具有输入约束的模糊Markov跳变系统H_∞控制  

H_∞ control with constrained input for fuzzy Markov jump systems

作　　者：陈珺[1] 刘飞[1] 

机构地区：[1]江南大学自动化研究所,江苏无锡214122

出　　处：《系统工程与电子技术》2007年第11期1917-1921,共5页Systems Engineering and Electronics

基　　金：国家自然科学基金(60574001);新世纪优秀人才支持计划(05-0485)资助课题

摘　　要：针对由Takagi-Sugeno模糊模型描述的非线性Markov跳变系统,讨论其在控制输入受约束情况下的H∞控制问题。基于不变集理论,通过模态依赖的椭圆状态集合,实现对控制输入的范数约束,并提出使得模糊跳变系统随机稳定且满足一定输入输出H∞增益的模态依赖的控制器存在条件。结合线性矩阵不等式变换,给出状态反馈最优H∞控制器的设计方法,仿真示例说明了设计方法的有效性。For a class of nonlinear Markov jump systems represented by Takagi-Sugeno fuzzy models, the H∞ control problem with constrained input is discussed. Based on the invariant set theory, the norm-bounded constraint is imposed on the control input by means of mode-dependent ellipsoid state space. The sufficient condition for the existence of mode-dependent state feedback H∞ controller is given. By applying linear matrix inequality, the optimal constrained H∞ controller is also derived. A numerical example is used to illustrate the effectiveness of the design procedure.

关 键 词：MARKOV跳变系统 模糊模型 约束控制 H∞控制 线性矩阵 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]