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Successive Separation Procedure of Reduction for Nonlinear Large Scale Systems

Affiliations

  • Laboratory MACS-ENIG, Tunis, Tunisia
  • Laboratory LARA- ENIT, High Institute of Technological Studies in Communications ISETC'om, Tunis, Tunisia

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

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