The unit-step response of a plant is shown in Figure 10.46.

a. The lag time \(L\) and the reaction rate \(R\) can be determined from the figure. Find the P, PI, and PID controller parameters using the Ziegler-Nichols reaction curve method.

b. Assume that the transfer function of the plant is \(3 /\left(10 s^{2}+8 s+1\right)\). Use MATLAB to plot the unit-step response of the closed-loop system with P, PI, or PID control.

Transcribed Image Text:

FIGURE 10.46 Problem 7. Amplitude 2.5 2 1,5 1 0.5 3 Step response 1.5 0 0 10 20 Time (s) 30 40