| 不确定切换奇异系统的鲁棒容许性分析:切换Lyapunov函数方法(英文) |
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| 引用本文： | 林金星,费树岷,沈炯,于建江.不确定切换奇异系统的鲁棒容许性分析:切换Lyapunov函数方法(英文)[J].东南大学学报,2009,25(2):208-212. |
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| 作者姓名： | 林金星 费树岷 沈炯 于建江 |
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| 作者单位： | 林金星,费树岷,于建江,Lin Jinxing,Fei Shumin,Yu Jianjiang(东南大学复杂工程系统测量与控制教育部重点实验室,南京,210096;东南大学自动化学院,南京,210096);沈炯,Shen Jiong(东南大学能源与环境学院,南京,210096) |
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| 基金项目： | 国家自然科学基金，the Key Project of Ministry of Education of China |
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| 摘 要： | 研究了一类不确定离散切换线性奇异(SLS)系统任意切换律下的鲁棒容许性问题.假设系统参数不确定性满足范数有界条件.首先,采用切换Lyapunov函数方法,给出了一些新的保证名义离散SLS系统任意切换律下正则、无脉冲以及渐进稳定的充分条件,且条件表示为线性矩阵不等式形式.基于获得的条件,进一步给出了保证不确定离散SLS系统任意切换律下鲁棒容许的条件.将正常切换系统的切换Lyapunov函数方法推广到奇异切换系统.数值例子说明了该方法保守性的降低及可行性.
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| 关 键 词： | 切换奇异系统 鲁棒容许性 Lyapunov函数 参数不确定 |
Robust admissibility analysis of uncertain switched singular systems:a switched Lyapunov function approach |
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| Lin Jinxing, Fei Shumin, Shen Jiong Yu Jianjiang.Robust admissibility analysis of uncertain switched singular systems:a switched Lyapunov function approach[J].Journal of Southeast University(English Edition),2009,25(2):208-212. |
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| Authors: | Lin Jinxing Fei Shumin Shen Jiong Yu Jianjiang |
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| Institution: | Lin Jinxing1,2 Fei Shumin1,2 Shen Jiong3 Yu Jianjiang1,2(1Key Laboratory of Measurement , Control of CSE of Ministry of Education,Southeast University,Nanjing 210096,China)(2School of Automation,China)(3School of Energy , Environment,China) |
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| Abstract: | The robust admissibility analysis of a class of uncertain discrete-time switched linear singular(SLS)systems for arbitrary switching laws is addressed.The parameter uncertainty is assumed to be norm-bounded.First,by using the switched Lyapunov function approach,some new sufficient conditions ensuring the nominal discrete-time SLS system to be regular,casual and asymptotically stable for arbitrary switching laws are derived in terms of linear matrix inequalities.Then,the robust admissibility condition for th... |
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| Keywords: | switched singular systems robust admissibility switched Lyapunov function parameter uncertainty |
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