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Seyed Saleh Mohseni,Mohamad Javad Yazdanpanah,Abolfazl Ranjbar Noei 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.5
In this paper a novel model order reduction method for nonlinear models, based on decoupled multimodel,via trajectory piecewise-linearization is proposed. Through different strategies in trajectory piecewiselinearmodel reduction, model order reduction of a trajectory piecewise-linear model based on output weighting(TPWLOW), has been developed by authors of current work. The structure of mentioned work was founded basedon Krylov subspace method, which is appropriate for high order models. Indeed the size of the Krylov subspacesmay increase with the number of inputs of the system. As a result, the use of Krylov subspace method may becomedeficient the case for multi-input systems of order few decades. This paper aims to generalize the idea of modelreduction of TPWLOW model by concentrating on balanced truncation technique which is appropriate for mediumsize systems. In addition, the proposed method either guarantees or provides guaranteed stability in some mentionedconditions. Finally, applicability of the reduced model, instead of high-order decoupled multi-model in weightingmulti-model controllers, is investigated through the control of a nonlinear Alstom gasifier benchmark.
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