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计算机工程

• 移动互联与通信技术 • 上一篇    下一篇

时滞复杂网络系统的保性能控制

罗毅平,周笔锋   

  1. (湖南工程学院电气信息学院,湖南湘潭411101)
  • 收稿日期:2014-05-15 出版日期:2015-04-15 发布日期:2015-04-15
  • 作者简介:罗毅平(1966 - ),男,教授、博士生导师,主研方向:复杂网络控制,分布参数系统控制,电网故障诊断;周笔锋,硕士研究生。
  • 基金资助:
    国家自然科学基金资助项目“时滞脉冲抛物型分布参数动力系统的稳定与控制”(11372107);国家自然科学基金资助项目 “参数不确定时滞复杂网络动力系统的保性能控制”(61174211)。

Guaranteed Cost Control of Complex Network System with Delay

LUO Yiping,ZHOU Bifeng   

  1. (College of Electrical & Information Engineering,Hunan Institute of Engineering,Xiangtan 411101,China)
  • Received:2014-05-15 Online:2015-04-15 Published:2015-04-15

摘要: 具有复杂网络特性的系统广泛存在于自然界与人类社会中,考虑到该类系统的信息在传输过程中存在的时滞现象,研究具有时滞的复杂网络系统保性能控制问题。对该系统设计动态反馈控制器,构造保性能函数,利用Lyapunov-krasovskii 稳定性理论,结合矩阵不等式的凸优化问题处理方法,得出具有时滞性复杂网络系统保性能控制器存在的充分条件,同时给出求解最小上限的二次保性能函数的方法。设计的动态反馈控制器不仅能使系统渐近稳定,而且同时可使系统的性能指标满足一定的要求,而对已给定保性能上界的系统,控制器参数可在满足定理条件下计算得到。最后给出数值仿真示例证明其有效性。

关键词: 复杂网络, 时滞, 保性能, 动态反馈控制器, 矩阵不等式

Abstract: The system which has complex network characteristic is widespread in natural and human society,considering the time-delay phenomenon during the information transmission,the problem of guaranteed cost for a complex network with delay is investigated. Designing a dynamic feedback controller and constructing a guaranteed cost control function,based on Lyapunov-krasovskii stability theory,combined with convex optimization of matrix inequality,a sufficient condition for the xistence of the guaranteed cost controller with time delay in complex network systems is obtained,and the least upper bound for the quadratic cost function method is gained. The dynamic feedback controller is designed to ensure the asymptotic stability conditions of the system and it makes the perfor mance index of the system meet certain requirements. For the system is given the upper bound of the guaranteed cost,the design of controller parameters can be obtained on the condition of the theorem. Finally,a numerical example is given to demonstrate the feasibility of proposed method.

Key words: complex network, delay, guaranteed cost, dynamic feedback controller, matrix inequality

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