东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2009, Vol. 30 ›› Issue (4): 471-474.DOI: -

• 论著 • 上一篇    下一篇

一类非线性切换系统的非脆弱鲁棒H_∞控制

李莉莉;冯佳昕;赵军;   

  1. 东北大学流程工业综合自动化教育部重点实验室;上海财经大学信息管理与工程学院;
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2009-04-15 发布日期:2013-06-22
  • 通讯作者: Li, L.-L.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(90816028;60874024)

Non-fragile robust H∞ control for a class of switched nonlinear systems

Li, Li-Li (1); Feng, Jia-Xin (2); Zhao, Jun (1)   

  1. (1) Key Laboratory of Integrated Automation of Process Industry Ministry of Education, Northeastern University, Shenyang 110004, China; (2) School of Information Management and Engineering, Shanghai University of Finance and Economics, Shanghai 200433, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2009-04-15 Published:2013-06-22
  • Contact: Li, L.-L.
  • About author:-
  • Supported by:
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摘要： 针对一类不确定非线性切换系统,在控制器存在摄动的情况下,给出了非脆弱状态反馈控制器和切换律的设计方案.利用多Lyapunov函数方法,通过子系统之间的切换,使系统对所有允许的不确定性渐近稳定且具有H∞性能界.该问题可解的充分条件不依赖于Hamilton-Jacobi不等式,所提出的方法不要求任何一个子系统渐近稳定.作为应用,当单一的连续控制器难以实现时,借助混杂状态反馈策略,讨论了非切换不确定非线性的非脆弱鲁棒H∞控制问题.最后用一个例子验证了结论的有效性.

关键词: 非线性切换系统, H∞控制, 多Lyapunov函数, 非脆弱控制, 鲁棒控制

Abstract: The non-fragile robust H∞ control problem is investigated for a class of uncertain switched nonlinear systems with additive gain variations. A design scheme is then given to the non-fragile feedback controllers with their switching law proposed. With the multiple Lyapunov functions used, the switching between subsystems makes the switched nonlinear systems asymptotically stable with H∞-norm bound for all allowable uncertainties. Thus, the sufficient condition solvable to the problem doesn't depend on the Hamilton-Jacobi inequalities. This method is suitable for the case where none of subsystems is asymptotically stable. Then, as a special application, a feedback strategy is proposed to solve the standard non-fragile robust H∞ control problem for non-switched nonlinear systems when no single continuous controller is effective. An example is given to verify the effectiveness of the proposed method.

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