基于非线性时滞系统与时滞相关的H_∞控制  

Robust H_∞ control for a class nonlinear delay via state feedback

作　　者：辛云冰[1] 

机构地区：[1]集美大学理学院,福建厦门321021

出　　处：《安徽大学学报（自然科学版）》2012年第2期15-18,共4页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10771001);福建省自然科学基金资助项目(A0440005)

摘　　要：考虑非线性时滞系统的H∞控制,并对非线性项给出了一个新假设,在其假设下利用线性矩阵不等式方法得到了与时滞相关的H∞控制,同时也得到了该类非线性时滞系统鲁棒镇定的充分条件.The state feedback control stabilization and robust H∞control problem for a class of nonlinear delay systems were considered. According to the nonlinear term f（x （t） ,x （ t - τ）, t） of system, the suitable assumption was given. Under the assumption, using the LMI approach the sufficient condition of the robust stabilizability was presented fox the nonlinear delay system. And the existence condition of optimization control was studied based on the Hamilton differential inequality method.

关 键 词：非线性时滞系统 时滞相关 鲁棒镇定 H∞控制 

分 类 号：O175[理学—数学]