Observer-based finite-time H∞ control for discrete singular stochastic systems
Date
2014
Authors
Zhang, Y.
Shi, P.
Nguang, S.
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Journal article
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Applied Mathematics Letters, 2014; 38:115-121
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Yingqi Zhang, Peng Shi, Sing Kiong Nguang
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Abstract
In this work, the observer-based finite-time H<inf>∞</inf> control problem is studied for a class of discrete-time Markovian jump singular systems with time-varying norm-bounded disturbance. The main purpose of this paper is to design an observer and a state feedback controller ensuring that the resulting closed-loop error system is singular finite-time bounded via observer-based state feedback and satisfies a prescribed H<inf>∞</inf> performance level in a finite-time interval. By using the descriptor system approach presented by Fridman and Shaked, sufficient criteria on singular H<inf>∞</inf> finite-time stabilization via observer-based state feedback are derived in terms of linear matrix inequalities. A simulation example is also given to demonstrate the validity of the developed results. © 2014 Elsevier Ltd. All rights reserved.
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© 2014 Elsevier Ltd. All rights reserved.