| Robust stabilization of multilinear interval plants |
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| 作者姓名： | WANG Zhizhen WANG Long YU Wensheng |
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| 作者单位： | Department of Mechanics and Engineering Sciences, Peking University, Beijing 100871, China,Department of Mechanics and Engineering Sciences, Peking University, Beijing 100871, China,Institute of Automation, Chinese Academy of Sciences, Beijing 100080, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China (Grant No. 69925307), and the Research Fund for the Doctoral Program of Higher Education. |
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| 摘 要： | The robust D-stability of a class of multilinear interval polynomials is considered. Some sufficient conditions are given to judge the robust D-stability of the uncertain systems. In short, an uncertain system is robustly D-stable if some linear matrix inequalities are solvable. Moreover, our results are applied to the robust stabilization of multilinear interval plants. Taking advantage of the uncertainty structure information, these results are computationally tractable and effective in practice.
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| 关 键 词： | multilinear interval polynomial robust stabilization Kharitonov vertex set Kharitonov edge set e |
Robust stabilization of multilinear interval plants |
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| WANG Zhizhen,WANG Long,YU Wensheng.Robust stabilization of multilinear interval plants[J].Progress in Natural Science,2002,12(7):546-550. |
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| Authors: | Wang Zhizhen WANG Long Yu Wensheng |
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| Institution: | 1. Department of Mechanics and Engineering Sciences, Peking University, Beijing 100871, China;
2. Institute of Automation, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | The robust D-stability of a class of multilinear interval polynomials is considered. Some sufficient conditions are given to judge the robust D-stability of the uncertain systems. In short, an uncertain system is robustly D-stable if some linear matrix inequalities are solvable. Moreover, our results are applied to the robust stabilization of multilinear interval plants. Taking advantage of the uncertainty structure information, these results are computationally tractable and effective in practice. |
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| Keywords: | multilinear interval polynomial robust stabilization Kharitonov vertex set Kharitonov edge set e |
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