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

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 ev...

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Bibliographic Details
Main Authors: Shitao Zhang, Peng Lin, Junfeng Zhang
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/4/599
Description
Summary: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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>L</mi><mn>1</mn></msub></semantics></math></inline-formula>-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.
ISSN:2227-7390