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Adaptive Fuzzy Control for a Class of Uncertain Nonlinear System

Author: LiuXiaoHui
Tutor: XuYong
School: Hebei University of Technology
Course: Applied Mathematics
Keywords: Adaptive Fuzzy Control Integrated control Nonlinear systems Stability
CLC: TP273.4
Type: Master's thesis
Year: 2011
Downloads: 36
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Abstract


In practice , the accurate mathematical model of the controlled object is often difficult to get . Fuzzy system with fuzzy set of if-then rules in a given set of constraints consistent with arbitrary precision approximation of any continuous function of nonlinear uncertain . Since the system does not require a precise mathematical model , fuzzy control theory is successfully applied to many practical problems . In recent years, the adaptive fuzzy control of nonlinear systems attracted the attention of more and more scholars . Adaptive fuzzy control theory is a theory of fuzzy control and adaptive control theory intersect interpenetration a field of study . Adaptive fuzzy control system can not only during the run constantly revised control rules to improve the control performance , and the convergence speed and robustness . However , in the adaptive fuzzy control study, and many programs are all directly or indirectly fuzzy control , this program simply use the controlled object or fuzzy control rules . This will allow the expert knowledge or knowledge of human experience can not be fully utilized, and most of the algorithms on the assumption that approximation error satisfy the square-integrable condition design . However, in the actual process, the approximation error is difficult to achieve square Integrable this condition is satisfied . SISO uncertain nonlinear systems with perturbations for a class based on the above-mentioned problems , the paper proposed an integrated adaptive fuzzy control scheme . The program takes full advantage of the controlled object and the fuzzy control rules , the combination designed control law consists of three parts : tracking control , continuous supervision and control and adaptive compensation control . Tracking control is used to obtain the desired output tracking performance ; continuous supervision and control that is used to protect the system state sector ; adaptive compensation control is used to compensate for the fuzzy logic system approximation error and external interference , this makes the stability analysis is no longer required to meet the minimum approximation error square integrable this condition . Lyapunov method , the closed-loop system is globally stable , and the tracking error can converge to zero . The simulation results show that this method has better tracking performance than the direct or indirect fuzzy control method .

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CLC: > Industrial Technology > Automation technology,computer technology > Automation technology and equipment > Automation systems > Automatic control,automatic control system > Fuzzy control, fuzzy control system
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