Process Control: Modeling, Design, and Simulation

4.6. Discrete Step and Impulse Response Models

The common model predictive control techniques presented in Chapter 16 are based on step or impulse responses.

Step Response Models

Finite step response (FSR) models are obtained by making a unit step input change to a process operating at steady state. The model coefficients are simply the output values at each time step, as shown in Figure 4-9. Here, s_i represents the step response coefficient for the ith sample time after the unit step input change. If a nonunit step change is made, the output is scaled accordingly.

Figure 4-9. Illustration of step response parameter identification.

The step response ...