Target control for hybrid systems with linear continuous dynamics

Author

Trontis, Anastasios ; Spathopoulos, Michael P.

Author_Institution

Dept. of Mech. Eng., Univ. of Strathclyde, Glasgow, UK

Volume

2

fYear

2001

fDate

2001

Firstpage

1229

Abstract

We consider the target control problem for hybrid systems with linear continuous dynamics. The system is modelled as a hybrid automaton. Control action is applied on the discrete level, while the continuous dynamics is subject to constant or set valued disturbance. The proposed controller ensures that the system can be transferred from any point of an initial set to a target set of the hybrid state space. A control design algorithm based on reachability analysis is proposed. For the implementation of the algorithm, approximate reachability analysis is employed. This involves under-approximation of reachable sets under linear continuous dynamics. The algorithm is applied to a batch control problem

Keywords

automata theory; control system analysis computing; linear systems; modelling; reachability analysis; set theory; state-space methods; approximate reachability analysis; batch control problem; constant disturbance; continuous dynamics; control action; control design algorithm; discrete level; hybrid automaton; hybrid state space; hybrid systems; initial set; linear continuous dynamics; reachability analysis; reachable sets; set valued disturbance; target control; target set; under-approximation; Automata; Automatic control; Control design; Control system synthesis; Control systems; Heuristic algorithms; Mechanical engineering; Process design; Reachability analysis; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.981053

Filename

981053