Title :
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
fDate :
Aug. 31 1999-Sept. 3 1999
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;
Conference_Titel :
Control Conference (ECC), 1999 European
Conference_Location :
Karlsruhe
Print_ISBN :
978-3-9524173-5-5
