Zhang, H.Lim, C.Wu, L.Shi, P.2018-03-082018-03-082017IET Control Theory and Applications, 2017; 11(17):3069-30781751-86441751-8652http://hdl.handle.net/2440/110911A 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.en© The Institution of Engineering and Technology 2017Time-weighted MR for switched LPV systems via balanced realisationJournal article003007519810.1049/iet-cta.2017.04810004152202000142-s2.0-85034094608368243Lim, C. [0000-0002-2463-9760]Shi, P. [0000-0001-6295-0405] [0000-0001-8218-586X] [0000-0002-0864-552X] [0000-0002-1358-2367] [0000-0002-5312-5435]