Abstract
AbstractIn this paper, an observer‐based controller is designed to control a class of discrete‐time switched nonlinear systems with state delay and external disturbances. Based on the passivity concept, the average dwell time method, and auxiliary matrices, less‐conservative sufficient conditions are derived to make the closed‐loop system finite‐time bounded and passive in the presence of disturbances. In contrast to existing papers in this field, this paper deals with discrete‐time nonlinear switched systems and especially with an observer‐based controller. The developed conditions are presented in the form of linear matrix inequalities. Finally, computer simulations (numerical and practical examples) are provided to illustrate the performance of the proposed controller.
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