Decentralized observer based-Controller of Interconnected Analytical Nonlinear Systems Application for a Large Scale Power System

In this communication we expose a numerical approach to design a polynomial controlled nonlinear interconnected system augmented by its observer and to determine their sufficient LMI global stabilization conditions. The key of this work is the description of the nonlinear systems using the Kronecker product notations and the power of matrices properties which allow easy manipulations for the state description of polynomial systems. The stability study of the polynomial controlled system augmented by its observer is based on Lyapunov stability direct method. The simulation results are applied on a numerical example to check the validity of the proposed algorithm.