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TAKAGI-SUGENO FUZZY MODEL AND PARALLEL DISTRIBUTED COMPENSATION Recent years have witnessed rapidly growing popularity of fuzzy control systems in engineering applications. The numerous successful applications of fuzzy control have sparked a flurry of activities in the analysis and design of fuzzy control systems. In this book, we introduce a wide range of analysis and design tools for fuzzy control systems to assist control researchers and engineers to solve engineering problems. | Fuzzy Control Systems Design and Analysis A Linear Matrix Inequality Approach Kazuo Tanaka Hua O. Wang Copyright 2001 John Wiley Sons Inc. CHAPTER 2 ISBNs 0-471-32324-1 Hardback 0-471-22459-6 Electronic TAKAGI-SUGENO FUZZY MODEL AND PARALLEL DISTRIBUTED COMPENSATION Recent years have witnessed rapidly growing popularity of fuzzy control systems in engineering applications. The numerous successful applications of fuzzy control have sparked a flurry of activities in the analysis and design of fuzzy control systems. In this book we introduce a wide range of analysis and design tools for fuzzy control systems to assist control researchers and engineers to solve engineering problems. The toolkit developed in this book is based on the framework of the Takagi-Sugeno fuzzy model and the so-called parallel distributed compensation a controller structure devised in accordance with the fuzzy model. This chapter introduces the basic concepts analysis and design procedures of this approach. This chapter starts with the introduction of the Takagi-Sugeno fuzzy model T-S fuzzy model followed by construction procedures of such models. Then a model-based fuzzy controller design utilizing the concept of parallel distributed compensation is described. The main idea of the controller design is to derive each control rule so as to compensate each rule of a fuzzy system. The design procedure is conceptually simple and natural. Moreover it is shown in this chapter that the stability analysis and control design problems can be reduced to linear matrix inequality LMI problems. The design methodology is illustrated by application to the problem of balancing and swing-up of an inverted pendulum on a cart. The focus of this chapter is on the basic concept of techniques of stability analysis via LMIs 14 15 24 . The more advanced material on analysis and design involving LMIs will be given in Chapter 3. 5 6 TAKAGI-SUGENO FUZZY MODEL AND PARALLEL DISTRIBUTED COMPENSATION 2.1 TAKAGI-SUGENO FUZZY .