| 引用本文: | 黄 琳, 杨 莹, 耿志勇, 王金枝, 段志生.系统动态性能的多样性分析与控制——后绝对稳定性研究[J].控制理论与应用,2004,21(6):966~974.[点击复制] |
| HUANG Lin, YANG Ying, GENG Zhi-yong, WANG Jin-zhi, DUAN Zhi-sheng.Analysis & control of diversity of system dynamic properties:on the post-absolute stability[J].Control Theory and Technology,2004,21(6):966~974.[点击复制] |
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| 系统动态性能的多样性分析与控制——后绝对稳定性研究 |
| Analysis & control of diversity of system dynamic properties:on the post-absolute stability |
| 摘要点击 3714 全文点击 2046 |
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| DOI编号 10.7641/j.issn.1000-8152.2004.6.027 |
| 2004,21(6):966-974 |
| 中文关键词 总体性质 多平衡点 分析与控制 周期过程 奇怪吸引子 |
| 英文关键词 global properties multiple equilibria analysis and control periodic oscillations strange attractors |
| 基金项目 国家自然科学基金项目 (60334030;10272001;60404007;60374039;60204007). |
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| 中文摘要 |
| 控制理论长期以来将控制目的主要集中于系统平衡位置稳定性和设计控制器以保证对系统进行镇定上 ,已不能符合控制系统当今的实际要求 .首先介绍了区别于单平衡位置稳定性的其它动态性能 ,包括系统中过程的有界性 (Lagrange稳定性 )、双态性、类梯度性以及刻画不产生平衡位置过渡的Bakaev稳定性 ,及如何运用频域手段和线性矩阵不等式 (LMI)来实现对它们的控制 .其次介绍了高阶系统中周期过程 (自振与强迫振动 )的分析与控制 ,再次介绍了与奇怪吸引子相关的Hausdorff维数与Lyapunov指数的估计 |
| 英文摘要 |
| The main objective of control theory has long focused on the stability analysis of system equilibrium and stabilizing controller synthesis.But these can not meet the practical need anymore.Firstly,some dynamic properties different from the stability of the single equilibrium are introduced,including the boundedness of system trajectories (i.e.Lagrange stability),dichotomy,gradient-like behavior and the Bakaev stability (ensuring no transition of equilibria).Frequency-domain methods as well as linear matrix inequalities methods are established on how to design a feedback controller guaranteeing the above mentioned properties.Secondly,the stability and control of periodic oscillations (the auto-oscillations and the forced oscillations) of high order systems are investigated.Finally,some researches on estimates of the Hausdorff dimension and the Lyapunov exponent of strange attractors are introduced. |
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