Successive Separation Procedure of Reduction for Nonlinear Large Scale Systems

Marwa Baccouche  and Hajer Bouzaouache

doi:10.17485/ijst/2017/v10i31/116269

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Successive Separation Procedure of Reduction for Nonlinear Large Scale Systems

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2017/v10i31/116269

Year: 2017, Volume: 10, Issue: 31, Pages: 1-14

Original Article

Successive Separation Procedure of Reduction for Nonlinear Large Scale Systems

Marwa Baccouche¹ and Hajer Bouzaouache²

¹Laboratory MACS-ENIG, Tunis, Tunisia; [email protected] ²Laboratory LARA- ENIT, High Institute of Technological Studies in Communications ISETC'om, Tunis, Tunisia; [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

For controller implementation and due to practical considerations a reduced order model is usually needed. So in this work, the problem of order reduction of nonlinear multi time scales systems in the framework of singular perturbations is addressed. A successive separation algebraic procedure is proposed to derive a polynomial reduced model by using the Kronecker product based state representation and the properties of the tensor algebra

Keywords: Kronecker Product, Polynomial Reduced Order Model, Nonlinear Large-scale Systems, Singular Perturbation Theory.