迟滞系统的鲁棒自适应变论域模糊控制

摘要

设计了一个H∞变论域模糊控制器,用于控制一类单输入单输出的基于Preisach模型的未知迟滞非线性系统.该控制器将H∞控制与模糊控制结合起来,提高了H∞控制的智能性和模糊控制的鲁棒性.通过Lyapunov方法,证明了闭环控制系统是稳定的.该控制系统中模糊逻辑逼近误差和外部扰动误差都能通过调节权重因子被限定在一个给定范围内.最后,给出了关于未知迟滞非线性系统的仿真结果,表明了控制方案的可行和有效性.%An H-infinity variable universe fuzzy controller was presented for a class of single-input-single-output nonlinear systems with an unknown hysteresis nonlinearity represented by the Preisach model. An attempt was made to create the bridge between two important design techniques, i.e. H-infinity control design and fuzzy control design, so as to provide H-infinity control design with more intelligence and fuzzy control design with better robust performance. By Lyapunov method, the overall closed-loop system was shown to be stable. In the study, the effect of both fuzzy logic approximation error and external disturbance on the tracking error was attenuated to a prescribed level by adequately selecting the weighting factor. The simulation results of the nonlinear systems with an unknown hysteresis nonlinearity show that the control algorithm is feasible for practical application.