Frame rotation cost. More...

#include <crocoddyl/multibody/costs/frame-rotation.hpp>

Inheritance diagram for CostModelFrameRotationTpl< _Scalar >:

Collaboration diagram for CostModelFrameRotationTpl< _Scalar >:

Public Types
typedef ActivationModelAbstractTpl< Scalar >	ActivationModelAbstract

typedef CostModelResidualTpl< Scalar >	Base

typedef FrameRotationTpl< Scalar >	FrameRotation

typedef MathBaseTpl< Scalar >	MathBase

typedef MathBase::Matrix3xs	Matrix3xs

typedef ResidualModelFrameRotationTpl< Scalar >	ResidualModelFrameRotation

typedef StateMultibodyTpl< Scalar >	StateMultibody

typedef MathBase::VectorXs	VectorXs

Public Types inherited from CostModelResidualTpl< _Scalar >
typedef ActivationModelAbstractTpl< Scalar >	ActivationModelAbstract

typedef CostModelAbstractTpl< Scalar >	Base

typedef CostDataAbstractTpl< Scalar >	CostDataAbstract

typedef CostDataResidualTpl< Scalar >	Data

typedef DataCollectorAbstractTpl< Scalar >	DataCollectorAbstract

typedef MathBaseTpl< Scalar >	MathBase

typedef MathBase::MatrixXs	MatrixXs

typedef ResidualModelAbstractTpl< Scalar >	ResidualModelAbstract

typedef MathBase::VectorXs	VectorXs

Public Types inherited from CostModelAbstractTpl< _Scalar >
typedef ActivationModelAbstractTpl< Scalar >	ActivationModelAbstract

typedef ActivationModelQuadTpl< Scalar >	ActivationModelQuad

typedef CostDataAbstractTpl< Scalar >	CostDataAbstract

typedef DataCollectorAbstractTpl< Scalar >	DataCollectorAbstract

typedef MathBaseTpl< Scalar >	MathBase

typedef MathBase::MatrixXs	MatrixXs

typedef ResidualModelAbstractTpl< Scalar >	ResidualModelAbstract

typedef StateAbstractTpl< Scalar >	StateAbstract

typedef MathBase::VectorXs	VectorXs

Public Member Functions
	CostModelFrameRotationTpl (boost::shared_ptr< StateMultibody > state, boost::shared_ptr< ActivationModelAbstract > activation, const FrameRotation &Fref)
	Initialize the frame rotation cost model. More...

	CostModelFrameRotationTpl (boost::shared_ptr< StateMultibody > state, boost::shared_ptr< ActivationModelAbstract > activation, const FrameRotation &Fref, const std::size_t nu)
	Initialize the frame rotation cost model. More...

	CostModelFrameRotationTpl (boost::shared_ptr< StateMultibody > state, const FrameRotation &Fref)
	Initialize the frame rotation cost model. More...

	CostModelFrameRotationTpl (boost::shared_ptr< StateMultibody > state, const FrameRotation &Fref, const std::size_t nu)
	Initialize the frame rotation cost model. More...

Public Member Functions inherited from CostModelResidualTpl< _Scalar >
	CostModelResidualTpl (boost::shared_ptr< typename Base::StateAbstract > state, boost::shared_ptr< ActivationModelAbstract > activation, boost::shared_ptr< ResidualModelAbstract > residual)
	Initialize the residual cost model. More...

	CostModelResidualTpl (boost::shared_ptr< typename Base::StateAbstract > state, boost::shared_ptr< ResidualModelAbstract > residual)
	Initialize the residual cost model. More...

virtual void	calc (const boost::shared_ptr< CostDataAbstract > &data, const Eigen::Ref< const VectorXs > &x)
	Compute the residual cost based on state only. More...

virtual void	calc (const boost::shared_ptr< CostDataAbstract > &data, const Eigen::Ref< const VectorXs > &x, const Eigen::Ref< const VectorXs > &u)
	Compute the residual cost. More...

virtual void	calcDiff (const boost::shared_ptr< CostDataAbstract > &data, const Eigen::Ref< const VectorXs > &x)
	Compute the derivatives of the residual cost with respect to the state only. More...

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

virtual boost::shared_ptr< CostDataAbstract >	createData (DataCollectorAbstract *const data)
	Create the residual cost data.

virtual void	print (std::ostream &os) const
	Print relevant information of the cost-residual model. More...

Public Member Functions inherited from CostModelAbstractTpl< _Scalar >
	CostModelAbstractTpl (boost::shared_ptr< StateAbstract > state, boost::shared_ptr< ActivationModelAbstract > activation)
	Initialize the cost model. More...

	CostModelAbstractTpl (boost::shared_ptr< StateAbstract > state, boost::shared_ptr< ActivationModelAbstract > activation, boost::shared_ptr< ResidualModelAbstract > residual)
	Initialize the cost model. More...

	CostModelAbstractTpl (boost::shared_ptr< StateAbstract > state, boost::shared_ptr< ActivationModelAbstract > activation, const std::size_t nu)
	Initialize the cost model. More...

	CostModelAbstractTpl (boost::shared_ptr< StateAbstract > state, boost::shared_ptr< ResidualModelAbstract > residual)
	Initialize the cost model. More...

	CostModelAbstractTpl (boost::shared_ptr< StateAbstract > state, const std::size_t nr)
	Initialize the cost model. More...

	CostModelAbstractTpl (boost::shared_ptr< StateAbstract > state, const std::size_t nr, const std::size_t nu)
	Initialize the cost model. More...

const boost::shared_ptr< ActivationModelAbstract > &	get_activation () const
	Return the activation model.

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

template<class ReferenceType >
ReferenceType	get_reference ()
	Return the cost reference.

const boost::shared_ptr< ResidualModelAbstract > &	get_residual () const
	Return the residual model.

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

template<class ReferenceType >
void	set_reference (ReferenceType ref)
	Modify the cost reference.

Public Attributes
EIGEN_MAKE_ALIGNED_OPERATOR_NEW typedef _Scalar	Scalar

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

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

Protected Member Functions
virtual void	get_referenceImpl (const std::type_info &ti, void *pv)
	Return the frame rotation reference.

virtual void	set_referenceImpl (const std::type_info &ti, const void *pv)
	Modify the frame rotation reference.

Protected Attributes
boost::shared_ptr< ActivationModelAbstract >	activation_
	Activation model.

std::size_t	nu_
	Control dimension.

boost::shared_ptr< ResidualModelAbstract >	residual_
	Residual model.

boost::shared_ptr< StateAbstract >	state_
	State description.

VectorXs	unone_
	No control vector.

Protected Attributes inherited from CostModelResidualTpl< _Scalar >
boost::shared_ptr< ActivationModelAbstract >	activation_
	Activation model.

std::size_t	nu_
	Control dimension.

boost::shared_ptr< ResidualModelAbstract >	residual_
	Residual model.

boost::shared_ptr< StateAbstract >	state_
	State description.

VectorXs	unone_
	No control vector.

Protected Attributes inherited from CostModelAbstractTpl< _Scalar >
boost::shared_ptr< ActivationModelAbstract >	activation_
	Activation model.

std::size_t	nu_
	Control dimension.

boost::shared_ptr< ResidualModelAbstract >	residual_
	Residual model.

boost::shared_ptr< StateAbstract >	state_
	State description.

VectorXs	unone_
	No control vector.

Detailed Description

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

Frame rotation cost.

This cost function defines a residual vector as \(\mathbf{r}=\mathbf{R}\ominus\mathbf{R}^*\), where \(\mathbf{R},\mathbf{R}^*\in~\mathbb{SO(3)}\) are the current and reference frame rotations, respectively. Note that the dimension of the residual vector is 3.

Both cost and residual derivatives are computed analytically. For the computation of the cost Hessian, we use the Gauss-Newton approximation, e.g. \(\mathbf{l_{xu}} = \mathbf{l_{x}}^T \mathbf{l_{u}} \).

As described in CostModelResidualTpl(), the cost value and its derivatives are calculated by calc and calcDiff, respectively.

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

Definition at line 42 of file frame-rotation.hpp.

Constructor & Destructor Documentation

◆ CostModelFrameRotationTpl() [1/4]

CostModelFrameRotationTpl	(	boost::shared_ptr< StateMultibody >	state,
		boost::shared_ptr< ActivationModelAbstract >	activation,
		const FrameRotation &	Fref,
		const std::size_t	nu
	)

Initialize the frame rotation cost model.

Parameters

[in]	state	State of the multibody system
[in]	activation	Activation model
[in]	Fref	Reference frame rotation
[in]	nu	Dimension of the control vector

◆ CostModelFrameRotationTpl() [2/4]

CostModelFrameRotationTpl	(	boost::shared_ptr< StateMultibody >	state,
		boost::shared_ptr< ActivationModelAbstract >	activation,
		const FrameRotation &	Fref
	)

Initialize the frame rotation cost model.

The default nu is equals to StateAbstractTpl::get_nv().

Parameters

[in]	state	State of the multibody system
[in]	activation	Activation model
[in]	Fref	Reference frame rotation
[in]	nu	Dimension of the control vector

◆ CostModelFrameRotationTpl() [3/4]

CostModelFrameRotationTpl	(	boost::shared_ptr< StateMultibody >	state,
		const FrameRotation &	Fref,
		const std::size_t	nu
	)

Initialize the frame rotation cost model.

We use ActivationModelQuadTpl as a default activation model (i.e. \(a=\frac{1}{2}\|\mathbf{r}\|^2\)).

Parameters

[in]	state	State of the multibody system
[in]	activation	Activation model
[in]	Fref	Reference frame rotation
[in]	nu	Dimension of the control vector

◆ CostModelFrameRotationTpl() [4/4]

CostModelFrameRotationTpl	(	boost::shared_ptr< StateMultibody >	state,
		const FrameRotation &	Fref
	)

Initialize the frame rotation cost model.

We use ActivationModelQuadTpl as a default activation model (i.e. \(a=\frac{1}{2}\|\mathbf{r}\|^2\)). Furthermore, the default nu is equals to StateAbstractTpl::get_nv()

Parameters

[in]	state	State of the multibody system
[in]	activation	Activation model
[in]	Fref	Reference frame rotation
[in]	nu	Dimension of the control vector

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

include/crocoddyl/multibody/costs/frame-rotation.hpp

Public Types

Public Member Functions

Public Attributes

Protected Member Functions

Protected Attributes

Detailed Description

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

Constructor & Destructor Documentation

◆ CostModelFrameRotationTpl() [1/4]

◆ CostModelFrameRotationTpl() [2/4]

◆ CostModelFrameRotationTpl() [3/4]

◆ CostModelFrameRotationTpl() [4/4]

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