带有非线性扰动的非脆弱奇异时变时滞系统的保性能控制  

Non-fragile Guaranteed Cost Control for a Class of Uncertain Singular Time-varying Delay Systems with Nonlinear Perturbation

作　　者：尚阿曼[1] 吴保卫[1] 刘丽丽[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《陕西科技大学学报（自然科学版）》2012年第2期94-99,共6页Journal of Shaanxi University of Science & Technology

基　　金：国家自然科学基金项目(10971123);陕西省自然科学基础研究计划项目(SJ08A20)

摘　　要：针对一类带有非线性扰动的奇异时变时滞系统,研究了其非脆弱保性能控制问题,并运用Lyapunov稳定性理论和LMI方法,得出了系统非脆弱保性能控制律存在的充分条件和设计方法.对所有容许的不确定性,所设计的非脆弱保性能控制律不仅使得相应的闭环系统是渐近稳定的,并且使得闭环性能指标有性能上界.最后,结合仿真实例来说明所得方法的可行性.The non-fragile guaranteed cost control problem is studied in this paper for a class of uncertain singular time-varying delay systems with nonlinear perturbation. Based on the Lyapunov stability theory and LMI approach, sufficient conditions for the existence of the non-fragile control law are given, and the design procedure is presented. The designed con- trol law ensures the stability of the closed-loop systems, and a corresponding upper bound of the closed-loop cost function value is obtained for all admissible uncertainties. Furthermore, a numerical example is given to illustrate the feasibility of the proposed approach.

关 键 词：非线性扰动 非脆弱保性能控制 奇异时变时滞系统 LMI 

分 类 号：TP273.2[自动化与计算机技术—检测技术与自动化装置]