Optimal expansion of linear system using generalized orthogonal basis

This paper proposes a new method for determining the optimal pole of generalized orthonormal basis (GOB) which leads to an optimal system model developed on such basis. This optimal pole is obtained by solving a set of non linear equations. The proposed procedure is formulated for single-input/single-output (SISO) systems. The proposed algorithm is tested on simulations and good performances in term of approximation and calculus time are obtained.