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Control Systems
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For the flow diagram shown in figure, the transfer function   is
Control Systems mcq question image

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The basic element for a pneumatic controller is

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A system described by the transfer function     is stable. The constraints on α and K are,

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In force current analogy, electrical capacitance is analogous to:

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A motion control-system has type-2 plant. A recommended cascade compensation scheme for this system employs.

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The state space representation of a linear time invariant system is: (t) = AX(t) + Bu(t); Y(t) = CX(t)
What is the transfer function H(s) of the system?

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A sensitivity of transfer function   with respect to parameter k is given by

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When a human being tries to approach an object, his brain acts as:

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Two systems are defined by their state veritable equation in time domain dx(t)/dt = Ax(t) + Bu(t) as follows. If the gain equation in this are as given below, which of the following choices is correct?
\begin{array}{l} {\rm{A}} = \left[ {\begin{array}{*{20}{c}} { - 2}&1\\ 0&{ - 1} \end{array}} \right],\,{\rm{B}} = \left[ \begin{array}{l} 1\\ 0 \end{array} \right]{\rm{. }}{\rm{. }}{\rm{. }}{\rm{. Equation 1}}\\ {\rm{A}} = \left[ {\begin{array}{*{20}{c}} 0&1\\ { - 1}&0 \end{array}} \right],\,{\rm{B}} = \left[ \begin{array}{l} 0\\ 1 \end{array} \right]{\rm{. }}{\rm{. }}{\rm{. }}{\rm{. Equation 2}} \end{array}

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If there are sign changes in the first column of Routh's array, the system is

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The roots of the characteristic equation 1 + G(s) H(s) = 0 are the same as the

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System transformation function H(z) for a discrete time LTI system expressed in state variable form with zero initial conditions is

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The system matrix of a continuous time system is given by A = \left[ {\begin{array}{*{20}{c}} 0&1\\ { - 3}&{ - 5} \end{array}} \right].    Then the characteristic equation is

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If both fast response time and good steady state accuracy are needed . . . . . . . . compensators are used.

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The open-loop transfer function of a unity feedback control system is
The closed loop transfer function poles are located at:

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Match List-I with List-II and select the correct answer.
List-I (Functional components) List-II (Devices)
a. Error detector 1. Three-phase FHP induction motor
b. Servomotor 2. A pair of synchronous transmitter and control transformer
c. Amplifier 3. Tachogenerator
d. Feedback 4. Armature controlled FHP d.c. motor
5. Amplidyne

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For continuous-time system, state variable representation is q(t) = Aq(t) + bx(t)
What is the corresponding representation for discrete-time system?

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The system matrix of a continuous time system is described in the state variable form is:
A = \left[ {\begin{array}{*{20}{c}} x&0&0\\ 0&y&{ - 1}\\ 0&1&{ - 2} \end{array}} \right]
The system is stable for all values of x and y satisfying.

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Error constants of system are a measure of

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For proper working of a damper, the time constant should be

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