A Nonlinear System Identification Method Based on Local Linear PLS Method

Abstract

In this paper, a new Local Linear Partial Least Squares (LL-PLS) method which is a nonlinear system identification method using local models is proposed. A procedure of the local linear PLS method is that first local models are identified using conventional methods like Recursive Least Squares (RLS) method, then a virtual system which describes a nonlinearity of the real system is identified using PLS method. In this paper, a derivation of this method is described, and then effectiveness of the proposed method is shown by numerical simulations.