非线性系统的模糊变结构控制及应用

采用T S模糊动态模型逼近非线性系统 ,将非线性系统模糊化为局部线性模型。用Lyapunov稳定性理论设计出确保T S模糊模型全局渐近稳定的变结构控制器。应用到Lorenz和Rossler两类混沌系统的稳定控制中 ,仿真验证了方案的有效性 ,不需要改变被控混沌系统的内部结构 ,且具有良好的稳定性。模糊控制器结构简单 ,规则少 ,有推广应用价值

Fuzzy Variable Structure Control for Nonlinear Systems and Its Applications

Through approximation with a T-S fuzzy dynamical model, the nonlinear system is fuzzified into a local linear model. A variable structure controller is designed by using Lyapunov theory to assure the stability of the global T-S fuzzy model. It is used in stability controll of two chaotic systems, i.e. Lorenz chaotic system and Rossler chaotic system and the effectiveness of the scheme is proven through simulation. A good stability is achieved, without changing the inner structure of the system being controlled. The fuzzy controller is simple, practicable and involves fewer rules.