Application of describing functions in the transient response analysis of a three-term fuzzy controller
G. Abdelnour, John Y. Cheung, KyungHi Chang, G. Tinetti · IEEE Transactions on Systems Man and Cybernetics · 1993
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.>