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| 具有区间时变时滞2-D 离散系统的时滞相关稳定与控制 | |
| 引用本文： | 彭丹 华长春 王春艳 张磊. 具有区间时变时滞2-D 离散系统的时滞相关稳定与控制[J]. 控制与决策, 2014, 29(6): 1041-1046 |
| 作者姓名： | 彭丹 华长春 王春艳 张磊 |
| 作者单位： | 燕山大学理学院;燕山大学电气工程学院;秦皇岛职业技术学院机电工程系 |
| 基金项目： | 国家自然科学基金项目(61290322,61273222,61322303);河北省杰出青年基金项目(F2011203110);河北省自然科学基金项目(F2013203186);河北省高等学校青年基金项目(Q2012044);燕山大学青年教师自主研究计划课题(13LGA020) |
| 摘 要： | 针对具有区间时变时滞2-D离散系统,利用时滞相关方法,研究其稳定性与控制问题.首先选取含有时滞项上、下界的一个新的Lyapunov函数,对其差分时考虑所有项,得到了基于线性矩阵不等式(LMI)的时滞相关稳定性准则;然后给定时变时滞项的下界,再由一个凸优化问题最大化其上界,进而通过状态反馈实现系统的时滞相关控制,且求解LMI可得到增益矩阵;最后,利用数值算例说明了所得结果有效且优于已有成果. |
| 关 键 词： | -D离散系统 区间时变时滞 时滞相关 状态反馈 线性矩阵不等式 |
| 收稿时间： | 2013-05-02 |
| 修稿时间： | 2013-11-22 |
Delay-dependent stability and control of 2-D discrete systems with interval time-varying delays |
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| PENG Dan HUA Chang-chun WANG Chun-yan ZHANG Lei. Delay-dependent stability and control of 2-D discrete systems with interval time-varying delays[J]. Control and Decision, 2014, 29(6): 1041-1046 | |
| Authors: | PENG Dan HUA Chang-chun WANG Chun-yan ZHANG Lei |
| Affiliation: | PENG Dan;HUA Chang-chun;WANG Chun-yan;ZHANG Lei;College of Science,Yanshan University;Institute of Electrical Engineering,Yanshan University;Department of Electrical and Mechanical Engineering,Qinhuangdao Institute of Technology; |
| Abstract: | For 2-D discrete systems with interval time-varying delays, by applying delay-dependent method, the stability and control problems are studied. Firstly, a new Lyapunov functional containing the upper and lower bounds of delays is chosen. Considering all terms in the difference, a new delay-dependent stability criteria based on linear matrix inequalities(LMIs) is derived. Then the lower bounds of time-varying delays are given, and the upper bounds can be maximized through a convex optimization problem. Furthermore, the delay-dependent control is realized through state feedback and the gain matrix can be obtained through solving LMIs. Finally, numerical examples show that the obtained results are effective and better than the existing achievements. |
| Keywords: | 2-D discrete systems|interval time-varying delays|delay-dependent|state feedback|linear matrix inequality |
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