Title :
Discrete-time optimal feedback control via Hamilton-Jacobi theory with an application to hybrid systems
Author_Institution :
Mech. & Aerosp. Eng., George Washington Univ., Washington, DC, USA
Abstract :
A computational framework for discrete-time optimal feedback control is presented. It is shown that discrete-time necessary conditions for optimality can be uniformly solved for varying boundary conditions, via the recent development of discrete-time Hamilton-Jacobi theory. This is extended to develop computational optimal feedback controls for hybrid systems with a partitioned state space, where discrete switching dynamics occur at the boundary between partitions of the configuration space. The desirable computational properties are illustrated by a numerical example.
Keywords :
continuous time systems; discrete time systems; feedback; nonlinear differential equations; optimal control; partial differential equations; state-space methods; time-varying systems; Hamilton-Jacobi theory; boundary conditions; configuration space partitions; discrete switching dynamics; discrete-time necessary condition; discrete-time optimal feedback control; hybrid system; optimality; partitioned state space; Aerospace electronics; Boundary conditions; Equations; Feedback control; Optimal control; Optimization; Switches;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426320