Techniques of Model-Based Control

Chapter 15. Identification: Basic Concepts

Objectives of the Chapter

The overall objective is to present the basic concepts for determining a process model from empirical tests conducted on the plant. Specific topics to be discussed include

• The identification problem.

• The least-squares formulation and solution.

• Practical considerations.

Prerequisite Reading

Chapter 14, “Discrete-Time Models”

Appendix C, “Linear Least-squares Regression”

Appendix D, “Random Variables and Random Processes”

Introduction

Identification is used to describe the process of determining a process model from empirical test data collected from a process. In Chapter 2 we discussed the step test method used by process engineers to estimate parameters for an FOPDT (first-order plus dead ...