不确定奇异中立型系统的时滞依赖H_∞保成本控制  

Delay-dependent Guaranteed Cost H_∞ Control for Singular Neutral Type System with Uncertain and Time-varying Delays

作　　者：巩娟 

机构地区：[1]辽宁职业学院,辽宁铁岭112099

出　　处：《辽宁工业大学学报（自然科学版）》2015年第5期336-343,共8页Journal of Liaoning University of Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(61273004)

摘　　要：主要研究了带有变时滞的奇异连续中立系统的保成本H∞控制器的设计。通过利用奇异系统理论,构造新的lyapunov泛函,基于线性矩阵不等式的技术,给出了系统镇定的判据。进而,只需要求解线性矩阵不等式,就可解得奇异中立系统的H∞鲁棒保成本控制器,使闭环系统保成本函数对给定的不确定参数都有上界。在文章的最后,通过数字算例说明了该方法的有效性。This paper considers the continuous generalized neutral singular system with time-varying delays. The state feedback controller is designed with H∞ guaranteed cost, and the controller depends on the time-varying delay. By using the theory of generalized systems, constructing the new lyapunov function, and using linear matrix inequality, the criteria of guaranteed performance index is given. Under the condition of robust stabilization system, only the linear matrix inequality is solved, the generalized neutral systems robust guaranteed cost controller can be solved, the closed-loop system＇s guaranteed cost functions of upper and lower bounds of the uncertain parameters are given. At last, an example is given to prove the potential of the proposed method.

关 键 词：变时滞 鲁棒控制 线性矩阵不等式 保成本 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]