Delay-Partitioning Approach to H Performance Analysis of Discrete-Time Systems with Interval Time-Varying Delay

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The paper addresses performance analysis of discrete-time systems with time-varying delay of value bounded in a known interval. A set of sufficient LMI conditions is obtained from using the Jensen inequality to ensure asymptotical stability and-norm bounded by a specified value. The delay partition technique is exploited further to reduce the conservativeness induced by the Jensen inequality treatment. Simulation results show the benefit of the used delay partition approach.

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1364-1367

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September 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] L. Dugard and E.I. Verriest: Stability and Control of Time-Delay Systems (Lecture Notes in Control and Information Sciences, vol. 228, Springer-Verlag, London, 1998).

DOI: 10.1007/bfb0027478

Google Scholar

[2] K. Gu, V.L. Kharitonov, and J. Chen:Stability of Time-Delay Systems (Birkhauser, Boston, 2003).

Google Scholar

[3] X. Li and C.E. de Souza: IEEE Trans. Automat. Control Vol. 42 (1997), pp.1144-1148.

Google Scholar

[4] M. Wu, Y. He, J.H. She, and G.P. Liu: Automatica Vol. 40 (2004), pp.1435-1439.

Google Scholar

[5] E. Fridman and U. Shaked: Int. J. Control Vol. 78 (2005), pp.235-246.

Google Scholar

[6] B. Zhang, S. Xu, and Y. Zou: Automatica Vol. 44 (2008), pp.2963-2967.

Google Scholar

[7] B. Du, J. Lam, Z. She, and Z. Wang: IET Control Theory and Applications Vol. 3 (2009), pp.383-390.

Google Scholar

[8] X.L. Zhu and G.H. Yang: International Journal of Robust and Nonlinear Control Vol. 20 (2010) pp.596-606.

Google Scholar

[9] G. Zong and L. Hou: IMA Journal of Mathematical Control and Information Vol. 27 (2010), pp.373-386.

Google Scholar

[10] J. Liu and J. Zhang: IET Control Theory and Applications Vol. 6 (2012), pp.335-339.

Google Scholar