Title :
A description of the dynamic behavior of fuzzy systems
Author :
Chen, Yung Yaw ; Tsao, Tsu Chin
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
Abstract :
An approach is presented for analyzing the global behavior of a fuzzy dynamical system that applies the concept and method of cell-to-cell mapping to obtain the evolving trend of the states of a fuzzy dynamical system. The behavior of the fuzzy system is characterized by equilibria, periodic motions, and their domain of attractions. Min-max operation accumulates the fuzziness of a fuzzy system in every step of iterations and makes the state evolution obscure. The proposed method transforms a given fuzzy mapping to at Z-to-Z mapping and does not accumulate fuzziness. Both the real and fuzzy initial state response analyses are discussed. An inverted pendulum controlled by a fuzzy controller is analyzed to illustrate the validity of the method
Keywords :
fuzzy set theory; minimax techniques; Z-to-Z mapping; cell-to-cell mapping; dynamic behavior; dynamical system; fuzziness; fuzzy controller; fuzzy set theory; fuzzy systems; global behavior; inverted pendulum; minimax techniques; Automatic control; Calculus; Cement industry; Control systems; Electrical equipment industry; Fuzzy control; Fuzzy systems; Humans; Industrial control; Industrial training;
Journal_Title :
Systems, Man and Cybernetics, IEEE Transactions on
