research-article

New approaches to relaxed quadratic stability condition of fuzzy control systems

Authors:

Euntai Kim,

Heejin LeeAuthors Info & Claims

IEEE Transactions on Fuzzy Systems, Volume 8, Issue 5

Pages 523 - 534

https://doi.org/10.1109/91.873576

Published: 01 October 2000 Publication History

Abstract

This paper deals with the quadratic stability conditions of fuzzy control systems that relax the existing conditions reported in the previous literatures. Two new conditions are proposed and shown to be useful in analyzing and designing fuzzy control systems. The first one employs the S-procedure to utilize information regarding the premise parts of the fuzzy systems. The next one enlarges the class of fuzzy control systems, whose stability is ensured by representing the interactions among the fuzzy subsystems in a single matrix and solving it by linear matrix inequality. The relationships between the suggested stability conditions and the conventional well-known stability conditions reported in the previous literatures are also discussed, and it is shown in a rigorous manner that the second condition of this paper includes the conventional conditions. Finally, some examples and simulation results are presented to illustrate the effectiveness of the stability conditions

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Kim DLee D(2024)Relaxed Conditions for Parameterized Linear Matrix Inequality in the Form of Double Fuzzy SummationIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2023.331529032:3(1608-1612)Online publication date: 1-Mar-2024
https://dl.acm.org/doi/10.1109/TFUZZ.2023.3315290
Kim KLee JPark P(2023)Structural Relaxation Approach to H_∞ Control With Quadratic Fuzzy Lyapunov Function for Continuous-Time Takagi–Sugeno Fuzzy SystemsIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2023.334772832:4(2235-2245)Online publication date: 28-Dec-2023
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Chen LTan YZhu YLam H(2023)Fault Reconstruction for Continuous-Time Switched Nonlinear Systems via Adaptive Fuzzy Observer DesignIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2023.325020031:9(3235-3247)Online publication date: 1-Mar-2023
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New approaches to relaxed quadratic stability condition of fuzzy control systems
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cover image IEEE Transactions on Fuzzy Systems

IEEE Transactions on Fuzzy Systems Volume 8, Issue 5

October 2000

162 pages

ISSN:1063-6706

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IEEE Press

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Published: 01 October 2000

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Kim DLee D(2024)Relaxed Conditions for Parameterized Linear Matrix Inequality in the Form of Double Fuzzy SummationIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2023.331529032:3(1608-1612)Online publication date: 1-Mar-2024
https://dl.acm.org/doi/10.1109/TFUZZ.2023.3315290
Kim KLee JPark P(2023)Structural Relaxation Approach to H_∞ Control With Quadratic Fuzzy Lyapunov Function for Continuous-Time Takagi–Sugeno Fuzzy SystemsIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2023.334772832:4(2235-2245)Online publication date: 28-Dec-2023
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Chen LTan YZhu YLam H(2023)Fault Reconstruction for Continuous-Time Switched Nonlinear Systems via Adaptive Fuzzy Observer DesignIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2023.325020031:9(3235-3247)Online publication date: 1-Mar-2023
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Qu HLi YLiu W(2021)Robust Constrained Model Predictive Control for T-S Fuzzy Uncertain System with Data Loss and Data QuantizationComplexity10.1155/2021/88657012021Online publication date: 1-Jan-2021
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Lee JMoon JLee H(2021)Continuous-time synthesizing robust sampled-data dynamic output-feedback controllers for uncertain nonlinear systems in Takagi–Sugeno formInformation Sciences: an International Journal10.1016/j.ins.2021.02.032565:C(456-468)Online publication date: 1-Jul-2021
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Kong LYuan J(2020)New relaxed stabilization conditions for discrete‐time Takagi–Sugeno fuzzy control systemsAsian Journal of Control10.1002/asjc.204722:4(1604-1616)Online publication date: 6-Jul-2020
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Approaches to quadratic stability conditions and H_∞ control designs for T-S fuzzy systems