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|Title:||Time-weighted MR for switched LPV systems via balanced realisation|
|Citation:||IET Control Theory and Applications, 2017; 11(17):3069-3078|
|Publisher:||The Institution of Engineering and Technology|
|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|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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