Process Control: Modeling, Design, and Simulation, 2nd Edition

Chapter 4

Dynamic Behavior: Complex Systems

The goal of this chapter is to further understand dynamic behavior of higher-order systems.

After studying this chapter, the reader should be able to

• Understand the effect of pole and zero values on step responses.

• Understand the effect of time-delay on step responses.

• Perform a Padé approximation for time-delays.

• Convert state-space models to transfer functions.

• Convert transfer function models to state-space models.

The major sections of this chapter are as follows:

4.1 Introduction

4.2 Poles and Zeros

4.3 Lead-Lag Behavior

4.4 Processes with Deadtime

4.5 Padé Approximation for Deadtime

4.6 Converting State-Space Models to Transfer Functions

4.7 Converting Transfer Functions to State-Space Models ...