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Sampled-data control of a class of switched nonlinear systems under asynchronous switching
Authors:Jun Mao  Zhengrong Xiang  Guisheng Zhai
Institution:1. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, People’s Republic of China;2. Department of Mathematical Sciences, Shibaura Institute of Technology, Saitama 337-8570, Japan
Abstract:This paper focuses on an output feedback stabilization problem for a class of switched nonlinear systems in non-strict feedback form under asynchronous switching via sampled-data control. Since the output of the considered systems is measurable only at the sampling instants, an observer is designed with a tunable scaling gain to estimate the state, and then a sampled-data controller is constructed with the sampled estimated state. As a distinctive feature, a merging virtual switching signal is introduced to describe the asynchronous switching generated by detecting the activation of the subsystem. By choosing an appropriate Lyapunov function, it is proved that the constructed controller with dwell time constraint can globally stabilize the considered systems under asynchronous switching. Finally, the effectiveness of the proposed method is illustrated by two examples.
Keywords:Corresponding author  
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