| 引用本文: | 于天秋,刘世伟.基于强传递性的线性时不变系统同时稳定化的充分条件[J].控制理论与应用,2013,30(7):880~884.[点击复制] |
| YU Tian-qiu,LIU Shi-wei.Sufficient condition for simultaneous stabilization of linear time-invariant systems using strong transitivity approach[J].Control Theory and Technology,2013,30(7):880~884.[点击复制] |
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| 基于强传递性的线性时不变系统同时稳定化的充分条件 |
| Sufficient condition for simultaneous stabilization of linear time-invariant systems using strong transitivity approach |
| 摘要点击 2655 全文点击 1568 投稿时间：2012-07-20 修订日期：2013-04-12 |
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| DOI编号 10.7641/CTA.2013.12173 |
| 2013,30(7):880-884 |
| 中文关键词 同时稳定 线性时不变系统 互素因子分解 强传递性 控制器 |
| 英文关键词 simultaneous stabilization time-invariant linear systems coprime factorizations strong transitivity controllers |
| 基金项目 黑龙江省教育委员会基金资助项目(12521406); 国家自然科学基金委专项基金数学天元基金资助项目(11226121). |
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| 中文摘要 |
| 本文考虑了离散线性时不变系统的同时稳定化问题. 基于强传递性的方法, 本文利用互素因子分解法建立了同时存在多个稳定控制器的充分条件. 此外, 在这个条件下, 本文提出了同时稳定3个系统的控制器的设计方法. 最后, 给出了一个例子验证结果的有效性. |
| 英文摘要 |
| In this paper, the problem of the simultaneous stabilization of linear, time-invariant, discrete-time systems is addressed. Using the strong transitivity approach, we establish sufficient condition for the existence of simultaneously stabilizing controllers based on the coprime factorization. Additionally, this paper presents a new methodology for the design of simultaneously stabilizing controllers for three plants that satisfy a sufficient condition. Finally, a simple example is presented to show the effectiveness of the result. |