Bequette – Module 2 (Introduction to Simulink) Additional Exercises p. 572

1- Compare step responses of the transfer function and state space models for the van de Vusse reactor.

a.) Transfer function: Perform the open-loop simulation for a step input change from 0 to 1 at t = 1, as shown in Figure M2-5.

b.) State space: Replace the transfer function block shown in Figure M2-5 with a state space block. Enter the following matrices in the MATLAB command window:

Show that the resulting step responses of the transfer function and state space models are identical.

2- Consider the closed-loop SIMULINK diagram for the van de Vusse reactor (Figure M2-8). Replace the default PID controller with a “Real PID” controller as shown below in both the masked and unmasked versions. How do your results compare with ones obtained using the default PID controller?

3- The following control algorithm uses a filtered derivative of the process output (see Chapter 5). Develop a SIMULINK implementation of this algorithm where   e(s)=r(s)-y(s).