]

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

overridevirtual

Compute the system acceleration, cost value and constraint residuals.

It extracts the acceleration value from control vector and also computes the cost and constraints.

Parameters

[in]	data	Free inverse-dynamics data
[in]	x	State point \(\mathbf{x}\in\mathbb{R}^{ndx}\)
[in]	u	Control input \(\mathbf{u}\in\mathbb{R}^{nu}\)

Implements DifferentialActionModelAbstractTpl< _Scalar >.

◆ calc() [2/2]

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

overridevirtual

Reimplemented from DifferentialActionModelAbstractTpl< _Scalar >.

◆ calcDiff() [1/2]

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

overridevirtual

Compute the derivatives of the dynamics, cost and constraint functions.

It computes the partial derivatives of the dynamical system and the cost and contraint functions. It assumes that calc() has been run first. This function builds a quadratic approximation of the time-continuous action model (i.e., dynamical system, cost and constraint functions).

Parameters

[in]	data	Free inverse-dynamics data
[in]	x	State point \(\mathbf{x}\in\mathbb{R}^{ndx}\)
[in]	u	Control input \(\mathbf{u}\in\mathbb{R}^{nu}\)

Implements DifferentialActionModelAbstractTpl< _Scalar >.

◆ calcDiff() [2/2]

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

overridevirtual

Reimplemented from DifferentialActionModelAbstractTpl< _Scalar >.

◆ createData()

virtual std::shared_ptr<DifferentialActionDataAbstract> createData ( )

overridevirtual

Create the free inverse-dynamics data.

Returns: free inverse-dynamics data

Reimplemented from DifferentialActionModelAbstractTpl< _Scalar >.

◆ cast()

DifferentialActionModelFreeInvDynamicsTpl<NewScalar> cast ( ) const

Cast the free-invdyn model to a different scalar type.

It is useful for operations requiring different precision or scalar types.

Template Parameters

NewScalar The new scalar type to cast to.

Returns: DifferentialActionModelFreeInvDynamicsTpl<NewScalar> A differential-action model with the new scalar type.

◆ quasiStatic()

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

overridevirtual

Computes the quasic static commands.

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

Parameters

[in]	data	Free inverse-dynamics data
[out]	u	Quasic-static commands
[in]	x	State point (velocity has to be zero)
[in]	maxiter	Maximum allowed number of iterations (default 100)
[in]	tol	Tolerance (default 1e-9)

Reimplemented from DifferentialActionModelAbstractTpl< _Scalar >.

◆ print()

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

overridevirtual

Print relevant information of the free inverse-dynamics model.

Parameters

[out] os Output stream object

Reimplemented from DifferentialActionModelAbstractTpl< _Scalar >.

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

/root/robotpkg/optimization/py-crocoddyl/work/crocoddyl-2.1.0/include/crocoddyl/multibody/actions/free-invdyn.hpp

Classes

Public Types

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

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

Constructor & Destructor Documentation

◆ DifferentialActionModelFreeInvDynamicsTpl() [1/2]

◆ DifferentialActionModelFreeInvDynamicsTpl() [2/2]

Member Function Documentation

◆ calc() [1/2]

◆ calc() [2/2]

◆ calcDiff() [1/2]

◆ calcDiff() [2/2]

◆ createData()

◆ cast()

◆ quasiStatic()

◆ print()

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