Robust Adaptive Fuzzy Control Based on Generalized Fuzzy Hyperbolic Model
Authors: | Zhang Mingjun, Key Laboratory of Process Industry Automation, Ministry of Education, Northeastern University and Beihua University, China Zhang Huaguang, Northeastern University, China |
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Topic: | 3.2 Cognition and Control ( AI, Fuzzy, Neuro, Evolut.Comp.) |
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Session: | Soft Computing for Control |
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Keywords: | fuzzy control, nonlinear control systems, robust control, Lyapunov equation, uncertainty, stability analysis |
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Abstract
In this paper, a robust adaptive fuzzy control algorithm based on the generalized fuzzy hyperbolic model (GFHM) for nonlinear system with uncertainties is proposed. The proposed control is a smooth control with no chattering phenomena, which consists of two control terms. One is the certainty equivalent control and the other is the compensated control, which is obtained by bounded estimation in the on-line approximation of the uncertainty. The main advantage of the proposed control law is that the human knowledge about the plant under control is be used to design the controller and only one parameter vector in the adaptive mechanism is on-line adjusted.