A y-attenuation problem for discrete-time time-varying linear systems with jump Markov perturbations

Author

Dragan, V. ; Stoica, A.

Author_Institution

Inst. of Math., Bucharest, Romania

fYear

1999

fDate

Aug. 31 1999-Sept. 3 1999

Firstpage

725

Lastpage

728

Abstract

The aim of the present paper is to develop an H^∞-type theory for discrete-time time-varying systems with jump Markov perturbations. Using a version of the Bounded Real Lemma for such systems, we derive necessary and sufficient conditions for the existence of a stabilizing controller which simultaneously ensures an imposed level of attenuation for the input-output operator associated to the resulting system. These conditions are given in terms of some matrix inequalities. Based on the solutions of these inequalities the controller can be obtained by the explicit formulae derived in [5].

Keywords

Markov processes; discrete time systems; linear matrix inequalities; linear systems; stability; time-varying systems; Bounded Real Lemma; H^∞-type theory; discrete time time varying linear systems; input-output operator; jump Markov perturbations; matrix inequalities; stabilizing controller; y-attenuation problem; Aerospace electronics; Attenuation; Linear matrix inequalities; Linear systems; Markov processes; Null space; Time-varying systems; Markov perturbations; y-attenuation;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1999 European

Conference_Location

Karlsruhe

Print_ISBN

978-3-9524173-5-5

Type

conf

Filename

7099391