Title :
Modeling and control based on generalized fuzzy hyperbolic model
Author :
Zhang, Mingjun ; Zhang, Huaguang
Author_Institution :
Sch. of Inf. Sci. & Eng., Northeastern Univ., Shenyang, China
Abstract :
In this paper, a novel generalized fuzzy hyperbolic model (GFHM) is proposed. First, the definition of the GFHM is proposed and the approximation capability of the GFHM is discussed. The GFHM is proved to be an universal approximator by Stone-Weierstrass theorem. Further, this fuzzy model is used as identifier for nonlinear dynamic systems and the back-propagation training algorithm is given. Finally, the adaptive fuzzy control scheme based on the GFHM is presented, which can guarantee that the closed-loop system is globally asymptotically stable. The simulation results show the applicability of the modeling scheme and the effectiveness of the proposed adaptive control scheme.
Keywords :
adaptive control; approximation theory; asymptotic stability; backpropagation; closed loop systems; fuzzy control; nonlinear dynamical systems; adaptive fuzzy control; approximation capability; back-propagation training algorithm; closed-loop system; generalized fuzzy hyperbolic model; global asymptotic stability; nonlinear dynamic system; Adaptive control; Cities and towns; Fuzzy control; Fuzzy sets; Fuzzy systems; Information science; Input variables; Nonlinear control systems; Nonlinear dynamical systems; Programmable control;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470214
