Title :
On the persistent excitation conditions of adaptive fuzzy systems in nonlinear identifications
Author :
Wan, Feng ; Wang, Li-Xin
Author_Institution :
Dept. of Electr. & Electron. Eng., Hong Kong Univ. of Sci. & Technol., Kowloon, China
Abstract :
This paper addresses the persistent excitation conditions of adaptive fuzzy systems in the identifications of nonlinear functions and nonlinear dynamical systems. The adaptive fuzzy system is constructed as a standard fuzzy system and the parameters in the fuzzy system are tuned online by the orthogonal projection algorithm. We first give the conditions under which the parameters in the fuzzy system can be uniquely determined, and then propose methods to design input signals with the persistent excitation property for adaptive fuzzy systems in the identifications of nonlinear moving average and autoregressive moving average systems
Keywords :
adaptive systems; autoregressive moving average processes; function approximation; fuzzy set theory; fuzzy systems; identification; nonlinear dynamical systems; adaptive fuzzy systems; autoregressive moving average; excitation conditions; function approximation; identifications; nonlinear dynamical systems; orthogonal projection; Adaptive control; Adaptive systems; Design methodology; Fuzzy systems; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Parameter estimation; Programmable control; Radial basis function networks;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912877
