Digital Systems Model Order Reduction with Substructure Preservation and Fuzzy Logic Control

Abstract

A digital system model order reduction (MOR) technique with substructure preservation and fuzzy logic control is presented in this paper. The reduction procedure is performed utilizing the following two steps; model transformation, and system approximation. The transformation process is achieved by utilizing the Lyapunov Sylvester equation, which internally allows for the substructure preservation. The reduction process is achieved using the singular perturbation approximation technique that deals with Multi-Time-Scale systems (MTS). In some of the MTS systems, some of the dynamics may be eliminated since they usually have negligible effect on the overall system response. The reduced order model is then controlled using a fuzzy logic control. The proposed method of model reduction and control is investigated by observing the results of a simulated example. Results of investigation show the achievement of new models with the following advantages; reduced order models, stable models, and controlled model. This is all achieved while having the original dominant same dynamics in the new models, which emphasizes the potential of the proposed technique.