期刊
AUTOMATICA
卷 46, 期 5, 页码 949-952出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2010.02.022
关键词
Reachable set; Polytopic uncertainties; Maximal Lyapunov-Krasovskii functional; Delayed systems
资金
- CityU [9360127]
- GRF [CityU 101109]
- National Natural Science Foundation of China [60774039, 60974024]
This paper deals with the problem of reachable set estimation for time delay systems subject to both polytopic parameter uncertainties and bounded peak inputs. The maximal Lyapunov-Krasovskii functional is constructed as the pointwise maximum of a family of Lyapunov-Krasovskii functionals. Each functional corresponds to a vertex of uncertain polytope. Some criteria bounding the reachable set are derived. This approach shows great advantages over the traditional methods based on the common Lyapunov functionals. By introducing a modified integral inequality, the limitation imposed on the derivative of time delay being less than one is relaxed. Furthermore, the obtained results involve less computational burden when the number of vertices of the polytope is small. Two examples are given to illustrate the theoretical results. (C) 2010 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据