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Mathematical Problems in Engineering
Volume 2010, Article ID 841830, 20 pages
Research Article

Multimodeling Control via System Balancing

Faculty of Mechanical Engineering, University of Belgrade, 11120 Belgrade 35, Serbia

Received 19 February 2010; Accepted 14 April 2010

Academic Editor: Giuseppe Rega

Copyright © 2010 Nada Ratković Kovačević and Dobrila Škatarić. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A new approach in multimodeling strategy is proposed. Multimodel strategies in which control agents use different simplified models of the same system are being developed using balancing transformation and the corresponding order reduction concepts. Traditionally, the multimodeling concept was studied using the ideas of multitime scales (singular perturbations) and weak subsystem coupling. For all reduced-order models obtained, a Linear Quadratic Gaussian (LQG) control problem was solved. Different order reduction techniques were compared based on the values of the optimized criteria for the closed-loop case where the full-order balanced model utilizes regulators calculated to be the optimal for various reduced-order models. The results obtained were demonstrated on a real-world example: a multiarea power system consisting of two identical areas, that is, two identical power plants.