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A design for a class of nonlinear systems with delay time using fuzzy logic
Authors:H. Han  S. Murakami
Affiliation:(1) Department of Information Science, Hiroshima Prefectural University, 562 Nanatsuka, Shobara-shi, Hiroshima 727-0023, Japan, JP;(2) Department of Computer Science, Kyushu Institute of Technology, 1-1 Sensui-cho, Tobata-ku, Kitakyushu 804-8550, Japan, JP
Abstract: The goal of this paper is to design a controller for a class of nonlinear systems with delay time using fuzzy logic. The control scheme considered in this paper integrates a fuzzy component and a sliding control component. In the former, the fuzzy system can be considered as a universal approximator to approximate the unknown functions in plant. In the latter, a variable structure control with a sector guarantees the global stability of the closed-loop system when a variable, involving tracking error, travels outside of the sector. The adaptive laws to adjust the parameters in the system are developed based on the Lyapunov synthesis approach. It is shown that the proposed adaptive controller guarantees tracking error, between the outputs of the considered system and desired␣values, to be asymptotical in decay.
Keywords:  Fuzzy approximator, Predictive control, Delay time, Global stability, Nonlinear systems
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