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In this work, a novel technique of balanced truncation for model reduction of parameter-varying multidimensional systems in “Roesser Form” is proposed. The multidimensional system representation requires two operators defined on l2-space. The reduction is based on extended Gramians. Both, standard and improved error bounds for the model reduction problem are presented. The approach is demonstrated...
A method to reduce the dynamic order of linear parameter-varying (LPV) systems in grid representation is developed in this paper. It approximates balancing and truncation by an oblique projection onto a dominant subspace. The approach is novel in its use of a parameter-varying kernel to define the direction of this projection. Parameter-varying state transformations in general lead to parameter rate...
This paper presents a balanced truncation technique for model and scheduling order-reduction (i.e. reduction of number of states as well as of scheduling parameters) of exponentially stable temporal- and spatial-LPV interconnected systems. The reduction is based on the application of the full block S-procedure, using both Constant Gramians (CGs) and Parameter-Dependent Gramians (PDGs). The reduced...
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