H∞ Finite-Time Control for Switched Linear Systems with Time-Varying Delay
Hao Liu, Yi Shen
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 DOI: 10.4236/ica.2011.23025   PDF    HTML     6,350 Downloads   10,711 Views   Citations

Abstract

Finite-time boundedness and H∞ finite-time boundedness of switched linear systems with time-varying delay and exogenous disturbances are addressed. Based on average dwell time (ADT) and free-weight matrix technologies, sufficient conditions which can ensure finite-time boundedness and H∞ finite-time boundedness are given. And then in virtue of the results on finite-time boundedness, the state memory feedback controller is designed to H∞ finite-time stabilize a time-delay switched system. These conditions are given in terms of LMIs and are delay-dependent. An example is given to illustrate the efficiency of the proposed method.

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H. Liu and Y. Shen, "H∞ Finite-Time Control for Switched Linear Systems with Time-Varying Delay," Intelligent Control and Automation, Vol. 2 No. 3, 2011, pp. 203-213. doi: 10.4236/ica.2011.23025.

Conflicts of Interest

The authors declare no conflicts of interest.

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