一类非线性离散时滞系统的H_∞输出反馈控制  

H_∞ output feedback control for a class of nonlinear discrete-time systems with time delays

作　　者：吴加为[1] 王武[1,2] 蔡逢煌[1] 杨富文[3] 

机构地区：[1]福州大学电气工程与自动化学院,福建福州350108 [2]福建省医疗器械和医药技术重点实验室,福建福州350002 [3]华东理工大学信息科学与工程学院,上海200237

出　　处：《福州大学学报（自然科学版）》2009年第4期525-530,共6页Journal of Fuzhou University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60604027);福建省自然科学基金资助项目(2007J0018;2008J0191)

摘　　要：研究一类具有扇形非线性约束的非线性离散时滞系统的H∞动态输出反馈控制问题.对于所有容许的时滞和扇形非线性,基于Finsler引理和S-过程给出了使得闭环系统渐近稳定且满足H∞抗干扰衰减水平的动态输出反馈控制器存在的时滞独立的充分条件.通过求解相应的线性矩阵不等式可以得到控制器参数.数值仿真表明了设计方法的有效性.The dynamic output feedback H. control problem for a class of state - delayed nonlinear discrete -time systems with sector nonlinear inequalities constraint is investigated. By means of Finsler＇ s Lemma and S - procedure, for all admissible time delays as well as sector nonlinearities, a delay - independent sufficient condition of the design of the dynamic output feedback controllers, such that the resulting closed - loop system is asymptotically stable and achieving the prescribed H∞ disturbance rejection attenuation level, is derived, and the controller parameters are obtained by solving a linear matrix inequality （LMI）. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.

关 键 词：离散系统 H∞输出反馈控制 扇形非线性 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]