Abstract
AbstractThis manuscript addresses the finite‐time (FT) H∞ control issue for distributed parameter switched systems (DPSSs). First, finite‐time boundedness for DPSSs is studied. By applying piecewise Lyapunov–Krasovskii functional method incorporated with average dwell time approach, sufficient conditions of the FT boundedness for the DPSSs are derived in terms of linear matrix inequalities. Then, an event‐triggered scheme is constructed to design output feedback controller, which guarantees the closed‐loop system to be FT bounded. Based on the conditions in FT boundedness and event‐triggered FT stabilization, FT H∞ control problem for DPSSs is developed. Finally, two numerical examples are given to verify the effectiveness of the proposed results.
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