Optimistic planning algorithms for state-constrained optimal control problems

DOI10.1016/j.camwa.2022.01.016OpenAlexW3194514564MaRDI QIDQ2667972

Nidhal Gammoudi, Olivier Bokanowski, Hasnaa Zidani

Publication date: 2 March 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.01.016

zbMATH Keywords

state constraintsoptimal control problemsoptimistic planning algorithmpiecewise control policies

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Dynamic programming in optimal control and differential games (49L20) Differential games and control (49N70) Existence of solutions for minimax problems (49J35) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (5)

Optimal Bounds for Numerical Approximations of Infinite Horizon Problems Based on Dynamic Programming Approach ⋮ SympOCnet: Solving Optimal Control Problems with Applications to High-Dimensional Multiagent Path Planning Problems ⋮ Neural networks for first order HJB equations and application to front propagation with obstacle terms ⋮ A level-set approach to the control of state-constrained McKean-Vlasov equations: application to renewable energy storage and portfolio selection ⋮ A game representation for a finite horizon state constrained continuous time linear regulator problem

Cites Work

• Unnamed Item
• Abort landing in the presence of windshear as a minimax optimal control problem. I: Necessary conditions
• Optimal abort landing trajectories in the presence of windshear
• Abort landing in the presence of windshear as a minimax optimal control problem. II: Multiple shooting and homotopy
• Continuous-action planning for discounted infinite-horizon nonlinear optimal control with Lipschitz values
• Hamilton-Jacobi-Bellman equations for optimal control processes with convex state constraints
• Mixed $H_2/H_\infty$ Control via Nonsmooth Optimization
• Optimal Control with State-Space Constraint I
• An Algorithm for Constrained Optimization with Semismooth Functions
• Value function and optimal trajectories for a maximum running cost control problem with state constraints. Application to an abort landing problem
• A general Hamilton-Jacobi framework for non-linear state-constrained control problems
• From Bandits to Monte-Carlo Tree Search: The Optimistic Principle Applied to Optimization and Planning
• An Efficient DP Algorithm on a Tree-Structure for Finite Horizon Optimal Control Problems
• An Infeasible Bundle Method for Nonsmooth Convex Constrained Optimization without a Penalty Function or a Filter
• The existence of value in differential games

This page was built for publication: Optimistic planning algorithms for state-constrained optimal control problems