Control Systems
Control System Design
Practice questions from Control System Design.
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IncorrectLet be the transfer function of a second-order system. A controller is connected to the system in the configuration shown below.
Consider the following statements.
(i) There exists no controller of the form , where is a positive real number, such that the closed loop system is stable.
(ii) There exists at least one controller of the form , where and are positive real numbers, such that the closed loop system is stable.
Which one of the following options is correct?
Given :
Characteristic equation:
Sign change (closed Loop system: Unstable)
(ii)
Characteristic equation:
Given that Real no's
All coefficient +ve in characteristic equation, hence closed loop system is stable.
Hence, correct answer is (D) Both (i) and (ii) are True.
A satellite attitude control system, as shown below, has a plant with transfer function cascaded with a compensator , where K and are positive real constants.
In order for the closed-loop system to have poles at , the value of must be ________.
…(1)
This equation will have 3 roots out of which roots are complex lying at , the third pole will be real.
Assuming that the third pole lies at s = -p
Let be
…(2)
Comparing (1) and (2)
