Consider the a dynamic system whose plant transfer function is given by [G(s)=frac{1}{20 s^{2}}] The plant is
Question:
Consider the a dynamic system whose plant transfer function is given by
\[G(s)=\frac{1}{20 s^{2}}\]
The plant is in a unity feedback arrangement with a controller \(D(s)\) (a cascade controller) as depicted in Figure 4.75.
(a) Use a \(P\) controller, \(D(s)=80\). Does this controller provide any damping?
(b) Use a PD controller, \(D(s)=80+10\) s. Determine the tracking property for a unit step input.
(c) Use a PI controller, \(D(s)=80+5 /\) s. Discuss the effect of this controller on the stability of the system.
(d) Use a PID controller, \(D(s)=80+5 / s+10 s\). Discuss the effect of this controller on the stability and steady-state error (for a unit step input) of the system.
Step by Step Answer:
Design And Analysis Of Control Systems Driving The Fourth Industrial Revolution
ISBN: 9781032718804
2nd Edition
Authors: Arthur G O Mutambara