| 具有椭圆盘极点约束的线性系统滤波器设计 |
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| 引用本文：姚波，安志娟，王福忠.具有椭圆盘极点约束的线性系统滤波器设计[J].计算技术与自动化,2014,(4):11-15 |
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| 中文摘要:针对一类线性系统，研究其闭环系统极点具有椭圆盘约束的情况下滤波器设计问题。在极点约束的前提下，控制目标要求闭环系统渐近稳定，并且干扰抑制性能指标小于给定的上界。首先利用有界实引理给出椭圆盘极点约束前提下滤波器的存在条件；其次，利用线性矩阵不等式技术，将滤波器的存在性问题转化成一组线性矩阵不等式(LMI)的可行性问题，根据LMI的可行解，给出滤波器的设计方法，由该方法得到的滤波器满足给定的性能要求；最后，数值算例说明该方法的有效性和可行性。 |
| 中文关键词:线性系统 线性矩阵不等式 极点配置 滤波器 |
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| Design of Filter for Linear System with Pole Assignment of Oval Plate |
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| Abstract:For a class of linear systems, the problem of filter design is discussed with pole assignment of oval plate. On the premise of pole constrain, control objectives requirements the closed loop system is asymptotically stable, and the interference suppression performance index is less than a given upper bound. First, it gives a existence conditions with pole assignment of oval plate by using the bounded real lemma. Second, the existence problem of filter is transformed into a set of linear matrix inequality (LMI) feasibility problem. Based on the solution of LMI, the method of design filter is given and the filter meets the requirement of the given performance. Finally, a numerical example is presented to illustrate the validity and feasibility of the method. |
| keywords:linear system linear matrix inequality pole assignment filter |
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