中文摘要：

基于模糊逻辑系统的性质,本文主要研究一类单输入单输出的非线性严格反馈系统的控制问题,提出了一种基于观测器的自适应模糊控制方法。在控制器设计过程中,采用模糊逻辑系统逼近未知的非线性函数,结合自适应模糊控制与Backstepping方法构造输出反馈控制器;在观测器设计过程中,用凸组合的方法处理不确定非线性函数,利用李雅普诺夫方法证明了闭环系统的稳定性,最后通过实际算例对本文结果的有效性进行仿真实验。仿真结果表明,在本文所提出的控制器的作用下,系统状态能够迅速收敛到原点的一个充分小的邻域内。该研究对控制理论的发展具有一定的实际应用价值。

英文摘要：

According to the nature of the fuzzy logic systems,this paper mainly studies a class of single-input single-output control problem of nonlinear strict-feedback systems,putting forward a kind of adaptive fuzzy control method based on the observer.Fuzzy logic systems are introduced in state observer to increase the observation precision.In the procedure of controller design,fuzzy logic systems are used to approximate unknown nonlinear functions.Furthermore,by combining adaptive fuzzy control method with backstepping technique,an output feedback controller is constructed.Convex combination technique is used to deal with the uncertain nonlinear functions.The stability of closed-loop system was proved by using Lyapunov method.At last,a real example is used for simulation to test the effectiveness of our result.The simulation results show that under action of the proposed controller all the state variables rapidly converge to a small neighborhood of the origin.The study has certain practical significance to the development of control theory.