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A New Scheme for the Approximation of Linear Dynamical Systems and Its Application to Controller Design

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Abstract

A new hybrid scheme of model order reduction (MOR) technique is developed for the simplification and control design of linear large-scale dynamical systems. MOR deals with a high-dimensional problem in a compact representation and plays an important role in fields where complicated simulation studies are still problematic in terms of simulation time. This paper proposes a strategy to derive a reduced order model (ROM) using Balanced Singular Perturbation Approximation. This way reduces the higher order system into a reduced order model. The proposed method guarantees the preservation of all essential parameters of the original model in the reduced system. The results of the proposed method are compared with the results of the reduced order model by previously published work. Further, this ROM has been used for the design of a compensator for the large-scale original plant by using the proposed method. The compensator obtained by using the reduced model gives the approximately same time domain specification as the compensator obtained by using a large-scale original system, and the design of the compensator by using the reduced model is comparatively easier. The performance of the higher and lower-order controllers is also analysed with numerical examples in terms of time response characteristics and time domain specifications and performance indices.

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  1. Department of Electrical Engineering, Maharana Pratap Polytechnic, Gorakhpur, U.P., India

    Santosh Kumar Suman

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  1. Santosh Kumar Suman
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Suman, S.K. A New Scheme for the Approximation of Linear Dynamical Systems and Its Application to Controller Design. Circuits Syst Signal Process 43, 766–794 (2024). https://doi.org/10.1007/s00034-023-02503-2

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