一类模糊跳变系统的采样控制器设计

针对含有马尔可夫跳变参数的模糊系统,采用多李亚普诺夫函数方法,设计采样控制器,保证模糊跳变系统指数均方稳定和随机稳定。为便于工程应用,考虑到控制系统多为数字控制系统,计算机的输入、输出控制信号是数字信号,而被控对象常为连续时间系统,文中采用离散的控制器控制连续的被控对象。系统模型中的每个跳变模态对应的子系统均是T-S模糊系统,对每个模糊子系统采用平行分布补偿的控制方法,保证子系统渐近稳定。控制器的求解等效为线性矩阵不等式的可解性问题,便于求解。数值仿真结果验证了方法的可行性和有效性。

Sampled-data controller design for a class of fuzzy jump systems

A sampled-data controller design method is proposed for a class of fuzzy systems with Markovian jump parameters by using multiple Lyapunov functions.This kind of controller guarantees the exponentially mean square stability and the stochastic stability of the closed-loop system.In terms of engineering application,the discrete-time controller and continuous-time controlled object are considered.In the model of systems,each jump mode is formulated by a T-S fuzzy model to which a parallel distributed compensation controller is proposed.Each fuzzy subsystem is also guaranteed to be asymptotically stable.The solvability condition of the above controller can be equivalent to the feasibility problem of coupled linear matrix inequalities(LMIs) which can be solved efficiently by available software toolbox.Finally,a numerical example is given to verify the feasibility and effectiveness of the proposed method.