Event-Based Reachable Set Synthesis for Continuous Delayed Fuzzy Singularly Perturbed Systems

In this paper, the problem of event-triggered reachable set (RS) control for Takagi-Sugeno fuzzy singular perturbed systems (FSPSs) with continuous time-varying delays is studied. Originally, Lyapunov stability theory and linear matrix inequalities are applied to limit the systems state by the RS el...

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Bibliographic Details
Published inIEEE transactions on circuits and systems. II, Express briefs Vol. 71; no. 1; p. 1
Main Authors Zhang, Liang, Wang, Jiawang, Zhao, Xudong, Zhao, Ning, Sharaf, Sanaa
Format Journal Article
LanguageEnglish
Published New York IEEE 01.01.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Circuits
Decoupling
Delays
Ellipsoids
Event-triggered
Feedback control
Fuzzy control
Fuzzy singularly perturbed system
Fuzzy systems
Linear matrix inequalities
Linear matrix inequality
Mathematical analysis
Power system stability
Reachable set control
State feedback
Symmetric matrices
Takagi-Sugeno model
Upper bound
Upper bounds
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Summary:In this paper, the problem of event-triggered reachable set (RS) control for Takagi-Sugeno fuzzy singular perturbed systems (FSPSs) with continuous time-varying delays is studied. Originally, Lyapunov stability theory and linear matrix inequalities are applied to limit the systems state by the RS ellipsoid. For the designed event-triggered state feedback controller, the free-weighting matrix method and the matrix decoupling technology are used to obtain the controller gains, and then the upper bound of the stability of the FSPSs is obtained. Finally, A circuit example is provided to demonstrate the efficacy of the findings.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2023.3294913