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aligator
0.16.0
A versatile and efficient C++ library for real-time constrained trajectory optimization.
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Nonlinear centroidal and full kinematics forward dynamics. More...
#include <aligator/modelling/dynamics/kinodynamics-fwd.hpp>
Public Types | |
| using | Scalar = _Scalar |
| using | Base = ODEAbstractTpl<Scalar> |
| using | BaseData = ContinuousDynamicsDataTpl<Scalar> |
| using | ContDataAbstract = ContinuousDynamicsDataTpl<Scalar> |
| using | Data = KinodynamicsFwdDataTpl<Scalar> |
| using | Manifold = MultibodyPhaseSpace<Scalar> |
| using | Model = pinocchio::ModelTpl<Scalar> |
| using | Matrix3s = Eigen::Matrix<Scalar, 3, 3> |
Public Types inherited from aligator::dynamics::ODEAbstractTpl< _Scalar > | |
| using | Scalar = _Scalar |
| using | Base = ContinuousDynamicsAbstractTpl<Scalar> |
| using | Data = ContinuousDynamicsDataTpl<Scalar> |
Public Types inherited from aligator::dynamics::ContinuousDynamicsAbstractTpl< _Scalar > | |
| using | Scalar = _Scalar |
| using | Manifold = ManifoldAbstractTpl<Scalar> |
| using | ManifoldPtr = xyz::polymorphic<Manifold> |
| using | Data = ContinuousDynamicsDataTpl<Scalar> |
Public Member Functions | |
| ALIGATOR_DYNAMIC_TYPEDEFS (Scalar) | |
| const Manifold & | space () const |
| KinodynamicsFwdDynamicsTpl (const Manifold &state, const Model &model, const Vector3s &gravity, const std::vector< bool > &contact_states, const std::vector< pinocchio::FrameIndex > &contact_ids, const int force_size) | |
| void | forward (const ConstVectorRef &x, const ConstVectorRef &u, BaseData &data) const |
| Evaluate the ODE vector field: this returns the value of \(\dot{x}\). | |
| void | dForward (const ConstVectorRef &x, const ConstVectorRef &u, BaseData &data) const |
| Evaluate the vector field Jacobians. | |
| shared_ptr< ContDataAbstract > | createData () const |
| Create a data holder instance. | |
Public Member Functions inherited from aligator::dynamics::ODEAbstractTpl< _Scalar > | |
| ALIGATOR_DYNAMIC_TYPEDEFS (Scalar) | |
| virtual | ~ODEAbstractTpl ()=default |
| void | evaluate (const ConstVectorRef &x, const ConstVectorRef &u, const ConstVectorRef &xdot, Data &data) const override |
| void | computeJacobians (const ConstVectorRef &x, const ConstVectorRef &u, const ConstVectorRef &xdot, Data &data) const override |
| Differentiate the vector field. | |
Public Member Functions inherited from aligator::dynamics::ContinuousDynamicsAbstractTpl< _Scalar > | |
| ALIGATOR_DYNAMIC_TYPEDEFS (Scalar) | |
| int | ndx () const |
| int | nu () const |
| const Manifold & | space () const |
| Return a reference to the state space. | |
| ContinuousDynamicsAbstractTpl (ManifoldPtr space, const int nu) | |
| virtual | ~ContinuousDynamicsAbstractTpl ()=default |
Public Attributes | |
| Manifold | space_ |
| Model | pin_model_ |
| double | mass_ |
| Vector3s | gravity_ |
| int | force_size_ |
| std::vector< bool > | contact_states_ |
| std::vector< pinocchio::FrameIndex > | contact_ids_ |
Public Attributes inherited from aligator::dynamics::ODEAbstractTpl< _Scalar > | |
| const int | nu_ |
| Control space dimension. | |
| ManifoldPtr | space_ |
| State space. | |
Public Attributes inherited from aligator::dynamics::ContinuousDynamicsAbstractTpl< _Scalar > | |
| ManifoldPtr | space_ |
| State space. | |
| const int | nu_ |
| Control space dimension. | |
Nonlinear centroidal and full kinematics forward dynamics.
This is described in state-space \(\mathcal{X} = T\mathcal{Q}\) (the phase space \(x = (q,v)\) with q kinematics pose and v joint velocity) using the differential equation \( \dot{q} = v \) and \( \dot{v} = \begin{bmatrix} a_u \\ a_j \end{bmatrix} \), with \(a_u\) base acceleration computed from centroidal Newton-Euler law of momentum ( \( \dot{H} = \dot{A}\dot{q} + A\ddot{q} = \begin{bmatrix} \sum_i=1^{n_k} f_i + mg \\ \sum_i=1^{n_k} (p_i - c) \times f_i \end{bmatrix} \) ) and \(a_j\) commanded joints acceleration.
Definition at line 32 of file kinodynamics-fwd.hpp.
| using aligator::dynamics::KinodynamicsFwdDynamicsTpl< _Scalar >::Scalar = _Scalar |
Definition at line 34 of file kinodynamics-fwd.hpp.
| using aligator::dynamics::KinodynamicsFwdDynamicsTpl< _Scalar >::Base = ODEAbstractTpl<Scalar> |
Definition at line 36 of file kinodynamics-fwd.hpp.
| using aligator::dynamics::KinodynamicsFwdDynamicsTpl< _Scalar >::BaseData = ContinuousDynamicsDataTpl<Scalar> |
Definition at line 37 of file kinodynamics-fwd.hpp.
| using aligator::dynamics::KinodynamicsFwdDynamicsTpl< _Scalar >::ContDataAbstract = ContinuousDynamicsDataTpl<Scalar> |
Definition at line 38 of file kinodynamics-fwd.hpp.
| using aligator::dynamics::KinodynamicsFwdDynamicsTpl< _Scalar >::Data = KinodynamicsFwdDataTpl<Scalar> |
Definition at line 39 of file kinodynamics-fwd.hpp.
| using aligator::dynamics::KinodynamicsFwdDynamicsTpl< _Scalar >::Manifold = MultibodyPhaseSpace<Scalar> |
Definition at line 40 of file kinodynamics-fwd.hpp.
| using aligator::dynamics::KinodynamicsFwdDynamicsTpl< _Scalar >::Model = pinocchio::ModelTpl<Scalar> |
Definition at line 41 of file kinodynamics-fwd.hpp.
| using aligator::dynamics::KinodynamicsFwdDynamicsTpl< _Scalar >::Matrix3s = Eigen::Matrix<Scalar, 3, 3> |
Definition at line 42 of file kinodynamics-fwd.hpp.
| aligator::dynamics::KinodynamicsFwdDynamicsTpl< _Scalar >::KinodynamicsFwdDynamicsTpl | ( | const Manifold & | state, |
| const Model & | model, | ||
| const Vector3s & | gravity, | ||
| const std::vector< bool > & | contact_states, | ||
| const std::vector< pinocchio::FrameIndex > & | contact_ids, | ||
| const int | force_size ) |
| aligator::dynamics::KinodynamicsFwdDynamicsTpl< _Scalar >::ALIGATOR_DYNAMIC_TYPEDEFS | ( | Scalar | ) |
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inline |
Definition at line 55 of file kinodynamics-fwd.hpp.
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virtual |
Evaluate the ODE vector field: this returns the value of \(\dot{x}\).
Implements aligator::dynamics::ODEAbstractTpl< _Scalar >.
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virtual |
Evaluate the vector field Jacobians.
Implements aligator::dynamics::ODEAbstractTpl< _Scalar >.
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virtual |
Create a data holder instance.
Reimplemented from aligator::dynamics::ContinuousDynamicsAbstractTpl< _Scalar >.
| Manifold aligator::dynamics::KinodynamicsFwdDynamicsTpl< _Scalar >::space_ |
Definition at line 46 of file kinodynamics-fwd.hpp.
| Model aligator::dynamics::KinodynamicsFwdDynamicsTpl< _Scalar >::pin_model_ |
Definition at line 47 of file kinodynamics-fwd.hpp.
| double aligator::dynamics::KinodynamicsFwdDynamicsTpl< _Scalar >::mass_ |
Definition at line 48 of file kinodynamics-fwd.hpp.
| Vector3s aligator::dynamics::KinodynamicsFwdDynamicsTpl< _Scalar >::gravity_ |
Definition at line 49 of file kinodynamics-fwd.hpp.
| int aligator::dynamics::KinodynamicsFwdDynamicsTpl< _Scalar >::force_size_ |
Definition at line 50 of file kinodynamics-fwd.hpp.
| std::vector<bool> aligator::dynamics::KinodynamicsFwdDynamicsTpl< _Scalar >::contact_states_ |
Definition at line 52 of file kinodynamics-fwd.hpp.
| std::vector<pinocchio::FrameIndex> aligator::dynamics::KinodynamicsFwdDynamicsTpl< _Scalar >::contact_ids_ |
Definition at line 53 of file kinodynamics-fwd.hpp.