Title :
Application of describing functions in the transient response analysis of a three-term fuzzy controller
Author :
Abdelnour, Ghassan ; Cheung, John Y. ; Chang, Chir-Ho ; Tinetti, Guillermo
Author_Institution :
Sch. of Electr. Eng. & Comput. Sci., Oklahoma Univ., Norman, OK, USA
Abstract :
The exponential-input describing function technique is used to investigate the transient response of a fuzzy controller. The rule-base of this fuzzy controller is generated by fuzzy addition and the partitioning of the universes of discourse of its input and output variables is based on an exponential mapping scheme. By using the symmetric features introduced by fuzzy addition in the decision table of the fuzzy control algorithm and the new mapping scheme, the effects of the output error time sequences can be represented by independent multilevel relays and a multiplication junction. Computer simulations on a second-order system confirm the behaviour of this analysis technique
Keywords :
control system analysis; describing functions; fuzzy control; three-term control; transient response; decision table; exponential mapping scheme; exponential-input describing function technique; fuzzy addition; independent multilevel relays; multiplication junction; output error time sequences; partitioning; rule-base; symmetric features; three-term fuzzy controller; transient response analysis; Computer errors; Computer simulation; Error correction; Fuzzy control; Fuzzy systems; Quantization; Relays; Three-term control; Transient analysis; Transient response;
Journal_Title :
Systems, Man and Cybernetics, IEEE Transactions on
