Mixed Additive/Multiplicative H∞ Model Reduction-Reference-Cited by-同舟云学术

Mixed Additive/Multiplicative H∞ Model Reduction

Published:2013-05-23 Issue:5 Volume:135 Page:
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Chow Yin-Lam¹,Hu Yue-Bing²,Li Xianwei³,Kominek Andreas⁴,Lam James⁵

Affiliation:

1. e-mail:

2. e-mail: Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China

3. Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Heilongjiang, Harbin 150080, China e-mail:

4. Institute of Control Systems, Hamburg University of Technology, Hamburg 21073, Germany e-mail:

5. Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China e-mail:

Abstract

In this paper, the problem of mixed additive/multiplicative model reduction for stable linear continuous-time systems is studied. To deal with nonsquare or nonminimum phase systems, the multiplicative error bound is constructed using spectral factorization technique. By virtue of the bounded real lemma and the projection lemma, a linear matrix inequality approach is proposed for mixed additive/multiplicative H∞ model reduction, which can be implemented by the well-known cone complementary linearization method. Finally, two numerical examples are provided to demonstrate the effectiveness and advantages of the obtained results.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/doi/10.1115/1.4024111/6114372/ds_135_05_051005.pdf

Reference44 articles.

1. Principal Component Analysis in Linear Systems: Controllability, Observability, and Model Reduction;IEEE Trans. Auto. Contr.,1981

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Gramian matrix approach to synthesizing finite-frequency H2 controller;Applied Mathematics and Computation;2024-11

2. Model reduction of discrete Markovian jump systems with time-weightedH2performance;International Journal of Robust and Nonlinear Control;2015-02-11

3. Passivity-preserving model reduction with finite frequency H∞ approximation performance;Automatica;2014-09

4. A New Approach to H ∞ Model Reduction for Positive Systems;IFAC Proceedings Volumes;2014