| 凸锥型不确定线性切换系统的二次镇定 |
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| 引用本文： | 孙文安,赵 军. 凸锥型不确定线性切换系统的二次镇定[J]. 控制理论与应用, 2005, 22(5): 790-793 |
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| 作者姓名： | 孙文安 赵 军 |
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| 作者单位： | 东北大学教育部流程工业综合自动化重点实验室信息科学与工程学院,辽宁,沈阳,110004;东北大学教育部流程工业综合自动化重点实验室信息科学与工程学院,辽宁,沈阳,110004 |
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| 基金项目： | 国家自然科学基金资助项目(60274009)，高等学校博士学科点专项科研基金资助(20020145007)，辽宁省自然科学基金(20032020)资助项目 |
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| 摘 要： | 研究具有凸锥型不确定性的线性切换系统的二次鲁棒稳定化问题.这种不确定性是由若干已知常数矩阵所张成的凸锥构成的.利用凸组合技术,分别给出了连续和离散线性切换系统的鲁棒二次可稳定条件及切换律的设计方法.按照这些条件,只要判断张成凸锥的顶点矩阵的某个凸组合是否可稳即可.最后给出仿真例子.
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| 关 键 词： | 切换系统 二次镇定 凸锥型不确定性 |
| 文章编号： | 1000-8152（2005）05-0790-04 |
| 收稿时间： | 2004-01-12 |
| 修稿时间： | 2004-01-122004-08-12 |
Quadratic stabilization of switched linear systems with uncertainties of convex cone |
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| SUN Wen-an,ZHAO Jun. Quadratic stabilization of switched linear systems with uncertainties of convex cone[J]. Control Theory & Applications, 2005, 22(5): 790-793 |
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| Authors: | SUN Wen-an ZHAO Jun |
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| Affiliation: | Key Laboratory of Process Industry Automation,Ministry of Education,School of Information Science and Engineering,Northeastern University.Shenyang Liaoning 110004,China |
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| Abstract: | The problem of quadratic stabilization of switched linear systems with uncertainties of convex cone is studied.The uncertainties form a convex cone spanned by a number of known constant matrixes.By using convex combination technique,quadratic stabilization conditions are derived for continuous switched linear systems and discrete switched linear systems,respectively.The conditions involve only the matrixes of extreme points.The associated switching laws are also designed.An example is given to illustrate the method. |
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| Keywords: | switched systems quadratic stabilization uncertainties with convex cone |
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