Abstract
This paper is concerned with the problem of out-feedback stabilization for a class of discrete-time systems with multiple time-varying delays. All the time delays are assumed to be time-varying and bounded. An improved delay-dependent stability condition for the unforced system is proposed in terms of linear matrix inequality (LMI). Then, based on the obtained result, a delay-dependent result for the existence of a static output-feedback controller, which ensures the asymptotical stability of the system with controlled input and multiple delays, is derived.
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Gao, H., Lam, J., Wang, C., Wang, Y.: Delay-dependent output-feedback stabiliastion of descrete-time systems with time-varying state delay. IEE Prov.-Control Theory Appl. 151, 691–698 (2004)
Wang, Z., Huang, B.: Robust H-infinity observer design of linear state delayed systems with parametric uncertainty: the discrete-time case. Automatica 35, 1161–1167 (1999)
Palhares, R.M., de Souza, C.E., Peres, P.L.D.: Robust H-infinity filtering for uncertain discrete-time state-delayed systems. IEEE Trans. signal Process. 49, 1696–1703 (2001)
Esfhani, S., Perersen, I.R.: An LMI approach to output-feedback guaranteed cost control for uncertain time-delay systems. Int. J. Robust Nonlinear Control 10, 157–174 (2000)
Ge, J., Frank, P., Lin, C.: H-infinity control via output feedback for state delayed systems. Automatica 64, 1–7 (1996)
Yan, H.C., Huang, X.H., Wang, M., Zhang, H.: New delay-dependent stability criteria of uncertain linear systems with multiple time-varying delays. Chaos, Solitions and Fractals 37, 157–165 (2008)
Lu, C.Y., Tsai, J.S.H., Su, T.J.: On improved delay-dependent robust stability criteria for uncertain systems with multiple-state delays. IEEE Transaction on Circuits and Syatems I:Fundamental Theory and Applications 49, 253–256 (2002)
Yue, D., Lam, J., Ho, D.W.C.: Reliable H-infinite control of uncertain descriptor systems with multiple delays. IEE Prov.-Control Theory Appl. 150, 557–564 (2003)
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Zhang, L., Li, F. (2013). Output-Feedback Stabilization of Discrete-Time Systems with Multiple Time-Varying Delays. In: Du, Z. (eds) Intelligence Computation and Evolutionary Computation. Advances in Intelligent Systems and Computing, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31656-2_84
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DOI: https://doi.org/10.1007/978-3-642-31656-2_84
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31655-5
Online ISBN: 978-3-642-31656-2
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