H ∞ Control for Stochastic Systems with Markovian Switching and Time-Varying Delay via Sliding Mode Design
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-16
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper addresses the problem of H∞ control for a class of uncertain stochastic systems with Markovian switching and time-varying delays.
The system under consideration is subject to time-varying norm-bounded parameter uncertainties and an unknown nonlinear function in the state.
An integral sliding surface corresponding to every mode is first constructed, and the given sliding mode controller concerning the transition rates of modes can deal with the effect of Markovian switching.
The synthesized sliding mode control law ensures the reachability of the sliding surface for corresponding subsystems and the global stochastic stability of the sliding mode dynamics.
A simulation example is presented to illustrate the proposed method.
American Psychological Association (APA)
Gao, Lijun& Wu, Yuqiang. 2013. H ∞ Control for Stochastic Systems with Markovian Switching and Time-Varying Delay via Sliding Mode Design. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1011077
Modern Language Association (MLA)
Gao, Lijun& Wu, Yuqiang. H ∞ Control for Stochastic Systems with Markovian Switching and Time-Varying Delay via Sliding Mode Design. Mathematical Problems in Engineering No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-1011077
American Medical Association (AMA)
Gao, Lijun& Wu, Yuqiang. H ∞ Control for Stochastic Systems with Markovian Switching and Time-Varying Delay via Sliding Mode Design. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1011077
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1011077