Robust stability of discrete time systems with jumps

Author

Boukas, E.K. ; Yang, H.

Author_Institution

Dept. of Mech. Eng., Ecole Polytech. de Montreal, Que., Canada

fYear

1994

fDate

25-28 Sep 1994

Firstpage

821

Abstract

The paper deals with the robustness of the class of discrete time linear systems with Markovian jumping parameters and unknown but bounded uncertainties. Under the assumption that the Markovian jump process (disturbance) is irreducible and the complete access to the system´s state and its mode, we establish the necessary and sufficient conditions of stochastic stability for the autonomous nominal model. We also establish the sufficient condition for the robust stability result for this class of uncertain systems under matching conditions and the robust stability result under bounded uncertainties

Keywords

Markov processes; discrete time systems; robust control; stochastic processes; uncertain systems; Markov process; Markovian jumping parameters; autonomous nominal model; bounded uncertainties; discrete time linear systems; jumps; matching conditions; robust stability; robustness; stochastic stability; sufficient conditions; unknown uncertainties; Discrete time systems; Jump processes; Markov processes; Robustness; Uncertain systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical and Computer Engineering, 1994. Conference Proceedings. 1994 Canadian Conference on

Conference_Location

Halifax, NS

Print_ISBN

0-7803-2416-1

Type

conf

DOI

10.1109/CCECE.1994.405877

Filename

405877