Robust Stabilizability of Uncertain Linear Time-Delay Systems With Markovian Jumping Parameters-Reference-Cited by-同舟云学术

Robust Stabilizability of Uncertain Linear Time-Delay Systems With Markovian Jumping Parameters

Published:1996-12-01 Issue:4 Volume:118 Page:776-783
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Benjelloun K.¹,Boukas E. K.¹,Yang H.¹

Affiliation:

1. Mechanical Engineering Department, E´cole Polytechnique de Montre´al, P.O. Box 6079, Station “Centre-Ville,” Montre´al, Que., Canada

Abstract

In this paper, we deal with the robust stabilizability of the class of uncertain linear time-delay systems with Markovian jumping parameters and unknown but bounded uncertainties. Under the assumption of the complete access to the continuous state, the stochastic controllability of the nominal system and the boundedness of the system’s uncertainties, sufficient conditions which guarantee the robustness of the stability of this class of systems are given. The control law which guarantees the robustness of the stabilizability is linear-type or saturation-type. An example is presented to illustrate the usefulness of the proposed theoretical results.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/118/4/776/5545653/776_1.pdf

Reference31 articles.

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2. Boukas E. K. , 1993, “Control of Systems with Controlled Jump Markov Disturbances,” Control Theory and Advanced Technology, Vol. 9, No. 2, June, pp. 577–595.

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4. Boukas, E. K., 1996, Robust Linear Control: States Space Approach, forthcoming.

5. Boukas, E. K., and Yang, H., “Robust Stability of Nonlinear Piecewise Deterministic Systems under Matching Conditions,” 13th World Congress International Federation of Automatic Control, July 1–5, 1996.

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