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|Title:||Hankel-norm model approximation for LPV systems with parameter-varying time delays|
|Citation:||International Journal of Systems Science, 2010; 41(10):1173-1185|
|Publisher:||Taylor & Francis Ltd|
|Ligang Wu, Peng Shi and Xiaojie Su|
|Abstract:||This article is concerned with Hankel-norm model approximation (HNMA) for linear parameter-varying systems with parameter-varying time delays. For a given stable system, our attention is focussed on the construction of reduced-order models, which approximate the original system well in a Hankel-norm sense. By applying the slack matrix approach, a delay-dependent sufficient condition is proposed for the robustly asymptotic stability with a Hankel-norm error performance for the error system. Then, the HNMA problem is solved by using the projection approach, which casts the model approximation into a sequential minimisation problem subject to linear matrix inequality constraints by employing the cone complementary linearisation algorithm. Finally, a numerical example is provided to illustrate the effectiveness of the proposed methods.|
|Keywords:||Hankel-norm; linear matrix inequality; linear parameter-varying systems; model approximation; model reduction; parameter-varying delay|
|Rights:||© 2010 Taylor & Francis|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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