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https://hdl.handle.net/2440/110911
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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 1751-8652 |
Statement of Responsibility: | 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 |
Grant ID: | http://purl.org/au-research/grants/arc/DP170102644 |
Published version: | http://dx.doi.org/10.1049/iet-cta.2017.0481 |
Appears in Collections: | Aurora harvest 3 Electrical and Electronic Engineering publications |
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