一类非线性离散系统模糊控制器的分析和设计

针对一类非线性离散不确定系统,在系统状态不可测的情况下,以T-S模型描述不同状态空间的局部动态区域,并通过中心平均反模糊化、乘积推理、单点模糊化方法得到全局模糊系统模型.基于李亚普诺夫理论和线性矩阵不等式,设计了一种基于观测器的鲁棒控制器,并对离散状态下的此类系统进行了稳定分析.最后通过M ATLAB仿真,证明了该方法的有效性.

Analysis and Design of Fuzzy Controller for a Class of Nonlinear Discrete Systems

Fuzzy adaptive robust control method based on the observer is proposed for a class of uncertain nonlinear discrete systems. A fuzzy controller is designed to stabilize the uncertain nonlinear systems whose states are unobservable. The uncertain nonlinear discrete systems are represented by Takigi-Sugeno (T-S) fuzzy models, and local dynamics in different state-space regions are represented by nonlinear models with uncertainty. The overall model of the systems is achieved by fuzzy blending of these uncertain nonlinear models by using weighted average defuzzifier, fuzzy inference and a singleness fuzzifier. The concept of parallel and distributed compensation is employed to design fuzzy robust observer and fuzzy robust controller. Stability conditions are deprived from Lyapunov method and linear matrix inequality. Finally MATLAB is applied to simulation to show the effectiveness of the proposed control scheme.