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Output Feedback Passification for Switched Discrete-time Nonlinear Systems and Adaptive Control System Design

Hongbo Pang*, Shengnan Tan, and Shuo Liu
International Journal of Control, Automation, and Systems, vol. 20, no. 6, pp.1914-1925, 2022

Abstract : This paper concerns output feedback passification and adaptive output feedback stabilization problems of switched discrete-time nonlinear systems. First, passivity concept is proposed to describe the overall passivity of switched discrete-time nonlinear system without requiring the passivity of active subsystems. Then, the conditions to be passive for such system are provided. Second, the output feedback passification is achieved under a given switching signal, when switched zero dynamics system is passive. Furthermore, adaptive output feedback stabilization problem is solved by using the output feedback passification method. Third, a time-dependent switching signal is designed to guarantee switched zero dynamics system passive. Finally, two examples are presented to verify the effectiveness of the proposed methods.

Keyword : Adaptive stabilization, feedback passivity, switched discrete-time systems, time-dependent switching law.

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