东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2011, Vol. 32 ›› Issue (12): 1680-1683.DOI: -

• 论著 • 上一篇    下一篇

基于HJI微分不等式的非线性不确定奇异系统鲁棒镇定

沙成满;李岩;杨冬梅;   

  1. 东北大学资源与土木工程学院;东北大学理学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    辽宁省自然科学基金资助项目(20102058)

Robust stabilization for a class of uncertain nonlinear singular systems based on HJI differential inequality

Sha, Cheng-Man (1); Li, Yan (2); Yang, Dong-Mei (2)   

  1. (1) School of Resources and Civil Engineering, Northeastern University, Shenyang 110819, China; (2) School of Sciences, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Li, Y.
  • About author:-
  • Supported by:
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摘要： 研究了在模有界约束条件下的一类带有不确定性的非线性奇异系统的鲁棒镇定问题.将非奇异不确定非线性系统的鲁棒镇定研究方法扩展到奇异系统范畴,给出了此类系统在Lyapunov意义下的鲁棒镇定概念,得到了系统鲁棒镇定的充分必要条件.结果说明在模有界条件下,非线性不确定奇异系统的鲁棒可镇定性与一个扩展的Hamilton-Jacobi-Isaacs(HJI)微分不等式存在正解等价.

关键词: 非线性奇异系统, 不确定性, 模有界条件, 鲁棒镇定, HJI微分不等式

Abstract: Robust stabilization for a class of uncertain nonlinear singular systems with the norm-bounded condition is studied. The methods for robust stabilization of uncertain non-singular nonlinear systems are extended to singular systems. The concept of robust stabilization is defined in the sense of Lyapunov. A necessary and sufficient condition under which the systems are robustly stabilizable is obtained. Under the norm-bounded condition the robust stabilizability of uncertain nonlinear singular systems is shown to be equivalent to the existence of a positive solution of an extended Hamilton-Jacobi-Isaacs differential inequality.

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