| Lur＇e控制系统新标准型的有理分解及绝对稳定的显式判据 |
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| 引用本文： | 刘菲, 张继业.Lur＇e控制系统新标准型的有理分解及绝对稳定的显式判据[J].西南交通大学学报,1994(1). |
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| 作者姓名： | 刘菲 张继业 |
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| 作者单位： | 西南交通大学工程力学系，中国核动力研究设计院 |
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| 摘 要： | 本文对Ｌｕｒ＇ｅ控制系统新标准型￣［１］进行有理分解，使其孤立子系统Ｓ＿１具有有理形式，并给出一个递归公式，从而使子系统Ｓ＿１的Ｌｉａｐｕｎｏｖ函数便于构造。应用对各子系统的Ｌｉａｐｕｎｏｖ函数求和方法，得到了常用控制系统及其共轭系统的绝对稳定的便于直接应用的显式判据。
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| 关 键 词： | Lur＇e控制系统 绝对稳定 有理分解 显式判据 |
A Rational Decomposition for a new Canonical Form of the Lur'e Control System and an Explicite Criteria for the Absolute Stability of the Form |
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| Liu,Fei.A Rational Decomposition for a new Canonical Form of the Lur''''e Control System and an Explicite Criteria for the Absolute Stability of the Form[J].Journal of Southwest Jiaotong University,1994(1). |
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| Authors: | Liu Fei |
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| Abstract: | The new canonical form of the Lur'e control system proposed by Shu Zhongzhou is superior to the old ones.In this paper,a rational decomposition for the new canonical form is such that each isolated subsystem S_1 is in the rational form. A recurrence formula proposed for S_1 is so simple that the Liapunov function V_i for S_i is easily constituted. Applying the summation of V/s to a class of control system most in use and to the conjugate systems of this class , several explicit criteria which can be directly used are obtained. |
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| Keywords: | Lur'e control system the absolute stability rational decomposition explicit criteria |
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