Stabilization of stochastic hybrid systems

Ching Chih Tsai*, Abraham H. Haddad

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

The authors address a stabilization scheme for a hybrid system whose state equations are governed by a stochastic switching process, which is modeled as a continuous-time finite-state Markov chain (FSMC). The proposed linear control law switches its gain based on the imperfectly detected states of the Markov chain. It is assumed that the correct detection probability is the same for all Markov states. The range of the correct detection probability of the detector is computed by solving the conditions for the almost sure sample path stability of the closed-loop system. Two simple examples are provided to illustrate the technique.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherPubl by IEEE
Pages1842-1843
Number of pages2
Volume2
ISBN (Print)0780304500
StatePublished - Dec 1 1991
EventProceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3) - Brighton, Engl
Duration: Dec 11 1991Dec 13 1991

Other

OtherProceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3)
CityBrighton, Engl
Period12/11/9112/13/91

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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  • Cite this

    Tsai, C. C., & Haddad, A. H. (1991). Stabilization of stochastic hybrid systems. In Proceedings of the IEEE Conference on Decision and Control (Vol. 2, pp. 1842-1843). Publ by IEEE.