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