Abstract

SummaryThis article addresses the passivity analysis and asynchronous feedback passification problems for a class of discrete‐time switched systems with dwell time constraint. By exploiting dwell time‐dependent storage functions, a state‐dependent switching strategy obeying a dwell time constraint is constructed, and the solvability conditions for asynchronous feedback passification are developed in the form of linear matrix inequalities (LMIs). Moreover, the dwell time‐dependent asynchronous passive controllers are formulated simultaneously. It has been shown that the derived results are also applicable to the studies of passivity and synchronous feedback passification for discrete‐time switched systems under the combined switching strategy. Finally, a three‐tank system as a practical example is also provided to illustrate the applicability and effectiveness of our theoretic findings.

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