Event-Triggered Asynchronous Filter of Nonlinear Switched Positive Systems with Output Quantization

Shitao Zhang, Peng Lin and Junfeng Zhang
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Shitao Zhang: School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China
Peng Lin: School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China
Junfeng Zhang: School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China

Mathematics, 2022, vol. 10, issue 4, 1-21

Abstract: This paper deals with a static/dynamic event-triggered asynchronous filter of nonlinear switched positive systems with output quantization. The nonlinear function is located in a sector. Both static and dynamic event-triggering conditions are established based on the 1-norm form. By virtue of the event-triggering mechanism, the error system is transformed into an interval uncertain system. An event-triggered asynchronous filter is designed by employing a matrix decomposition approach. The positivity and L 1 -gain stability of the error system are guaranteed by means of linear copositive Lyapunov functions and a linear programming approach. Finally, two examples are given to verify the effectiveness of the design.

Keywords: switched nonlinear positive systems; event-triggered filter; asynchronous switching; linear programming (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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