Takagi-Sugeno Fuzzy Regulator Design for Nonlinear and Unstable Systems using Negative Absolute Eigenvalue Approach

doi:10.1109/JAS.2019.1911444

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	Takagi-Sugeno Fuzzy Regulator Design for Nonlinear and Unstable Systems using Negative Absolute Eigenvalue Approach
	Ravi V. Gandhi; Dipak M. Adhyaru
发表期刊	IEEE/CAA Journal of Automatica Sinica
ISSN	2329-9266
	2020
卷号	7 期号:2 页码:482-493
摘要	This paper introduces a Takagi-Sugeno (T-S) fuzzy regulator design using the negative absolute eigenvalue (NAE) approach for a class of nonlinear and unstable systems. The open-loop system is initially embodied by the traditional T-S fuzzy model and then, all closed-loop subsystems are combined using the proposed Max-Min operator in place of traditional weighted average operator from the controller side to lessen the coupling virtually and simplify the proposed regulator design. For each virtually decoupled closed-loop subsystem, the composite regulators (i.e., primary and secondary regulators) are designed by the NAE approach based on the enhanced eigenvalue analysis. The Lyapunov function is utilized to guarantee the asymptotic stability of the overall T-S fuzzy control system. The most popular and widely used nonlinear and unstable systems like the electromagnetic levitation system (EMLS) and the inverted cart pendulum (ICP) are simulated for the wide range of the initial conditions and the enormous variation in the disturbance. The transient and steady-state performance of the considered systems using the proposed design are analyzed in terms of the decay rate, settling time and integral errors as IAE, ISE, ITAE, and ITSE to validate the effectiveness of the proposed approach compared to the most popular and traditional parallel distributed compensation (PDC) approach.
关键词	Eigenvalue approach nonlinear and unstable systems stability analysis Takagi-Sugeno (T-S) fuzzy regulator
DOI	10.1109/JAS.2019.1911444
引用统计	被引频次：10[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/42972
专题	学术期刊_IEEE/CAA Journal of Automatica Sinica
推荐引用方式 GB/T 7714	Ravi V. Gandhi,Dipak M. Adhyaru. Takagi-Sugeno Fuzzy Regulator Design for Nonlinear and Unstable Systems using Negative Absolute Eigenvalue Approach[J]. IEEE/CAA Journal of Automatica Sinica,2020,7(2):482-493.
APA	Ravi V. Gandhi,&Dipak M. Adhyaru.(2020).Takagi-Sugeno Fuzzy Regulator Design for Nonlinear and Unstable Systems using Negative Absolute Eigenvalue Approach.IEEE/CAA Journal of Automatica Sinica,7(2),482-493.
MLA	Ravi V. Gandhi,et al."Takagi-Sugeno Fuzzy Regulator Design for Nonlinear and Unstable Systems using Negative Absolute Eigenvalue Approach".IEEE/CAA Journal of Automatica Sinica 7.2(2020):482-493.

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