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

Chapter 3

Dynamic Behavior

The goal of this chapter is to understand dynamic behavior. We begin by working with linear state-space models, often obtained by linearizing a nonlinear model, such as those developed in Chapter 2, “Fundamental Models.” We then introduce Laplace transforms. The main advantage to Laplace transforms is that they allow us to analyze behavior exhibited by linear differential equations by using simple algebraic manipulations. Laplace transforms are used to create transfer function models, which are the basis for many control-system design and analysis techniques.

After studying this chapter, the reader should be able to

• Apply the initial and final value theorems of Laplace transforms.

• Understand first-order and integrating ...