Approximate models for control of nonlinear systems

Abstract

This paper investigates various methods for controlling a nonlinear process based on the approximation of the original nonlinear system. We start with a polynomial approximation of the nonlinear model and explore the implementation of exact and approximate linearization techniques to develop controllers with varying degrees of sophistication. A case study of a continuous stirred tank reactor provides the basis for evaluating the performance of the closed-loop system under linear controllers, polynomial-type controllers, and the controllers developed through global linearization techniques.