时变时滞复杂动态网络的非脆弱性同步保性能控制

doi:10.11772/j.issn.1001-9081.2015.02.0364

计算机应用 ›› 2015, Vol. 35 ›› Issue (2): 364-368.DOI: 10.11772/j.issn.1001-9081.2015.02.0364

时变时滞复杂动态网络的非脆弱性同步保性能控制

罗毅平^1,2, 邓飞^1,2, 周笔锋^1,2

1. 湖南工程学院电气信息学院, 湖南湘潭 411104;
2. 湖南工程学院风电装备与电能变换协同创新中心, 湖南湘潭 411101

收稿日期:2014-08-26 修回日期:2014-10-30 出版日期:2015-02-10 发布日期:2015-02-12
通讯作者: 邓飞
作者简介:罗毅平(1966-),男,湖南衡东人,教授,博士,主要研究方向:复杂网络控制、分布参数系统控制、电网故障诊断; 邓飞(1989-),男,四川巴中人,硕士研究生,主要研究方向:复杂网络控制; 周笔锋(1989-),男,湖南常德人,硕士研究生,主要研究方向:复杂网络控制。
基金资助:
国家自然科学基金资助项目(11372107;61174211)。

Non-fragile synchronous guaranteed cost control for complex dynamic network with time-varying delay

LUO Yiping^1,2, DENG Fei^1,2, ZHOU Bifeng^1,2

1. College of Electrical and Information Engineering, Hunan Institute of Engineering, Xiangtan Hunan 411104, China;
2. Cooperative Innovation Center for Wind Power Equipment and Energy Conversion, Hunan Institute of Engineering, Xiangtan Hunan 411101, China

Received:2014-08-26 Revised:2014-10-30 Online:2015-02-10 Published:2015-02-12

摘要/Abstract

摘要：

针对一类时变时滞复杂网络系统,提出了一种非脆弱性同步保性能控制方法。在假设非线性向量函数f(x)可微条件下,通过Jacobi矩阵方法进行线性化处理,余项满足匹配条件,设计具有增益摄动的非脆弱性状态反馈控制器,以确保当控制器的参数发生小的摄动时,仍能保证控制器的有效性。通过构造合适的Lyapunov-Krasovskii泛函,采用积分等式、矩阵分析、Schur补定理等方法,在给定的保性能指标的条件下,得到了该系统非脆弱性同步保性能控制存在的充分条件;并证明了该条件等价于一组线性矩阵不等式(LMI)的可行性问题, 给出了LMI约束条件下的凸优解构造方法,求出了闭环时变时滞系统保性能值的最小值。最后,通过数值算例对比验证了设计方法的可行性。

关键词: 时变时滞, 复杂动态网络, 非脆弱性, 同步, 保性能控制

Abstract:

A kind of non-fragile synchronization guaranteed cost control method was put forward for a class of time-varying delay complex network system. Under the condition of assuming that the nonlinear vector function f(x) was differentiable, a non-fragile state feedback controller with gaining perturbations was designed through the method of Jacobi matrix linearization with remainder satisfying matching conditions, to ensure that the parameters of controller could still be effective under small perturbation. The sufficient conditions for the existence of non-fragile synchronous guaranteed cost control of this system were obtained by constructing suitable Lyapunov-Krasovskii functional, using integral equation, matrix analysis, theorem of Schur complement and so on. Under the condition of a given insurance performance index, the condition which was equivalent to the feasibility of a set of Linear Matrix Inequality (LMI) problem was shown, and the convex optimization construction method under the condition of LMI constraints was given, and the minimum value of the closed-loop time-varying delay system guaranteed performance value was calculated. Finally, by a numerical example comparison, the feasibility of the design method was verified.

Key words: time-varying delay, complex dynamic network, non-fragile, synchronous, guaranteed cost control

中图分类号:

TP273.3

罗毅平, 邓飞, 周笔锋. 时变时滞复杂动态网络的非脆弱性同步保性能控制[J]. 计算机应用, 2015, 35(2): 364-368.

LUO Yiping, DENG Fei, ZHOU Bifeng. Non-fragile synchronous guaranteed cost control for complex dynamic network with time-varying delay[J]. Journal of Computer Applications, 2015, 35(2): 364-368.

参考文献

[1] DOROGOVTESEEV S N, MENDES J F F. Evolution of networks: from biological nets to the Internet and WWW [M]. New York: Oxford University Press, 2003:7.
[2] LI H. H_∞ cluster synchronization and state estimation for complex dynamical networks with mixed time delays [J]. Applied Mathematical Modelling, 2013,37(12/13):7223-7244.
[3] KARIMI H R. Robust synchronization and fault detection of uncertain master-slave systems with mixed time-varying delays and nonlinear perturbations [J]. International Journal of Control, Automation and Systems, 2011, 9(4): 671-680.
[4] ZHANG C, HE Y, WU M. Exponential synchronization of neural networks with time-varying mixed delays and sampled-data [J]. Neurocomputing, 2010, 74(1/3): 265-273.
[5] WU Z, LIU D, YE Q. Pinning impulsive synchronization of complex-variable dynamical network [J]. Communications in Nonlinear Science and Numerical Simulation, 2015, 20(1): 273-280.
[6] LUO Y, ZHOU B. Guaranteed cost synchronization of complex network systems with delay [J]. Asian Journal of Control, 2015, 17(4): 1-11.
[7] WU X, LIU Y, ZHOU J. Pinning adaptive synchronization of general time-varying delayed and multi-linked networks with variable structures [J]. Neurocomputing, 2015, 147: 492-499.
[8] GUAN Z, LIU Z, FENG G, et al. Synchronization of complex dynamical networks with time-varying delays via impulsive distributes control [J]. IEEE Transactions on Circuits and Systems I: Regular Papers, 2012, 57(8): 2182-2195.
[9] WANG L, SUN Y. Robustness of pinning a general complex dynamical network [J]. Physics Letters A, 2010, 374(15/16): 1699-1703.
[10] LEE T H, PARK J H, JI D H, et al. Guaranteed cost synchronization of a complex dynamical network via dynamic feedback control [J].Applied Mathematics and Computation, 2012, 218(11): 6469-6481.
[11] LUO Y, ZHOU B. Guaranteed cost synchronization of diffusible complex network systems with time delay [J/OL]. Acta Automatica Sinica, [2014-09-18]. http://www.cnki.net/kcms/detail/10.3724/SP.J.1004.201x.xxxxx.htm. (罗毅平, 周笔锋. 时滞扩散性复杂网络同步保性能控制[J/OL]. 自动化学报, [2014-09-18]. http://www.cnki.net/kcms/detail/10.3724/SP.J.1004.201x.xxxxx.html.)
[12] ZHANG D, CAI W, WANG Q. Robust non-fragile filtering for networked systems with distributed variable delays [J]. Journal of the Franklin Institute, 2014, 351(7): 4009-4022.
[13] LUO Y, LIU H. Guaranteed cost control of complex network with delay [J]. Computer Engineering and Applications, 2013, 49(20): 48-51. (罗毅平,刘欢.时变时滞复杂动态网络的保性能控制[J].计算机工程与应用, 2013, 49(20): 48-51.)
[14] WANG X F, CHEN G. Synchronization in scale-free dynamical networks: robustness and fragility [J]. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2002, 49(1): 54-62.
[15] XIE L. Output feedback H_∞ control of systems with parameter uncertainty [J]. International Journal of Control, 1999, 63(4): 741-750.
[16] BOYD S, EI GHAOUI L, FERON E, et al. Linear matrix inequalities in system and control theory [M]. Philadelphia: Society or Industrial and Applied Mathematics, 1994: 7-10.

时变时滞复杂动态网络的非脆弱性同步保性能控制

Non-fragile synchronous guaranteed cost control for complex dynamic network with time-varying delay

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