H-infinity model reduction for linear parameter-varying systems with distributed delay

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Wu, Ligang, Shi, Peng, Gao, Huijun and Wang, Junling (2009) H-infinity model reduction for linear parameter-varying systems with distributed delay. International Journal of Control, 82 (3). pp. 408-422. ISSN 0020-7179


This paper is concerned with the H∞ model reduction for linear parameter-varying (LPV) systems with both discrete and distributed delays. For a given stable system, our attention is focused on the construction of reduced-order models, which approximate the original system well in an H∞ norm sense. First, a sufficient condition is proposed for the asymptotic stability with an H∞ performance of the error system by using the parameter-dependent Lyapunov functional method. Then, the decoupling technique is applied, such that there does not exist any product term between the Lyapunov matrices and the system matrices in the parametrised linear matrix inequality (PLMI) constraints; thus a new sufficient condition is obtained. Based on the new condition, two different approaches are developed to solve the model reduction problem. One is the convex linearisation approach and the other is the projection approach. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed design method.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/4700
DOI 10.1080/00207170802078156
Official URL http://dx.doi.org/10.1080/00207170802078156
Subjects Historical > SEO Classification > 970109 Expanding Knowledge in Engineering
Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Historical > FOR Classification > 0199 Other Mathematical Sciences Information Systems
Keywords ResPubID19354, distributed delay, model reduction, parameterised linear matrix inequality (PLMI), linear parameter-varying (LPV) systems
Citations in Scopus 32 - View on Scopus
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