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具有多项式型非线性项的大规模随机非线性系统的分散输出反馈镇定

井元伟 李武全 张嗣瀛

井元伟, 李武全, 张嗣瀛. 具有多项式型非线性项的大规模随机非线性系统的分散输出反馈镇定. 自动化学报, 2012, 38(6): 951-958. doi: 10.3724/SP.J.1004.2012.00951
引用本文: 井元伟, 李武全, 张嗣瀛. 具有多项式型非线性项的大规模随机非线性系统的分散输出反馈镇定. 自动化学报, 2012, 38(6): 951-958. doi: 10.3724/SP.J.1004.2012.00951
JING Yuan-Wei, LI Wu-Quan, ZHANG Si-Ying. Decentralized Output-feedback Stabilization of Large-scale Stochastic Nonlinear Systems with Polynomial Nonlinearity. ACTA AUTOMATICA SINICA, 2012, 38(6): 951-958. doi: 10.3724/SP.J.1004.2012.00951
Citation: JING Yuan-Wei, LI Wu-Quan, ZHANG Si-Ying. Decentralized Output-feedback Stabilization of Large-scale Stochastic Nonlinear Systems with Polynomial Nonlinearity. ACTA AUTOMATICA SINICA, 2012, 38(6): 951-958. doi: 10.3724/SP.J.1004.2012.00951

具有多项式型非线性项的大规模随机非线性系统的分散输出反馈镇定

doi: 10.3724/SP.J.1004.2012.00951
详细信息
    通讯作者:

    李武全,鲁东大学讲师.2011年获得东北大学信息科学与工程学院博士学位.主要研究方向为随机控制.

Decentralized Output-feedback Stabilization of Large-scale Stochastic Nonlinear Systems with Polynomial Nonlinearity

  • 摘要: 基于齐次占优方法研究 具有多项式型非线性项的大规模随机非线性系统的分散输出反馈镇定问题. 本文的主要贡献在于利用高增益齐次占优方法来解决大规模随机非线性系统的分散控制问题. 这种方法能彻底地去掉传统结果中所要求的线性增长条件, 不仅推广了以前的结果还得到了一些新的结果. 仿真验证了输出反馈控制器的有效性.
  • [1] Polendo J, Qian C J. Decentralized output feedback control of interconnected systems with high-order nonlinearities. In: Proceedings of the 2007 American Control Conference. New York, USA: IEEE, 2007. 1479-1484[2] Has'minskii R Z. Stochastic Stability of Differential Equations. Massachusetts: Kluwer Academic Publishers, 1980[3] Liu L, Duan N, Xie X J. Output-feedback stabilization for stochastic high-order nonlinear systems with a ratio of odd integers power. Acta Automatica Sinica, 2010, 36(6): 858-864[4] Ma L, Da F P, Wu L Y. Delayed-state-feedback exponential stabilization of stochastic Markovian jump systems with mode-dependent time-varying state delays. Acta Automatica Sinica, 2010, 36(11): 1601-1610[5] Li W, Jing Y, Zhang S. Decentralised stabilisation of a class of large-scale high-order stochastic non-linear systems. IET Control Theory and Applications, 2010, 4(11): 2441-2453[6] Li W Q, Xie X J. Inverse optimal stabilization for stochastic nonlinear systems whose linearizations are not stabilizable. Automatica, 2009, 45(2): 498-503[7] Tian J, Xie X J. Adaptive state-feedback stabilization for high-order stochastic nonlinear systems with time-varying control coefficients. Acta Automatica Sinica, 2008, 34(9): 1188-1191[8] Deng H, Krstic M. Output-feedback stochastic nonlinear stabilization. IEEE Transactions on Automatic Control, 1999, 44(2): 328-333[9] Wu Z J, Xie X J, Zhang S Y. Adaptive backstepping controller design using stochastic small-gain theorem. Automatica, 2007, 43(4): 608-620[10] Liu S J, Zhang J F. Output-feedback control of A class of stochastic nonlinear systems with linearly bounded unmeasurable states. International Journal of Robust and Nonlinear Control, 2008, 18(6): 665-687[11] Xie X J, Li W Q. Output-feedback control of a class of high-order stochastic nonlinear systems. International Journal of Control, 2009, 82(9): 1692-1705[12] Li W Q, Jing Y W, Zhang S Y. Output-feedback stabilization for stochastic nonlinear systems whose linearizations are not stabilizable. Automatica, 2010, 46(4): 752-760[13] Xie S L, Xie L H. Decentralized stabilization of a class of interconnected stochastic nonlinear systems. IEEE Transactions on Automatic Control, 2000, 45(1): 132-137[14] Arslan G, Basar T. Decentralized risk-sensitive controller design for strict-feedback systems. Systems and Control Letters, 2003, 50(5): 383-393[15] Liu S J, Zhang J F, Jiang Z P. Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems. Automatica, 2007, 43(2): 238-251[16] Qian C J. A homogeneous domination approach for global output-feedback stabilization of a class of nonlinear systems. In: Proceedings of the 2005 American Control Conference. Portland, OR, USA: IEEE, 2005. 4708-4715
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出版历程
  • 收稿日期:  2010-03-19
  • 修回日期:  2011-03-02
  • 刊出日期:  2012-06-20

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