Question

Problem r(s) + e(s) y(s) K(s) G(s) Figure 1: A unity feedback system. 1. Consider the unity feedback system in Figure 1 with $G(s) = \frac{5}{s^2 + 2}$ Design a controller $K(s)$ such that the unit-step response will exhibit the maximum overshoot of less than 40% and settling time (2% criterion) of 5 sec or less. 2. Using the controller thus designed, show the unit-step response of the closed-loop system with MATLAB.

          Problem
r(s) + e(s)
y(s)
K(s)
G(s)
Figure 1: A unity feedback system.
1. Consider the unity feedback system in Figure 1 with
$G(s) = \frac{5}{s^2 + 2}$
Design a controller $K(s)$ such that the unit-step response will exhibit the maximum overshoot
of less than 40% and settling time (2% criterion) of 5 sec or less.
2. Using the controller thus designed, show the unit-step response of the closed-loop system with
MATLAB.

Problem
r(s) + e(s)
y(s)
K(s)
G(s)
Figure 1: A unity feedback system.
1. Consider the unity feedback system in Figure 1 with
G(s) = (5)/(s^2 + 2)
Design a controller K(s) such that the unit-step response will exhibit the maximum overshoot
of less than 40% and settling time (2% criterion) of 5 sec or less.
2. Using the controller thus designed, show the unit-step response of the closed-loop system with
MATLAB.

Added by Danielle C.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Rakesh Singhi

Step 1

To design a controller K(s) that meets the given specifications, we need to determine the desired characteristics of the closed-loop system. In this case, we want the maximum overshoot to be less than 40% and the settling time (2% criterion) to be 5 seconds or Show more…

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Problem r(s) e(s) K(s) G(s) y(s) Figure 1: A unity feedback system. 1. Consider the unity feedback system in Figure 1 with 5 G(s)=2+ 2 Design a controller K(s) such that the unit-step response will exhibit the maximum overshoot of less than 40% and settling time (2% criterion) of 5 sec or less. 2. Using the controller thus designed, show the unit-step response of the closed-loop system with MATLAB.