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一类多输入非线性系统的同时H镇定

蔡秀珊 高虹 刘洋

蔡秀珊, 高虹, 刘洋. 一类多输入非线性系统的同时H∞镇定. 自动化学报, 2012, 38(3): 473-478. doi: 10.3724/SP.J.1004.2012.00473
引用本文: 蔡秀珊, 高虹, 刘洋. 一类多输入非线性系统的同时H镇定. 自动化学报, 2012, 38(3): 473-478. doi: 10.3724/SP.J.1004.2012.00473
CAI Xiu-Shan, GAO Hong, LIU Yang. Simultaneous H∞ Stabilization for a Class of Multi-input Nonlinear Systems. ACTA AUTOMATICA SINICA, 2012, 38(3): 473-478. doi: 10.3724/SP.J.1004.2012.00473
Citation: CAI Xiu-Shan, GAO Hong, LIU Yang. Simultaneous H Stabilization for a Class of Multi-input Nonlinear Systems. ACTA AUTOMATICA SINICA, 2012, 38(3): 473-478. doi: 10.3724/SP.J.1004.2012.00473

一类多输入非线性系统的同时H镇定

doi: 10.3724/SP.J.1004.2012.00473
详细信息
    通讯作者:

    蔡秀珊, 浙江师范大学数理与信息工程学院教授.主要研究方向为非线性控制理论与运用. E-mail:xiushan@zjnu.cn

Simultaneous H Stabilization for a Class of Multi-input Nonlinear Systems

  • 摘要: 研究了一类多输入非线性系统同时H∞镇定问题. 提出了可系统地构造公共二次控制储能函数(Control storage function, CSF)的方法. 基于公共二次控制储能函数,设计了可同时H∞镇定闭环系统的连续控制律. 通过一个例子说明了本文所提出方法的有效性.
  • [1] Blondel V. Simultaneous Stabilization of Linear Systems. New York: Springer, 1994[2] Petersen I. A procedure for simultaneously stabilizing a collection of single input linear systems using non-linear state feedback control. Automatica, 1987, 23(1): 33-40[3] Ho-Mock-Qai B, DayawansaW. Simultaneous stabilization of linear and nonlinear systems by means of nonlinear state feedback. SIAM Journal on Control and Optimization, 1999, 37(6): 1701-1725[4] Wu J. Simultaneous stabilization for a collection of single-input nonlinear systems. IEEE Transactions on Automatic Control, 2005, 50(3): 328-337[5] Cai Xiu-Shan, Han Zheng-Zhi, Zhang Wei. Simultaneous stabilization for a collection of multi-input nonlinear systems with uncertain parameter. Acta Automatica Sinica, 2009, 35(2): 206-209[6] Savkin A V. Simultaneous H∞ control of a finite collection of linear plants with a single nonlinear digital controller. Systems and Control Letters, 1998, 33(5): 281-289[7] Miller D E, Chen T. Simultaneous stabilization with near optimal H∞ performance. IEEE Transactions on Automatic Control, 2002, 47(12): 1986-1998[8] Lee P H, Soh Y C. Simultaneous H∞ stabilization. International Journal of Control, 2004, 77(2): 111-117[9] Wu J. Simultaneous H∞ control for nonlinear systems. IEEE Transactions on Automatic Control, 2009, 54(3): 606-610[10] Artstein Z. Stabilization with relaxed controls. Nonlinear Analysis, 1983, 7(11): 1163-1173[11] Sontag E. A "universal" construction of Artstein's theorem on nonlinear stabilization. Systems and Control Letters, 1989, 13(2): 117-123[12] Cai X S, Han Z Z, Wang X. An analysis and design method for systems with structural uncertainty. International Journal of Control, 2006, 79(12): 1647-1653[13] Cai X S, Liu L P, Zhang W. Saturated control design for linear differential inclusions subject to disturbance. Nonlinear Dynamics, 2009, 58(3): 487-496[14] Cai Xiu-Shan. Robust stabilization for nonlinear differential inclusion systems subject to disturbances. Acta Automatica Sinica, 2010, 36(9): 1327-1331[15] Cai X S, Han Z Z, Huang J. Stabilization for a class of non-linear systems with uncertain parameter based on center manifold. IET Control and Applications, 2010, 4(9): 1558-1568
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出版历程
  • 收稿日期:  2011-01-13
  • 修回日期:  2011-04-27
  • 刊出日期:  2012-03-20

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