A unity feedback control system is characterized by the open-loop transfer function G(s)=s3+3s2+1010k(s+2). The Nyquist path and the corresponding Nyquist plot of G(s) are shown in the figure below.
If 0 < k < 1, then the number of poles of the closed–loop transfer function that lie in the right-half of the s-plane is
Consider the following statements for pneumatic and hydraulic control systems:
1. The normal operating pressure of pneumatic control is very much higher than that of hydraulic control.
2. In pneumatic control, external leakage is permissible to a certain extent, but there should be no leakage in a hydraulic control.
Which of the statements given above is/are correct?
A linear constant parameter continuous-time system has the following A matrix in its state representation X⋅=AX+Bu. {\rm{A}} = \left[ {\begin{array}{*{20}{c}}
0&\alpha \\
\alpha &0
\end{array}} \right]
Which one of the following is the natural response of the system following the application of any input?
The state variable representation of a system is given as \begin{array}{l}
\mathop x\limits^ \cdot = \left[ {\begin{array}{*{20}{c}}
0&1\\
0&{ - 1}
\end{array}} \right]x,\,x\left( 0 \right) = \left[ \begin{array}{l}
1\\
0
\end{array} \right]\\
y = \left[ {0\,\,1} \right]x
\end{array}
The response y(t) is
Consider the following statements for signal flow graph:
1. It represents linear as well as non-linear systems.
2. It is not unique for a given system.
Which of the above statements is/are correct?
The gain-phase plots of open-loop transfer function of four different systems are shown below. The correct sequence of the increasing order of stability of these four systems will be:
Group I gives two possible choices for the impedance Z in the diagram. The circuit elements in Z satisfy the condition R2C2 > R1C1. The transfer function ViV0 represents a kind of controller. Match the impedances in Group I with the types of controllers in Group II.