Reduced-Order H-Infinity Filtering For Commensurate Fractional-Order Systems
2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC)(2013)
摘要
This paper is concerned with the reduced-order H-infinity filtering problem of commensurate fractional-order systems. Our goal is to construct a reduced-order filter in such a way that the filtering error is within a prescribed H-infinity-norm error bound. Based on the bounded real lemma for commensurate fractional-order systems, a sufficient condition is established in terms of linear matrix inequalities (LMIs) under which the stability as well as the H-infinity performance of the filtering error system can be guaranteed. Moreover, by introducing a free real matrix variable, the desired filtering matrices are decoupled with the complex matrix variable and further parameterized by the new matrix variable, which facilitates the filter synthesis. Then, an iterative LMI algorithm is proposed to compute the filtering matrices accordingly. Finally, a numerical example is presented to show the effectiveness of the proposed algorithms.
更多查看译文
关键词
iterative methods
AI 理解论文
溯源树
样例
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要