Abstract

In this paper, a discrete-time switched nonlinear system is proved to have an input-to-state stable (ISS) property under mode-dependent average dwell-time switching signals if each constituent subsystem is ISS. This result is then applied to stabilization of uncertain discrete-time nonlinear systems via an improved switching supervisory control scheme. The states of the closed-loop system are proved to be bounded in the presence of bounded disturbances when the candidate controllers provide ISS properties regarding the estimation errors. Simulation results are provided to illustrate the effectiveness of the proposed stabilization method.

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