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Finite-time H∞ Control for Switched Systems with Time-varying Delay using Delta Operator Approach

Chen Qin, Zhengrong Xiang*, and Hamid Reza Karimi
International Journal of Control, Automation, and Systems, vol. 12, no. 6, pp.1150-1159, 2014

Abstract : Finite-time H∞ control for switched systems with time-varying delay using delta operator approach is investigated in this paper. Firstly, by using the average dwell time approach and delta operator theory, sufficient conditions for H∞ finite-time boundedness of the underlying systems are derived. Then a state feedback controller is proposed such that the resulting closed-loop system is H∞ finite-time bounded. All the obtained results are formulated in terms of linear matrix inequalities (LMIs). Finally, an example is presented to show the validity of the proposed results.

Keyword : Average dwell time, delta operator, finite-time boundedness, H∞ performance, switched systems, time-varying delays.

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