时变时滞奇异摄动Lurie系统的控制器设计  

Controller Design of Singularly Perturbed Lurie Systems with Time-Varying Delay

作　　者：孙凤琪[1] SUN Fengqi(Department of Mathematics,Jilin Normal University,Siping 136000,China)

机构地区：[1]吉林师范大学数学学院

出　　处：《吉林大学学报（信息科学版）》2019年第5期476-481,共6页Journal of Jilin University（Information Science Edition）

基　　金：国家自然科学基金资助项目(61741318)

摘　　要：为进一步加强对洛尔系统的鲁棒控制,基于前期稳定性分析理论基础上,研究含有不确定性结构的时变时滞奇异摄动Lurie系统在扇形区域[V1,V2]内的控制器设计问题。通过构造新的李雅普诺夫泛函利用新的交叉项界定法,由Lurie系统的特性,设计含有不确定性结构的时变时滞奇异摄动Lurie系统在一般的扇形区域[V1,V2]内的状态反馈控制器,推出时滞依赖和时滞独立两种情形下新的状态反馈控制率。最后,通过数值样例证明所设计方法的有效性和可行性。To further strengthen the robust control of Lurie system, based on the early theoretical study, a controller design theory for Lurie systems with time-varying delay uncertainty is discussed with the application of the new cross-term definition method. By constructing a new Lyapunov functional and following the characteristics of Lurie system, the new feedback controllers are designed for singularly perturbed Lurie systems with uncertain time-varying delay in the sector region [V1,V2], and the state feedback control laws of time-delay dependent and time-delay independent are deduced. Finally, the feasibility and effectiveness are illustrated by the correspanding numerical example.

关 键 词：LURIE系统 强绝对稳定性 状态反馈控制律 交叉项界定法 时滞依赖 时滞独立 Lyapunov-Krasovskii泛函(L-K泛函) 线性矩阵不等式(LMI) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]