Computer Engineering and Applications ›› 2013, Vol. 49 ›› Issue (20): 48-51.

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Guaranteed cost control of complex network with delay. Computer Engineering and Applications

LUO Yiping1,2, LIU Huan1   

  1. 1.College of Information Engineering, Xiangtan University, Xiangtan, Hunan 411105, China
    2.College of Electrical and Information Engineering, Hunan Institute of Engineering, Xiangtan, Hunan 411104, China
  • Online:2013-10-15 Published:2013-10-30

时滞复杂动态网络的保性能控制

罗毅平1,2,刘  欢1   

  1. 1.湘潭大学 信息工程学院,湖南 湘潭 411105
    2.湖南工程学院 电气信息学院,湖南 湘潭 411104

Abstract: The guaranteed cost control problem of some general complex dynamical networks with time delay is investigated. A sufficient condition for the existence of guaranteed cost controller for complex network with time delay is derived in terms of Lyapunov stability theory and Linear Matrix Inequalities(LMI). The state feedback controller with gain perturbations is designed to achieve the asymptotic stability of the system, meanwhile, guarantee system performance satisfying certain requirements. A numerical example is given to demonstrate the feasibility of proposed method.

Key words: time delay, complex network, guaranteed cost control

摘要: 针对具有时滞的复杂网络,研究了此类系统的保性能控制问题。利用Lyapunov稳定性定理和线性矩阵不等式工具,得到了时滞复杂网络保性能控制存在的充分条件。设计的具有增益摄动的状态反馈控制器,既可以保证系统渐近稳定,又可使系统的性能指标满足一定的要求,最后通过数值算例验证了设计方法的可行性。

关键词: 时滞, 复杂网络, 保性能控制