Titlebook: LMI Approach to Analysis and Control of Takagi-Sugeno Fuzzy Systems with Time Delay; Chong Lin,Qing-Guo Wang,Yong He Book 2007 Springer-Ve

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Introduction,zzy set theory has grown to become a major scientific domain. A fuzzy system is referred to as any static or dynamic system which makes use of fuzzy logic and of the corresponding mathematical framework. Such a system allows a gradual and continuous transition, say, from 0 to 1, rather than a crisp

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Stability Analysis of T-S Fuzzy Systems,sis based on the fuzzy weighting-dependent Lyapunov function method. This method provides the state-of-the-art of stability results that reduce the conservatism entailed in previous results using quadratic Lyapunov-Krasovskii functionals. Also, we will present an augmented fuzzy weighting-dependent

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Variable Structure Control for T-S Fuzzy Systems,pproach. Both cases of matched uncertainties and mismatched uncertainties in the state variables are considered. We will use appropriate Lyapunov functionals and Razumikhin Theorem [44] to solve the stabilization problem. We will present various control schemes in terms of LMIs for the VSC design.

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Observer-Based Fuzzy Control: Delay-Dependent Method, choice of Lyaponuv-Krasovskii functionals which incorporate the intersections among fuzzy local systems. Illustrative examples are given to show the effectiveness of the present delay-dependent result.

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0170-8643 raph on T-S fuzzy systems with time delaySinceinitiatedbyLot?A. Zadehin1965,fuzzysettheoryhastriggeredacons- erably large body of areas to blossom. A fuzzy system is, in a very broad sense, anyfuzzylogic-basedsystemwherefuzzylogiccanbeusedeither asthebasisfor the representation of di?erent forms of

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Introduction, for each element, which is a real number on [0, 1]. The membership function of a set maps each element to its degree. Accordingly, fuzzy logic is an extension of ordinary logic, which can represent fuzzy implications. There are a lot of publications to address the details of fuzzy theory, see, e.g., [65][66][67][71][124][168][176].