Given below are two statements : Statement I : In proportional control, the actuating signal for the control action in a control system is proportional to the error signal...

 

88) Given below are two statements :

Statement I : In proportional control, the actuating signal for the control action in a control system is proportional to the error signal

Statement II : It is desirable that control system be over damped for the point of view of quick response

In the light of the above statements, choose the answer answer from the options given below :

(1) Both statement I and Statement II are true

(2) Both statement I and Statement II are false

(3) Statement I is true but Statement II is false

(4) Statement I is false but Statement II is true

Answer: C

Solution

• Statement I: True. By definition, in a proportional control system, the control output is directly proportional to the current error signal (

  $u(t)=K_p\cdot e(t)$

  ).

• Statement II: False. Overdamped systems are sluggish and take a long time to reach the steady state. For a quick response, an underdamped system (typically with a damping ratio 

  $\zeta \approx 0.7$

  ) is preferred because it reaches the target value faster, albeit with some initial oscillation.

Since Statement I is true and Statement II is false, the correct answer is (3).

---

Previous yr Question papers with Full Explanations →

Electronics and Communiaction Study Materials →