| 一类不确定线性切换系统二次鲁棒稳定性的充分条件 |
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| 引用本文： | 孙文安,袁福庆,董雱,张强.一类不确定线性切换系统二次鲁棒稳定性的充分条件[J].应用数学,2006,19(3):492-497. |
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| 作者姓名： | 孙文安 袁福庆 董雱 张强 |
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| 作者单位： | 1. 大连大学辽宁省智能信息处理重点实验室,大连大学信息工程学院,辽宁,大连116622
2. 大连商务职业学院,辽宁,大连,116039 |
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| 摘 要： | 本文研究了一类不确定线性切换系统的二次鲁棒稳定性问题.首先利用矩阵集的严格完备性设计切换律,导出了二次鲁棒稳定的充分条件.同时得到了在任意切换策略下,当矩阵集的所有矩阵为负定时保证切换系统二次鲁棒稳定性.在适当的假设下,这些条件可以表示为矩阵不等式.最后,用数值例子对所得结果加以阐明,说明了文中结果的正确性.
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| 关 键 词： | 线性切换系统 不确定性 二次鲁棒稳定性 完备性 线性矩阵不等式 |
| 文章编号： | 1001-9847(2006)03-0492-06 |
| 收稿时间： | 2005-09-13 |
| 修稿时间： | 2005年9月13日 |
Sufficient Conditions for Quadratic Robust Stability of a Class of Switched Linear Systems with Uncertainties |
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| SUN Wen-an,YUAN Fu-qing,DONG Fang,ZHANG Qiang.Sufficient Conditions for Quadratic Robust Stability of a Class of Switched Linear Systems with Uncertainties[J].Mathematica Applicata,2006,19(3):492-497. |
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| Authors: | SUN Wen-an YUAN Fu-qing DONG Fang ZHANG Qiang |
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| Institution: | 1. Liaoning Key Lab of Intelligent Information Processing, College of Information Engineering Dalian University, Dalian 116622, China; 2. Dalian Business Institute, Dalian 116039, China |
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| Abstract: | This paper investigates the quadratic robust stability problem for a class of switched linear systems with uncertainties.We show that the strict completeness of certain family of matrices guarantees quadratic robust stability.A switching law is also designed according to the strict completeness.When all matrices of this family are negative definite,quadratic robust stability under arbitrary switching laws is obtained.Under appropriate assumptions,the conditions are expressed in the LMIs form.A numerical example is given to illustrate the effectiveness of the results. |
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| Keywords: | Switched linear systems Uncertainty Quadratic robust stability Completeness Linear matrix inequalities (LMIs) |
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