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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

New Event-Triggered scheme of Observer Based Feedback Control for Delay T-S Fuzzy Systems with Imperfect Premises under Nonlinear Term

Journal of Applied Nonlinear Dynamics 11(3) (2022) 573--589 | DOI:10.5890/JAND.2022.09.005

Khaled Eltag Khaled$^{1}$, Muhammad Shamrooz Aslam$^{2,3}$

$^1$ School of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, P.R. China

$^2$ School of Electrical and Information Engineering, Guangxi University of Science and Technology, Liuzhou 545006, China

$^3$ Department of Electrical Engineering, Comsats University Islamabad Attock Campus, kamra road Attock, Pakistan

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Abstract

This article investigates the non-parallel distribution compensation issue (N-PDC) of Networked Control Systems (NCSs) under a new event-triggered strategy based on the fuzzy system for a class of nonlinear with appearing the time-varying delays. A unified framework of T-S fuzzy model under the new event-triggered strategy is present, in which \textit{(i)} The observer-based fuzzy controller with the incomplete premise matching is a build-up to obtain the unmeasurable states of the system under study; \textit{(ii)} A designed fuzzy controller has used the same premise such as the observer; and \textit{(iii)} To rationally utilize network resources and elaborately avoid unnecessary continuous monitoring, a new event-triggered mechanism with variable parameter and a sampler considered, respectively. Besides we encounter the nonlinear term with the \textit{Lipschitz condition}. Another derives of this paper introduced the $H_{\infty}$ performances index. Furthermore, in this regard, by taking into account a new \textit{fuzzy Lyapunov-Krasovskii functional} (LKF) in conjunction with free weighting matrices, containing mode-dependent non-integral terms such that the resulting system is stable with the desired performance. Then, the desired observer-based controller is presented in the account of LMI. Finally, an illustrative example is provided to demonstrate the effectiveness and superiority of the proposed method.

Acknowledgments

The work is supported by starting PhD fund No. 20z14.

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