Drake
Drake C++ Documentation

Detailed Description

Constrains the position of a point Q, rigidly attached to a frame B, to be within a bounding box measured and expressed in frame A.

Namely p_AQ_lower <= p_AQ <= p_AQ_upper.

#include <drake/multibody/inverse_kinematics/position_constraint.h>

Public Member Functions

 PositionConstraint (const MultibodyPlant< double > *plant, const Frame< double > &frameA, const Eigen::Ref< const Eigen::Vector3d > &p_AQ_lower, const Eigen::Ref< const Eigen::Vector3d > &p_AQ_upper, const Frame< double > &frameB, const Eigen::Ref< const Eigen::Vector3d > &p_BQ, systems::Context< double > *plant_context)
 Constructs PositionConstraint object. More...
 
 PositionConstraint (const MultibodyPlant< AutoDiffXd > *plant, const Frame< AutoDiffXd > &frameA, const Eigen::Ref< const Eigen::Vector3d > &p_AQ_lower, const Eigen::Ref< const Eigen::Vector3d > &p_AQ_upper, const Frame< AutoDiffXd > &frameB, const Eigen::Ref< const Eigen::Vector3d > &p_BQ, systems::Context< AutoDiffXd > *plant_context)
 Overloaded constructor. More...
 
 PositionConstraint (const MultibodyPlant< double > *plant, const Frame< double > &frameAbar, const std::optional< math::RigidTransformd > &X_AbarA, const Eigen::Ref< const Eigen::Vector3d > &p_AQ_lower, const Eigen::Ref< const Eigen::Vector3d > &p_AQ_upper, const Frame< double > &frameB, const Eigen::Ref< const Eigen::Vector3d > &p_BQ, systems::Context< double > *plant_context)
 Overloaded constructor. More...
 
 PositionConstraint (const MultibodyPlant< AutoDiffXd > *plant, const Frame< AutoDiffXd > &frameAbar, const std::optional< math::RigidTransformd > &X_AbarA, const Eigen::Ref< const Eigen::Vector3d > &p_AQ_lower, const Eigen::Ref< const Eigen::Vector3d > &p_AQ_upper, const Frame< AutoDiffXd > &frameB, const Eigen::Ref< const Eigen::Vector3d > &p_BQ, systems::Context< AutoDiffXd > *plant_context)
 Overloaded constructor. More...
 
 ~PositionConstraint () override
 
Does not allow copy, move, or assignment
 PositionConstraint (const PositionConstraint &)=delete
 
PositionConstraintoperator= (const PositionConstraint &)=delete
 
 PositionConstraint (PositionConstraint &&)=delete
 
PositionConstraintoperator= (PositionConstraint &&)=delete
 
- Public Member Functions inherited from Constraint
template<typename DerivedLB , typename DerivedUB >
 Constraint (int num_constraints, int num_vars, const Eigen::MatrixBase< DerivedLB > &lb, const Eigen::MatrixBase< DerivedUB > &ub, const std::string &description="")
 Constructs a constraint which has num_constraints rows, with an input num_vars x 1 vector. More...
 
 Constraint (int num_constraints, int num_vars)
 Constructs a constraint which has num_constraints rows, with an input num_vars x 1 vector, with no bounds. More...
 
bool CheckSatisfied (const Eigen::Ref< const Eigen::VectorXd > &x, double tol=1E-6) const
 Return whether this constraint is satisfied by the given value, x. More...
 
bool CheckSatisfied (const Eigen::Ref< const AutoDiffVecXd > &x, double tol=1E-6) const
 
symbolic::Formula CheckSatisfied (const Eigen::Ref< const VectorX< symbolic::Variable >> &x) const
 
const Eigen::VectorXd & lower_bound () const
 
const Eigen::VectorXd & upper_bound () const
 
int num_constraints () const
 Number of rows in the output constraint. More...
 
 Constraint (const Constraint &)=delete
 
Constraintoperator= (const Constraint &)=delete
 
 Constraint (Constraint &&)=delete
 
Constraintoperator= (Constraint &&)=delete
 
- Public Member Functions inherited from EvaluatorBase
virtual ~EvaluatorBase ()
 
void Eval (const Eigen::Ref< const Eigen::VectorXd > &x, Eigen::VectorXd *y) const
 Evaluates the expression. More...
 
void Eval (const Eigen::Ref< const AutoDiffVecXd > &x, AutoDiffVecXd *y) const
 Evaluates the expression. More...
 
void Eval (const Eigen::Ref< const VectorX< symbolic::Variable >> &x, VectorX< symbolic::Expression > *y) const
 Evaluates the expression. More...
 
void set_description (const std::string &description)
 Set a human-friendly description for the evaluator. More...
 
const std::string & get_description () const
 Getter for a human-friendly description for the evaluator. More...
 
std::ostream & Display (std::ostream &os, const VectorX< symbolic::Variable > &vars) const
 Formats this evaluator into the given stream using vars for the bound decision variable names. More...
 
std::ostream & Display (std::ostream &os) const
 Formats this evaluator into the given stream, without displaying the decision variables it is bound to. More...
 
std::string ToLatex (const VectorX< symbolic::Variable > &vars, int precision=3) const
 Returns a LaTeX string describing this evaluator. More...
 
int num_vars () const
 Getter for the number of variables, namely the number of rows in x, as used in Eval(x, y). More...
 
int num_outputs () const
 Getter for the number of outputs, namely the number of rows in y, as used in Eval(x, y). More...
 
void SetGradientSparsityPattern (const std::vector< std::pair< int, int >> &gradient_sparsity_pattern)
 Set the sparsity pattern of the gradient matrix ∂y/∂x (the gradient of y value in Eval, w.r.t x in Eval) . More...
 
const std::optional< std::vector< std::pair< int, int > > > & gradient_sparsity_pattern () const
 Returns the vector of (row_index, col_index) that contains all the entries in the gradient of Eval function (∂y/∂x) whose value could be non-zero, namely if ∂yᵢ/∂xⱼ could be non-zero, then the pair (i, j) is in gradient_sparsity_pattern. More...
 
bool is_thread_safe () const
 Returns whether it is safe to call Eval in parallel. More...
 
 EvaluatorBase (const EvaluatorBase &)=delete
 
EvaluatorBaseoperator= (const EvaluatorBase &)=delete
 
 EvaluatorBase (EvaluatorBase &&)=delete
 
EvaluatorBaseoperator= (EvaluatorBase &&)=delete
 

Additional Inherited Members

- Protected Member Functions inherited from Constraint
void UpdateLowerBound (const Eigen::Ref< const Eigen::VectorXd > &new_lb)
 Updates the lower bound. More...
 
void UpdateUpperBound (const Eigen::Ref< const Eigen::VectorXd > &new_ub)
 Updates the upper bound. More...
 
void set_bounds (const Eigen::Ref< const Eigen::VectorXd > &new_lb, const Eigen::Ref< const Eigen::VectorXd > &new_ub)
 Set the upper and lower bounds of the constraint. More...
 
virtual bool DoCheckSatisfied (const Eigen::Ref< const Eigen::VectorXd > &x, const double tol) const
 
virtual bool DoCheckSatisfied (const Eigen::Ref< const AutoDiffVecXd > &x, const double tol) const
 
virtual symbolic::Formula DoCheckSatisfied (const Eigen::Ref< const VectorX< symbolic::Variable >> &x) const
 
- Protected Member Functions inherited from EvaluatorBase
 EvaluatorBase (int num_outputs, int num_vars, const std::string &description="")
 Constructs a evaluator. More...
 
virtual std::ostream & DoDisplay (std::ostream &os, const VectorX< symbolic::Variable > &vars) const
 NVI implementation of Display. More...
 
virtual std::string DoToLatex (const VectorX< symbolic::Variable > &vars, int precision) const
 
void set_num_outputs (int num_outputs)
 
void set_is_thread_safe (bool is_thread_safe)
 

Constructor & Destructor Documentation

◆ PositionConstraint() [1/6]

PositionConstraint ( const PositionConstraint )
delete

◆ PositionConstraint() [2/6]

◆ PositionConstraint() [3/6]

PositionConstraint ( const MultibodyPlant< double > *  plant,
const Frame< double > &  frameA,
const Eigen::Ref< const Eigen::Vector3d > &  p_AQ_lower,
const Eigen::Ref< const Eigen::Vector3d > &  p_AQ_upper,
const Frame< double > &  frameB,
const Eigen::Ref< const Eigen::Vector3d > &  p_BQ,
systems::Context< double > *  plant_context 
)

Constructs PositionConstraint object.

Parameters
plantThe MultibodyPlant on which the constraint is imposed. plant should be alive during the lifetime of this constraint.
frameAThe frame in which point Q's position is measured.
p_AQ_lowerThe lower bound on the position of point Q, measured and expressed in frame A.
p_AQ_upperThe upper bound on the position of point Q, measured and expressed in frame A.
frameBThe frame to which point Q is rigidly attached.
p_BQThe position of the point Q, rigidly attached to frame B, measured and expressed in frame B.
plant_contextThe Context that has been allocated for this plant. We will update the context when evaluating the constraint. plant_context should be alive during the lifetime of this constraint.
Precondition
frameA and frameB must belong to plant.
p_AQ_lower(i) <= p_AQ_upper(i) for i = 1, 2, 3.
Exceptions
std::exceptionif plant is nullptr.
std::exceptionif plant_context is nullptr.

◆ PositionConstraint() [4/6]

PositionConstraint ( const MultibodyPlant< AutoDiffXd > *  plant,
const Frame< AutoDiffXd > &  frameA,
const Eigen::Ref< const Eigen::Vector3d > &  p_AQ_lower,
const Eigen::Ref< const Eigen::Vector3d > &  p_AQ_upper,
const Frame< AutoDiffXd > &  frameB,
const Eigen::Ref< const Eigen::Vector3d > &  p_BQ,
systems::Context< AutoDiffXd > *  plant_context 
)

Overloaded constructor.

Same as the constructor with the double version (using MultibodyPlant<double> and Context<double>). Except the gradient of the constraint is computed from autodiff.

◆ PositionConstraint() [5/6]

PositionConstraint ( const MultibodyPlant< double > *  plant,
const Frame< double > &  frameAbar,
const std::optional< math::RigidTransformd > &  X_AbarA,
const Eigen::Ref< const Eigen::Vector3d > &  p_AQ_lower,
const Eigen::Ref< const Eigen::Vector3d > &  p_AQ_upper,
const Frame< double > &  frameB,
const Eigen::Ref< const Eigen::Vector3d > &  p_BQ,
systems::Context< double > *  plant_context 
)

Overloaded constructor.

Except that the constructor takes in a frame A̅ and a pose X_AAbar between the frame A and A̅. We will constrain the position of point Q expressed in the frame A to lie within a bounding box of A.

Parameters
plantThe MultibodyPlant on which the constraint is imposed. plant should be alive during the lifetime of this constraint.
frameAbarThe frame A̅ in which point Q's position is measured.
X_AbarArelative transform between the frame A̅ and A. If empty, then we use identity transform.
p_AQ_lowerThe lower bound on the position of point Q, measured and expressed in frame A.
p_AQ_upperThe upper bound on the position of point Q, measured and expressed in frame A.
frameBThe frame to which point Q is rigidly attached.
p_BQThe position of the point Q, rigidly attached to frame B, measured and expressed in frame B.
plant_contextThe Context that has been allocated for this plant. We will update the context when evaluating the constraint. plant_context should be alive during the lifetime of this constraint.
Precondition
frameA and frameB must belong to plant.
p_AQ_lower(i) <= p_AQ_upper(i) for i = 1, 2, 3.
Exceptions
std::exceptionif plant is nullptr.
std::exceptionif plant_context is nullptr.

◆ PositionConstraint() [6/6]

PositionConstraint ( const MultibodyPlant< AutoDiffXd > *  plant,
const Frame< AutoDiffXd > &  frameAbar,
const std::optional< math::RigidTransformd > &  X_AbarA,
const Eigen::Ref< const Eigen::Vector3d > &  p_AQ_lower,
const Eigen::Ref< const Eigen::Vector3d > &  p_AQ_upper,
const Frame< AutoDiffXd > &  frameB,
const Eigen::Ref< const Eigen::Vector3d > &  p_BQ,
systems::Context< AutoDiffXd > *  plant_context 
)

Overloaded constructor.

Same as the constructor with the double version (using MultibodyPlant<double> and Context<double>). Except the gradient of the constraint is computed from autodiff.

◆ ~PositionConstraint()

~PositionConstraint ( )
override

Member Function Documentation

◆ operator=() [1/2]

PositionConstraint& operator= ( const PositionConstraint )
delete

◆ operator=() [2/2]

PositionConstraint& operator= ( PositionConstraint &&  )
delete

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