Title :
Parameter plane analysis of fuzzy control systems for limit cycle prediction
Author :
Jau-Woei Perng ; Wu, Bing-Fei ; Lee, Tsu-Tim ; Wu, Wen-Chen
Author_Institution :
Dept. of Electron. & Control Eng., Nat. Chiao Tung Univ., Hsinchu, Taiwan
Abstract :
The main purpose of this paper is to predict the limit cycles of fuzzy control system by combining the approaches of stability equation, describing function and parameter plane. The fuzzy controller is first linearized by using the describing function method. The stability of equivalent linearized system is then analyzed by using stability equations and the parameter plane method. According to this procedure, the amplitude and frequency of limit cycles generated by the fuzzy controller can be figured out clearly in the parameter plane. In addition, both the continuous and sampled-data systems are considered. Finally, a fuzzy control system with multiple nonlinearities is also illustrated to verify its validity.
Keywords :
describing functions; fuzzy control; fuzzy systems; limit cycles; nonlinear control systems; sampled data systems; stability; continuous systems; describing function method; fuzzy control systems; fuzzy controller; limit cycle prediction; linearized system; multiple nonlinearities system; parameter plane analysis; parameter plane method; sampled data systems; stability analysis; stability equation; Control system analysis; Control systems; Frequency; Friction; Fuzzy control; Limit-cycles; Nonlinear control systems; Nonlinear equations; Robot control; Stability analysis;
Conference_Titel :
Intelligent Transportation Systems, 2003. Proceedings. 2003 IEEE
Print_ISBN :
0-7803-8125-4
DOI :
10.1109/ITSC.2003.1252061