Robust and Safe Autonomous Navigation for Systems With Learned SE(3) Hamiltonian Dynamics

@article{Li2021RobustAS,
  title={Robust and Safe Autonomous Navigation for Systems With Learned SE(3) Hamiltonian Dynamics},
  author={Zhichao Li and Thai Duong and Nikolay A. Atanasov},
  journal={IEEE Open Journal of Control Systems},
  year={2021},
  volume={1},
  pages={164-179}
}
Stability and safety are critical properties for successful deployment of automatic control systems. As a motivating example, consider autonomous mobile robot navigation in a complex environment. A control design that generalizes to different operational conditions requires a model of the system dynamics, robustness to modeling errors, and satisfaction of safety constraints, such as collision avoidance. This paper develops a neural ordinary differential equation network to learn the dynamics of… 

Figures from this paper

Learning Control-Oriented Dynamical Structure from Data

This paper proposes a novel nonlinear tracking controller formulation based on a state-dependent Riccati equation for general nonlinear control-affine systems, and evaluates recent ideas in jointly learning a controller and stabilizability certificate for known dynamical systems.

Safe Robot Navigation in Cluttered Environments using Invariant Ellipsoids and a Reference Governor

A virtual governor system is developed to adaptively track a desired navigation path, while relying on the robot trajectory bounds to slow down if safety is endangered and speed up otherwise.

Learning Adaptive Control for SE(3) Hamiltonian Dynamics

Adapt geometric control for rigid-body systems, such as ground, aerial, and underwater vehicles, that satisfy Hamilton’s equations of motion over the SE(3) manifold is developed.

Fast and Safe Path-Following Control using a State-Dependent Directional Metric

A control policy design based on ellipsoidal trajectory bounds obtained from a quadratic state-dependent distance metric is made, leading to system behavior that is adapted to local environment geometry, carefully considering medial obstacles while paying less attention to lateral ones.

Adaptive Control of SE(3) Hamiltonian Dynamics With Learned Disturbance Features

Adaptive control is a critical component of reliable robot autonomy in rapidly changing operational conditions. Adaptive control designs benefit from a disturbance model, which is often unavailable

Hamiltonian-based Neural ODE Networks on the SE(3) Manifold For Dynamics Learning and Control

A Hamiltonian formulation over the SE(3) manifold of the structure of a neural ordinary differential equation (ODE) network to approximate the dynamics of a rigid body is proposed and guarantees total energy conservation by construction.

Robust Constrained Learning-based NMPC enabling reliable mobile robot path tracking

The goal is to use learning to generate low-uncertainty, non-parametric models in situ that provide safe, conservative control during initial trials when model uncertainty is high and converges to high-performance, optimal control during later trials whenmodel uncertainty is reduced with experience.

FaSTrack: A modular framework for fast and guaranteed safe motion planning

A path or trajectory planner using simplified dynamics to plan quickly can be incorporated into the FaSTrack framework, which provides a safety controller for the vehicle along with a guaranteed tracking error bound.

Smooth extensions of feedback motion planners via reference governors

This paper introduces a novel provably correct approach to extend the applicability of low-order feedback motion planners to high-order robot models, while retaining stability and collision avoidance properties, as well as enforcing additional constraints that are specific to the high- order models.

Funnel libraries for real-time robust feedback motion planning

By explicitly taking into account the effect of uncertainty, the robot can evaluate motion plans based on how vulnerable they are to disturbances, and constitute one of the first examples of provably safe and robust control for robotic systems with complex nonlinear dynamics that need to plan in real time in environments with complex geometric constraints.

Robust control of underactuated Aerial Manipulators via IDA-PBC

A thorough analysis of the dynamics and a fully constructive controller design for a quadrotor plus n-link manipulator in a free-motion on an arbitrary plane is provided, via the lDA-PBC methodology.
...