Abstract
This chapter is concerned with the problems of delay-dependent exponential H ∞ filtering and model reduction for discrete-time switched delay systems under average dwell time (ADT) switching signals. First, by introducing a proper factor to construct a novel Lyapunov-Krasovskii function and using ADT approach, sufficient conditions for the solvability of exponential H ∞ filtering problem, dependent on the upper and lower bounds of the time-varying delay, are obtained in terms of linear matrix inequalities (LMIs). The second objective is to construct a reduced-order model, which ensures that the resulting error system under switching signal with ADT is exponentially stable with an H ∞ norm bound. A weighting factor α is introduced to present sufficient conditions on the existence of reduced-order model in terms of strict LMIs, which lessen the computation complexity. Two numerical examples are presented to demonstrate the effectiveness of the developed results.
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© 2013 Springer-Verlag Berlin Heidelberg
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Wang, D., Shi, P., Wang, W. (2013). Delay-Dependent Exponential H ∞ Criteria for Discrete-Time Switched Delay Systems. In: Robust Filtering and Fault Detection of Switched Delay Systems. Lecture Notes in Control and Information Sciences, vol 445. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37685-6_4
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DOI: https://doi.org/10.1007/978-3-642-37685-6_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-37684-9
Online ISBN: 978-3-642-37685-6
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