aligator  0.6.1
A primal-dual augmented Lagrangian-type solver for nonlinear trajectory optimization.
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aligator::gar::LQRKnotTpl< Scalar > Struct Template Reference

Struct describing a stage of a constrained LQ problem. More...

#include </home/runner/work/aligator/aligator/gar/include/aligator/gar/lqr-problem.hpp>

Collaboration diagram for aligator::gar::LQRKnotTpl< Scalar >:
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Public Member Functions

 ALIGATOR_DYNAMIC_TYPEDEFS (Scalar)
 
 LQRKnotTpl ()=default
 
 LQRKnotTpl (uint nx, uint nu, uint nc, uint nx2, uint nth=0)
 
 LQRKnotTpl (uint nx, uint nu, uint nc)
 
void addParameterization (uint nth)
 

Public Attributes

uint nx
 
uint nu
 
uint nc
 
uint nx2
 
uint nth
 
MatrixXs Q
 
MatrixXs S
 
MatrixXs R
 
VectorXs q
 
VectorXs r
 
MatrixXs A
 
MatrixXs B
 
MatrixXs E
 
VectorXs f
 
MatrixXs C
 
MatrixXs D
 
VectorXs d
 
MatrixXs Gth
 
MatrixXs Gx
 
MatrixXs Gu
 
MatrixXs Gv
 
VectorXs gamma
 

Detailed Description

template<typename Scalar>
struct aligator::gar::LQRKnotTpl< Scalar >

Struct describing a stage of a constrained LQ problem.

A LQ knot corresponding to cost

\[ \frac{1}{2} \begin{bmatrix}x \\ u\end{bmatrix}^\top \begin{bmatrix}Q & S \\ S^\top & R\end{bmatrix} \begin{bmatrix}x \\ u\end{bmatrix} + q^\top x + r^\top u \]

and constraints

\[ Ex' + Ax + Bu + f = 0, \quad Cx + Du + d = 0. \]

Definition at line 27 of file lqr-problem.hpp.

Constructor & Destructor Documentation

◆ LQRKnotTpl() [1/3]

template<typename Scalar >
aligator::gar::LQRKnotTpl< Scalar >::LQRKnotTpl ( )
default

◆ LQRKnotTpl() [2/3]

template<typename Scalar >
aligator::gar::LQRKnotTpl< Scalar >::LQRKnotTpl ( uint nx,
uint nu,
uint nc,
uint nx2,
uint nth = 0 )
inline

Definition at line 46 of file lqr-problem.hpp.

◆ LQRKnotTpl() [3/3]

template<typename Scalar >
aligator::gar::LQRKnotTpl< Scalar >::LQRKnotTpl ( uint nx,
uint nu,
uint nc )
inline

Definition at line 74 of file lqr-problem.hpp.

Member Function Documentation

◆ ALIGATOR_DYNAMIC_TYPEDEFS()

template<typename Scalar >
aligator::gar::LQRKnotTpl< Scalar >::ALIGATOR_DYNAMIC_TYPEDEFS ( Scalar )

◆ addParameterization()

template<typename Scalar >
void aligator::gar::LQRKnotTpl< Scalar >::addParameterization ( uint nth)
inline

Definition at line 77 of file lqr-problem.hpp.

Member Data Documentation

◆ nx

template<typename Scalar >
uint aligator::gar::LQRKnotTpl< Scalar >::nx

Definition at line 30 of file lqr-problem.hpp.

◆ nu

template<typename Scalar >
uint aligator::gar::LQRKnotTpl< Scalar >::nu

Definition at line 30 of file lqr-problem.hpp.

◆ nc

template<typename Scalar >
uint aligator::gar::LQRKnotTpl< Scalar >::nc

Definition at line 30 of file lqr-problem.hpp.

◆ nx2

template<typename Scalar >
uint aligator::gar::LQRKnotTpl< Scalar >::nx2

Definition at line 30 of file lqr-problem.hpp.

◆ nth

template<typename Scalar >
uint aligator::gar::LQRKnotTpl< Scalar >::nth

Definition at line 30 of file lqr-problem.hpp.

◆ Q

template<typename Scalar >
MatrixXs aligator::gar::LQRKnotTpl< Scalar >::Q

Definition at line 31 of file lqr-problem.hpp.

◆ S

template<typename Scalar >
MatrixXs aligator::gar::LQRKnotTpl< Scalar >::S

Definition at line 31 of file lqr-problem.hpp.

◆ R

template<typename Scalar >
MatrixXs aligator::gar::LQRKnotTpl< Scalar >::R

Definition at line 31 of file lqr-problem.hpp.

◆ q

template<typename Scalar >
VectorXs aligator::gar::LQRKnotTpl< Scalar >::q

Definition at line 32 of file lqr-problem.hpp.

◆ r

template<typename Scalar >
VectorXs aligator::gar::LQRKnotTpl< Scalar >::r

Definition at line 32 of file lqr-problem.hpp.

◆ A

template<typename Scalar >
MatrixXs aligator::gar::LQRKnotTpl< Scalar >::A

Definition at line 33 of file lqr-problem.hpp.

◆ B

template<typename Scalar >
MatrixXs aligator::gar::LQRKnotTpl< Scalar >::B

Definition at line 33 of file lqr-problem.hpp.

◆ E

template<typename Scalar >
MatrixXs aligator::gar::LQRKnotTpl< Scalar >::E

Definition at line 33 of file lqr-problem.hpp.

◆ f

template<typename Scalar >
VectorXs aligator::gar::LQRKnotTpl< Scalar >::f

Definition at line 34 of file lqr-problem.hpp.

◆ C

template<typename Scalar >
MatrixXs aligator::gar::LQRKnotTpl< Scalar >::C

Definition at line 35 of file lqr-problem.hpp.

◆ D

template<typename Scalar >
MatrixXs aligator::gar::LQRKnotTpl< Scalar >::D

Definition at line 35 of file lqr-problem.hpp.

◆ d

template<typename Scalar >
VectorXs aligator::gar::LQRKnotTpl< Scalar >::d

Definition at line 36 of file lqr-problem.hpp.

◆ Gth

template<typename Scalar >
MatrixXs aligator::gar::LQRKnotTpl< Scalar >::Gth

Definition at line 38 of file lqr-problem.hpp.

◆ Gx

template<typename Scalar >
MatrixXs aligator::gar::LQRKnotTpl< Scalar >::Gx

Definition at line 39 of file lqr-problem.hpp.

◆ Gu

template<typename Scalar >
MatrixXs aligator::gar::LQRKnotTpl< Scalar >::Gu

Definition at line 40 of file lqr-problem.hpp.

◆ Gv

template<typename Scalar >
MatrixXs aligator::gar::LQRKnotTpl< Scalar >::Gv

Definition at line 41 of file lqr-problem.hpp.

◆ gamma

template<typename Scalar >
VectorXs aligator::gar::LQRKnotTpl< Scalar >::gamma

Definition at line 42 of file lqr-problem.hpp.


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