Model reference robust adaptive decentralized control of large-scale systems with time delay

被引:0
|
作者
Xiao X.-S. [1 ]
Mao Z.-Z. [1 ]
机构
[1] Automation Institute, College of Information Science and Engineering, Northeastern University
关键词
Decentralized control; Linear matrix inequality (LMI); Model reference; Robust adaptive control; Time-delay large-scale system;
D O I
10.3969/j.issn.1001-506X.2011.11.30
中图分类号
学科分类号
摘要
Based on Lyapunov-Krasovskii (L-K) functional method, by using linear matrix inequality (LMI) technique and adaptive control approach, a decentralized robust adaptive model reference controller is designed for a class of uncertain large-scale systems with time-varying delay. The rigorous matching condition which is generally used in model reference control is not required in the delay-independent control design and the local state feedback gains are given by LMI, which gives facilities for searching its numerical solution on computer and optimizing the performance specifications. In order to avoid the problem of persistent increasing of adaptive parameters, the dead-zone adaptive algorithm is proposed. Finally, a simulation example is given to show the correctness and effectiveness of the proposed scheme.
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收藏
页码:2501 / 2505
页数:4
相关论文
共 19 条
  • [1] Wu H.S., Decentralized adaptive robust control for a class of large-scale systems including delayed state perturbation in the interconnections, IEEE Trans. on Automatic Control, 47, 10, pp. 1745-1751, (2002)
  • [2] Mahmoud M.S., Decentralized stabilization of interconnected systems with time-varying delays, IEEE Trans. on Automatic Control, 54, 11, pp. 2663-2669, (2009)
  • [3] Liu X.R., Zhang H.G., Dai J., Delay-dependent robust and reliable H<sub>∞</sub> fuzzy hyperbolic decentralized control for uncertain nonlinear interconnected systems, Fuzzy Sets and Systems, 161, 6, pp. 872-892, (2010)
  • [4] Liu X.W., Zhang H.B., Delay-dependent robust stability of uncertain fuzzy large-scale systems with time-varying delays, Automatica, 44, 1, pp. 193-198, (2008)
  • [5] Hua C.C., Wang Q.G., Guan X.P., Exponential stabilization controller design for interconnected time delay systems, Automatica, 44, 10, pp. 2600-2606, (2008)
  • [6] Tang G.Y., Li C., Sun L., Optimal tracking control for large-scale interconnected systems with time-delays, Computer and Mathematics with Applications, 53, 1, pp. 80-88, (2007)
  • [7] Liu X.R., Zhang H.G., Sample-data decentralized reliable H<sub>∞</sub> hyperbolic control for uncertain fuzzy large-scale systems with time-varying delay, Acta Automatica Sinica, 35, 12, pp. 1534-1540, (2009)
  • [8] Hsiao F.H., Xu S.D., Lin C.Y., Et al., Robustness design of fuzzy control for nonlinear multiple time-delay large-scale systems via neural-network-based approach, IEEE Trans. on Systems, Man, Cybernetics, Part B: Cybernetics, 38, 1, pp. 244-251, (2008)
  • [9] Chen N., Zhang X.F., Gui W.H., Et al., Robust decentralized Hinfinity control of multi-channel uncertain time-delay systems: An LMI approach, Control Theory and Applications, 25, 2, pp. 247-252, (2008)
  • [10] Zhao P., Liu S.J., Adaptive stabilization control of a class of large-scale stochastic nonlinear systems with time-delays and unknown virtual control coefficients, Acta Automatica Sinica, 34, 8, pp. 912-920, (2008)