ROBUST FUZZY CONTROL This chapter deals with the issue of robust fuzzy control w1 3x. In general, there exist an infinite number of stabilizing controllers if the plant is stabilizable. The selection of a particular controller among this group of available controllers is often decided by certain specifications of control performance | Fuzzy Control Systems Design and Analysis A Linear Matrix Inequality Approach Kazuo Tanaka Hua O. Wang Copyright 2001 John Wiley Sons Inc. CHAPTER 5 ISBNs 0-471-32324-1 Hardback 0-471-22459-6 Electronic ROBUST FUZZY CONTROL This chapter deals with the issue of robust fuzzy control 1-3 . In general there exist an infinite number of stabilizing controllers if the plant is stabilizable. The selection of a particular controller among this group of available controllers is often decided by certain specifications of control performance. Fuzzy control designs which guarantee a number of control performance considerations were presented in Chapter 3. The LMI-based techniques ensure not only stabilization but also for example good speed of response avoidance of actuator saturation and output error constraint. In this and next chapters a systematic treatment is given for two advanced and important issues of control performance namely robustness and optimality in fuzzy control system designs. The robustness issue is dictated by practical control applications in which there are always uncertainties associated with for example the plant actuators and sensors in a control system. Robust control addresses these uncertainties and aims to derive the best design possible under the circumstances. This chapter presents such a robust fuzzy control methodology whereas optimal fuzzy control based on quadratic performance functions will be treated in the next chapter. This chapter defines a class of Takagi-Sugeno fuzzy systems with uncertainty. Robust stability conditions for this class of systems are derived by applying the relaxed stability conditions described in Chapter 3. This chapter also gives a design method that selects the robust fuzzy controller so as to maximize the norm of the uncertain blocks out of the class of stabilizing PDC controllers. This chapter focuses on robust fuzzy control for CFS. For the design of robust fuzzy control for DFS refer to 4 5 . 97 98 ROBUST FUZZY .
