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Recent questions tagged control-systems

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GATE ECE 2008 | Question: 12
Step responses of a set of three second-order underdamped systems all have the same percentage overshoot. Which of the following diagrams represents the poles of the thre...
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401
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GATE ECE 2008 | Question: 38
$\text{Group I}$ lists a set of four transfer functions. $\text{Group II}$ gives a list of possible step responses $y(t)$. Match the step responses with the corresponding...
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GATE ECE 2008 | Question: 39
A certain system has transfer function $G(s)=\dfrac{s+8}{s^{2}+\alpha s-4}$, where $\alpha$ is a parameter. Consider the standard negative unity feedback configuration as...
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309
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GATE ECE 2008 | Question: 40
A signal flow graph of a system is given below.The set of equations that correspond to this signal flow graph is$\dfrac{d}{d t}\left(\begin{array}{l}x_{1} \\ x_{2} \\ x_{...
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234
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GATE ECE 2008 | Question: 41
The number of open right half plane poles of $G(s)=\dfrac{10}{s^{5}+2 s^{4}+3 s^{3}+6 s^{2}+5 s+3}$ is$0$$1$$2$$3$
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332
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GATE ECE 2008 | Question: 42
The magnitude of frequency response of an underdamped second order system is $5$ at $0 \; \mathrm{rad} / \mathrm{sec}$ and peaks to $\dfrac{10}{\sqrt{3}}$ at $5 \sqrt{2} ...
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498
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GATE ECE 2008 | Question: 43
$\text{Group I}$ gives two possible choices for the impedance $\mathrm{Z}$ in the diagram. The circuit elements in $\mathrm{Z}$ satisfy the condition $R_{2} C_{2}>R_{1} C...
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269
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GATE ECE 1993 | Question 6.4
If $\tau \mathrm{F}(\mathrm{s})=[f(t)]=\frac{\mathrm{K}}{(\mathrm{s}+1)\left(\mathrm{s}^{2}+4\right)}$ then $\lim _{t \rightarrow \infty} f(t)$ is given by$\mathrm{K} / 4...
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GATE ECE 1993 | Question 6.5
If $s^{3}+3 s^{2}+4 s+A=0$, then all the roots of this equation are in the left half plane provided that$\mathrm{A}>12$$-3<\mathrm{A}<4$$0<\mathrm{A}<12$$5<\mathrm{A}<12$
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GATE ECE 2009 | Question: 8
The magnitude plot of a rational transfer function $G(s)$ with real coefficients is shown below. Which of the following compensators hás such a magnitude plot?Lead compen...
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559
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GATE ECE 2009 | Question: 18
Consider the system $\dfrac{d x}{d t}=A x+B u$ with $A=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$ and $B=\left[\begin{array}{l}p \\ q\end{array}\right]$ whe...
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GATE ECE 2009 | Question: 43
The feedback configuration and the pole-zero locations of $G(s)=\frac{s^{2}-2 s+2}{s^{2}+2 s+2}$ are shown below. The root locus for negative values of $k$, i.e. for $-\i...
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GATE ECE 2009 | Question: 44
An $\text{LTI}$ system having transfer function $\frac{s^{2}+1}{s^{2}+2 s+1}$ and input $x(t)=\sin (t+1)$ is in steady state. The output is sampled at a rate $\omega_{s} ...
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345
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GATE ECE 2009 | Question: 45
The unit step response of an under-damped second order system has steady state value of $-2$. Which one of the following transfer functions has these properties ?$\frac{-...
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303
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GATE ECE 2009 | Question: 53
The Nyquist plot of a stable transfer function $G(s)$ is shown in the figure. We are interested in the stability of the closed loop system in the feedback configuration s...
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559
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GATE ECE 2009 | Question: 54
The Nyquist plot of a stable transfer function $G(s)$ is shown in the figure. We are interested in the stability of the closed loop system in the feedback configuration s...
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281
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GATE ECE 2010 | Question: 17
The transfer function $\text{Y(s) / R(s)}$ of the system shown is$0$$\frac{1}{\text{s}+1}$$\frac{2}{\text{s}+1}$$\frac{2}{\text{s}+3}$
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234
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GATE ECE 2010 | Question: 18
A system with the transfer function $\frac{Y(s)}{X(s)}=\frac{s}{s+p}$ has an output $y(t)=\cos \left(2 t-\frac{\pi}{3}\right)$ for the input signal $x(t)=p \cos \left(2 t...
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GATE ECE 2010 | Question: 19
For the asymptotic Bode magnitude plot shown below, the system transfer function can be$\frac{10 \text{s}+1}{0.1 \text{s}+1}$$\frac{100 \text{s}+1}{0.1 \text{s}+1}$$\frac...
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270
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GATE ECE 2010 | Question: 31
Given $f(t)=\mathscr{L}^{-1}\left[\dfrac{3 s+1}{s^{3}+4 s^{2}+(K-3) s}\right]$. If $\displaystyle{}\lim _{t \rightarrow \infty} f(t)=1$, then the value of $K$ is$1$$2$$3$...
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212
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GATE ECE 2010 | Question: 44
A unity negative feedback closed loop system has a plant with the transfer function $\text{G}(s)=\frac{1}{s^{2}+2 s+2}$ and a controller $\text{G}_{c}(s)$ in the feedforw...
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299
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GATE ECE 2010 | Question: 50
The signal flow graph of a system is shown below.The state variable representation of the system can be$\begin{aligned} \dot{x} &=\left[\begin{array}{ll} 1 & 1 \\ -1 & 0\...
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373
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GATE ECE 2010 | Question: 51
The signal flow graph of a system is shown below.The transfer function of the system is$\frac{s+1}{s^{2}+1}$$\frac{s-1}{s^{2}+1}$$\frac{s+1}{s^{2}+s+1}$$\frac{s-1}{s^{2}+...
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347
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GATE ECE 1992 | Question 1.6
A linear time-invariant system is described by the state variable model\[\left[\begin{array}{l}x_{1} \\x_{2}\end{array}\right]=\left[\begin{array}{rc}-1 & 0 \\0 & -2\end{...
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GATE ECE 1992 | Question 1.7
A process with open-loop model $G(s)=\frac{k e^{-s \mathrm{~T}_{4}}}{t s+1}$ is controlled by a $\text{PID}$ controller.For this processthe integral mode improves transie...
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GATE ECE 1992 | Question 1.9
Bode plot of a stable system is shown in the given figure. The transfer function of the system is $\cdots$
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413
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GATE ECE 1992 | Question 1.10
Given a unity feedback system with open-loop transfer function, $G(a)=\frac{K}{s(s+1)(s+2)}$. The root locus plot of the system is of the form.
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GATE ECE 1991 | Question 1.7
In the signal flow graph of Figure, the gain $c / r$ will be$\frac{11}{9}$$\frac{22}{15}$$\frac{24}{23}$$\frac{44}{23}$
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GATE ECE 1991 | Question 1.8
A second order system has a transfer function given by$$ G(s)=\frac{25}{s^2+8 s+25} $$If the system, initially at rest is subjected to a unit step input at $\mathrm{t}=0$...
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GATE ECE 1991 | Question 1.12
A linear second order single input continuous time system is described by the following set of differential equations$$ \begin{aligned} &x_1(t)=-2 x_1(t)+4 x_2(t) \\ &x_2...
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