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具有 iISS 逆动态的非线性系统的输出反馈调节

赵丛然 解学军

赵丛然, 解学军. 具有 iISS 逆动态的非线性系统的输出反馈调节. 自动化学报, 2012, 38(5): 865-869. doi: 10.3724/SP.J.1004.2012.00865
引用本文: 赵丛然, 解学军. 具有 iISS 逆动态的非线性系统的输出反馈调节. 自动化学报, 2012, 38(5): 865-869. doi: 10.3724/SP.J.1004.2012.00865
ZHAO Cong-Ran, XIE Xue-Jun. Output-feedback Regulation of Nonlinear Systems with iISS Inverse Dynamics. ACTA AUTOMATICA SINICA, 2012, 38(5): 865-869. doi: 10.3724/SP.J.1004.2012.00865
Citation: ZHAO Cong-Ran, XIE Xue-Jun. Output-feedback Regulation of Nonlinear Systems with iISS Inverse Dynamics. ACTA AUTOMATICA SINICA, 2012, 38(5): 865-869. doi: 10.3724/SP.J.1004.2012.00865

具有 iISS 逆动态的非线性系统的输出反馈调节

doi: 10.3724/SP.J.1004.2012.00865
详细信息
    通讯作者:

    解学军, 曲阜师范大学自动化研究所教授. 主要研究方向为随机非线性控制.

Output-feedback Regulation of Nonlinear Systems with iISS Inverse Dynamics

  • 摘要: 研究了具有积分输入状态稳定 (Integral input-to-state stability, iISS)逆动态和未知控制方向的更一般的非线性系统的输出反馈调节问题. 利用自适应反推的方法, 所设计的输出反馈控制器使得闭环系统的输出调节到原点, 并且闭环系统的其他信号有界.
  • [1] Sontag E D. Smooth stabilization implies coprime factorization. IEEE Transactions on Automatic Control, 1989, 34(4): 435-443[2] Sontag E D. Comments on integral variants of ISS. Systems and Control Letters, 1998, 34(1-2): 93-100[3] Sontag E D, Teel A R. Changing supply functions in input-to-state stable systems. IEEE Transactions on Automatic Control, 1995, 40(8): 1476-1478[4] Sontag E D, Wang Y. On characterizations of the input-to-state stability property. Systems and Control Letters, 1995, 24(5): 351-359[5] Sontag E D, Wang Y. New characterizations of input-to-state stability. IEEE Transactions on Automatic Control, 1996, 41(9): 1283-1294[6] Jiang Z P, Mareels I M Y. A small-gain control method for nonlinear cascaded systems with dynamic uncertainties. IEEE Transactions on Automatic Control, 1997, 42(3): 292-308[7] Jiang Z P, Praly L. Design of robust adaptive controllers for nonlinear systems with dynamic uncertainties. Automatica, 1998, 34(7): 825-840[8] Praly L, Jiang Z P. Stabilization by output feedback for systems with ISS inverse dynamics. Systems and Control Letters, 1993, 21(1): 19-33[9] Angeli D, Sontag E D, Wang Y. A characterization of integral input-to-state stability. IEEE Transactions on Automatic Control, 2000, 45(6): 1082-1097[10] Ito H, Jiang Z P. Necessary and sufficient small gain conditions for integral input-to-state stable systems: a Lyapunov perspective. IEEE Transactions on Automatic Control, 2009, 54(10): 2389-2404[11] Ito H. A Lyapunov approach to cascade interconnection of integral input-to-state stable systems. IEEE Transactions on Automatic Control, 2010, 55(3): 702-708[12] Jiang Z P, Mareels I, Hill D J, Huang J. A unifying framework for global regulation via nonlinear output feedback: from ISS to iISS. IEEE Transactions on Automatic Control, 2004, 49(4): 549-562[13] Wu Y Q, Yu J B, Zhao Y. Further results on global asymptotic regulation control for a class of nonlinear systems with iISS inverse dynamics. IEEE Transactions on Automatic Control, 2011, 56(4): 941-946[14] Nussbaum R D. Some remarks on a conjecture in parameter adaptive control. Systems and Control Letters, 1983, 3(5): 243-246[15] Boyd S, El Ghaoui L, Feron E, Balakrishnan V. Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA: SIAM, 1994[16] Yu X, Xie X J. Output feedback regulation of stochastic nonlinear systems with stochastic iISS inverse dynamics. IEEE Transactions on Automatic Control, 2010, 55(2): 304-320[17] Yu X, Xie X J, Duan N. Small-gain control method for stochastic nonlinear systems with stochastic iISS inverse dynamics. Automatica, 2010, 46(11): 1790-1798[18] Yu X, Xie X J, Wu Y Q. Further results on output-feedback regulation of stochastic nonlinear systems with SiISS inverse dynamics. International Journal of Control, 2010, 83(10): 2140-2152[19] Duan N, Yu X, Xie X J. Output feedback control using small-gain conditions for stochastic nonlinear systems with SiISS inverse dynamics. International Journal of Control, 2011, 84(1): 47-56
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出版历程
  • 收稿日期:  2010-01-04
  • 修回日期:  2011-06-22
  • 刊出日期:  2012-05-20

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