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不确定性统一混沌系统的鲁棒镇定 被引量：2

Robust stabilization of uncertain unified chaotic systems
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摘要 研究了不确定性统一混沌系统的鲁棒镇定问题.基于Lyapunov稳定性理论和线性矩阵不等式,并结合Schur补定理,给出了这类系统鲁棒镇定的充分条件.数值仿真表明了该设计的鲁棒控制的有效性. This paper focuses on the robust stabilization for uncertain unified chaotic systems.Sufficient conditions for robust stabilization are developed in this paper by using Lyapunov stability theory,linear matrix inequality（LMI） techniques and Schur–complement theorem.Numerical simulations are then provided to show the effectiveness and feasibility of the proposed methods.
作者 何平 任小洪 李风焕
机构地区 四川理工学院自动化与电子信息学院 四川理工学院人工智能四川省重点实验室 四川理工学院理学院数学系
出处 《华中师范大学学报（自然科学版）》 CAS CSCD 北大核心 2012年第1期35-39,共5页 Journal of Central China Normal University：Natural Sciences
基金 人工智能四川省重点实验室科研项目(2010RZ002)
关键词 鲁棒镇定 不确定性统一混沌系统 线性矩阵不等式 Schur补定理 robust stabilization uncertain unified chaotic system LMI Schur-complement theorem
分类号 O415.5 [理学—理论物理]
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参考文献16

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同被引文献25

  • 1Han J, Ma Y, Sun H. State observer synchronization used in the three dimensional Dulling System [J]. Mathematical Problems in Engineering, 2014, 2014: 9S6359.
  • 2He P, Jing C, Fan T, et al. Robust decentralized adaptive synchronization of general complex networks with coupling delayed and uncertainties [J]. Complexity, 2014, 19(3) : 10- 26.
  • 3Chen C, Fan T, Wang B, et al. Feedback linearization syn- chronization of unified chaotic systems[J]. Journal of Ap plied Nonlinear Dynamics, 2014, 3(2) : 173-186.
  • 4Nik H S, Ping He, Talebian S T. Optimal, adaptive and sin- gle state feedback control for a 3D chaotic system with goldenproportion equilibria [ J ]. Kybernetika, 2014, 12 ( 12 ) : 175 -201.
  • 5Roopaei M, Sahraei B R, Lin T C. Adaptive sliding mode control in a novel class of chaotic systems[J]. Communica tions in Nonlinear Science and Numerical Simulation, 2010, 15(12) : 4158-4170.
  • 6Yin S, Luo H, Ding S. Real-time implementation of fault tolerant control ystems with performance optimization[J]. IEEE Transactions on Industrial Electronics, 2014, 61 ( 5 ) : 2402-2411. J.
  • 7ing C, He P, Fan T, et al. Single state feedback stabiliza- tion of untied chaotic systems and circuit irnplementation[J]. Open Physics, 2015, 13(1):111-122.
  • 8Yin S, Ding S X, Sari A H A, et al. Data-driven monitoring for stochastic systems and its application on batch process [-J]. International Journal of Systems Science, 2013, 44(7): 1366-1376.
  • 9Yin S, Ding H, Haghani A, et al. A comparison study of basic data-driven fault diagnosis and process monitoring methods on the benchmark Tennessee Eastman process[J].Journal of Process Control, 2012, 22(9):1567-1581.
  • 10Yin S, Yang X, Karimi H R. Data-driven adaptive observer for fault diagnosis[J]. Mathematical Problems in Engineer- ing, 2012, 2012: 1-21.

引证文献2

二级引证文献5

华中师范大学学报（自然科学版）
2012年 第1期

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