吉林大学学报(信息科学版) ›› 2019, Vol. 37 ›› Issue (5): 476-481.

• • 上一篇    下一篇

时变时滞奇异摄动Lurie系统的控制器设计

孙凤琪   

  1. 吉林师范大学数学学院,吉林四平136000
  • 出版日期:2019-09-24 发布日期:2019-12-23
  • 作者简介:孙凤琪( 1968— ) ,女,吉林桦甸人,吉林师范大学教授,主要从事时滞奇异摄动控制系统研究,(Tel) 86-13604346519( E-mail) 1092748497@ qq. com。
  • 基金资助:
    国家自然科学基金资助项目( 61741318)

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

SUN Fengqi   

  1. Department of Mathematics,Jilin Normal University,Siping 136000,China
  • Online:2019-09-24 Published:2019-12-23

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。

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)

Abstract: 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.

Key words: lurie systems, strongly absolute stability, state feedback control law, cross terms defined method, delay-dependent, delay-independent, lyapunov-krasovskii functional ( L-K ) , linear matrix inequality ( LMI)

中图分类号: 

  • TP13