Asynchronous feedback passification for discrete-time switched systems under state-dependent switching with dwell time constraint

This 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.