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H∞ Control for Network T-S Fuzzy Systems under Time Varying Delay for Multi-area Power Systems

Muhammad Shamrooz Aslam and Xisheng Dai*
International Journal of Control, Automation, and Systems, vol. 18, no. 11, pp.2774-2787, 2020

Abstract : This paper investigates the problem of Load Frequency Control (LFC) and proposes a new eventtriggered scheme for T-S Fuzzy control (TSFC) with the time-varying delay in multi-area interconnected power systems. First, we establish the mathematical model of the three-area interconnected power system. Second, a delay fuzzy-based controller is constructed by considering the same premises as in controller, and then an event-triggered scheme is considered to mitigate the effect of communication burden. Another derives of this paper are implemented to examine the prescribed H∞ or energy-to-energy performance index of the closed-loop power system. Furthermore, in this regard, by taking into account a new version of fuzzy Lyapunov-Krasovskii functional (LKF) in conjunction with free weighting matrices, containing mode-dependent non-integral term such that the resulting system is stable with the desired performance. Then, the desired Fuzzy controller is presented in the account of LMI. Finally, we validate the feasibility and the effectiveness of our results with a Three-area power systems example.

Keyword : Delayed T-S fuzzy systems, event-triggered scheme, Lyapunov-Krasovskii fuzzy functionals, three-area power systems

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