Finite-time event-triggered \(H_\infty\) filtering of the continuous-time switched time-varying delay linear systems. (English) Zbl 07887046
Summary: The finite-time event-triggered \(H_\infty\) filtering of the continuous-time switched time-varying delay linear (CSTDL) systems is addressed in the paper. Firstly, by the merging switching signal technique, the CSTDL system and its filtering switched system are established as a filtering error system (FES) with augmented switching signal. And asynchronous switching of switched system modes and filter modes occurs since a mode-dependent event-triggered transmission scheme (METS) which determines the system output and switching signal is addressed. Secondly, the sufficient conditions are given to make certain that the FES is finite-time bounded (FTB) and has a specified \(H_\infty\) performance by using the average dwell time (ADT) and multi-Lyapunov functional method. Furthermore, a finite-time \(H_\infty\) filter is composed based on the inequalities of the parameters of the METS. Ultimately, a numerical example is inspired to manifest the availability of the effects in the study.
© 2021 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd
© 2021 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd
MSC:
| 93-XX | Systems theory; control |
Keywords:
continuous-time switched system; event-trigger; finite-time bounded; \(H_\infty\) filtering; time-varying delayReferences:
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