Target control for hybrid systems with linear continuous dynamics

Anastasios Trontis, Michael P. Spathopoulos

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Citations (Scopus)
41 Downloads (Pure)

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
Original languageEnglish
Title of host publicationProceedings of the 40th IEEE Conference on Decision and Control
PublisherIEEE
Pages1229-1234
Number of pages6
Volume2
ISBN (Print)0780370619
DOIs
Publication statusPublished - Dec 2001

Keywords

  • automata theory
  • control system analysis computing
  • linear systems
  • modelling
  • reachability analysis
  • set theory
  • state-space methods

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    Trontis, A., & Spathopoulos, M. P. (2001). Target control for hybrid systems with linear continuous dynamics. In Proceedings of the 40th IEEE Conference on Decision and Control (Vol. 2, pp. 1229-1234). IEEE. https://doi.org/10.1109/.2001.981053