tailieunhanh - Hệ thống điều khiển mờ - Thiết kế và phân tích P12

NEW STABILITY CONDITIONS AND DYNAMIC FEEDBACK DESIGNS This chapter presents a unified systematic framework of control synthesis w1 5x for dynamic systems described by the Takagi-Sugeno fuzzy model. In comparison with preceding chapters, this chapter provides two significant extensions. First we provide a new sufficient condition for the existence of a quadratically stabilizing state feedback PDC controller which is more general and relaxed than the existing conditions. | Fuzzy Control Systems Design and Analysis A Linear Matrix Inequality Approach Kazuo Tanaka Hua O. Wang Copyright 2001 John Wiley Sons Inc. CHAPTER 12 ISBNs 0-471-32324-1 Hardback 0-471-22459-6 Electronic NEW STABILITY CONDITIONS AND DYNAMIC FEEDBACK DESIGNS This chapter presents a unified systematic framework of control synthesis 1-5 for dynamic systems described by the Takagi-Sugeno fuzzy model. In comparison with preceding chapters this chapter provides two significant extensions. First we provide a new sufficient condition for the existence of a quadratically stabilizing state feedback PDC controller which is more general and relaxed than the existing conditions. Second we introduce the notion of dynamic parallel distributed compensation DPDC and we provide a set of sufficient LMI conditions for the existence of quadratically stabilizing dynamic compensators. In this chapter the notation M 0 stands for a positive definite symmetric matrix M L A P ATPT PA is defined as a mapping from x X x to x . The same holds for L AT QT AQ QTAT. The term PT is the same as Py1 T. From this chapter onward we will use italic symbols such as A and B instead of A and B. In addition to lighten the notation we will use x y z p and u instead of x t y t z t p t and u t respectively. Another notable point regarding the notation is that we will use p t or p instead of z t as premise variables. This is because z is used as performance variables in Chapters 13 and 15 which are based on the setting presented in this chapter. The symbol x denotes the transposed vector of x. We often drop the p and just write h but it should be kept in mind that the h s are functions of the variable p. The summation process associated with the center of gravity defuzzification in system and can also be viewed as an interpolation between the vectors Aix Biu based on the value of the parameter p. The parameter p can be given several different interpretations. First we can assume that the 229 230 NEW .

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