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Type: Journal article
Title: Time-weighted MR for switched LPV systems via balanced realisation
Author: Zhang, H.
Lim, C.
Wu, L.
Shi, P.
Citation: IET Control Theory and Applications, 2017; 11(17):3069-3078
Publisher: The Institution of Engineering and Technology
Issue Date: 2017
ISSN: 1751-8644
Statement of
Huiyan Zhang, Cheng-Chew Lim, Ligang Wu, Peng Shi
Abstract: A new model reduction (MR) method is developed for continuous-time switched linear parameter-varying (LPV) systems based on time-weighted gramians. Using time-weighted energy functionals and parameter-independent multiple Lyapunov functions, the time-weighted controllability and observability gramians are obtained. With a balanced transformation matrix optimally derived, the authors show that a balanced realisation can be achieved for the original switched LPV systems. A series of low-order models for different weighting factors are yielded by state truncation or singular perturbation techniques. The reduced-order models can preserve the stability. The feasibility and effectiveness of the proposed MR method are illustrated by two examples including a three spring-mass system.
Rights: © The Institution of Engineering and Technology 2017
DOI: 10.1049/iet-cta.2017.0481
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Electrical and Electronic Engineering publications

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