| 含未知输入的时滞系统的函数观测器及输出反馈镇定 |
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| 引用本文： | 朱淑倩,冯俊娥,程兆林. 含未知输入的时滞系统的函数观测器及输出反馈镇定[J]. 控制理论与应用, 2005, 22(2): 295-300 |
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| 作者姓名： | 朱淑倩 冯俊娥 程兆林 |
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| 作者单位： | 山东大学,数学与系统科学学院,山东,济南,250100;山东大学,数学与系统科学学院,山东,济南,250100;山东大学,数学与系统科学学院,山东,济南,250100 |
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| 基金项目： | 国家自然科学基金资助项目(30271564); 国家重点基础研究发展规划资助项目(G1998020300). |
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| 摘 要： | 考虑了含未知输入的时滞系统的线性函数观测器设计.在一个不失一般性的秩条件假定下,以线性矩阵不等式(LMI)的形式给出了观测器存在的时滞无关型及时滞相关型判据,进而得到函数观测器改进的设计方法.此外,还讨论了降维状态观测器的设计,给出了基于观测器的反馈镇定控制器,实现了闭环的特征根分离及内稳定.具体算例说明了本文方法的有效性.
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| 关 键 词： | 时滞系统 线性函数观测器 输出反馈镇定 线性矩阵不等式(LMI) |
| 文章编号： | 1000-8152(2005)02-0295-06 |
| 收稿时间： | 2003-04-21 |
| 修稿时间： | 2004-04-30 |
Functional observer for time-delay systems with unknown inputs and output feedback stabilization |
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| ZHU Shu-qian,FENG Jun-e,CHENG Zhao-lin. Functional observer for time-delay systems with unknown inputs and output feedback stabilization[J]. Control Theory & Applications, 2005, 22(2): 295-300 |
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| Authors: | ZHU Shu-qian FENG Jun-e CHENG Zhao-lin |
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| Affiliation: | School of Mathematics and System Sciences,Shandong University,Jinan Shandong 250100,China |
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| Abstract: | The design of linear functional observer for time-delay systems with unknown inputs is concerned.Under some rank conditions without loss of generality,sufficient conditions for the existence of the observers dependent on and independent of delays are given in terms of linear matrix inequality (LMI).An improved method for the functional observer design is proposed.Moreover,the design of the reduced-order state observer is considered and the observer-based feedback stabilization controller is obtained.Then the eigenvalues separation of the closed-loop can be realized and the internal stability of the closed-loop is guaranteed.A detailed example is presented for the method. |
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| Keywords: | delay systems linear fuctional observer output feedback stabilition linear matrix inequality (LMI) |
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