Data Driven Strategies

Chapter 5 Data Driven Identification for Nonlinear System

5.1 Introduction

In this chapter, firstly, the nonlinear system is modeled by the one polynomial nonlinear state space model. Two polynomial functions of input or state are added in the common state space model and these two polynomial functions correspond to the nonlinear factors. This polynomial nonlinear state space model can be represented by the special nonlinear closed feedback system. To identify every system matrix in the polynomial nonlinear state space model, firstly, each system matrix is vectorized as an unknown parameter vector and then two parallel distribution algorithms are applied to identify this unknown parameter vector in the unconstrained or constrained conditions ...