Recent questions tagged transfer-function

A control system is shown in the Figure.Which option represents the correct transfer function of the system?$\dfrac{1}{(s+4)^{2}}$$\dfrac{1}{(s+4)}$$\dfrac{2}{(s+4)}$$\df...

For the control system shown in the Figure, the transfer function of a plant, $G(s)=\frac{1}{(s+1)(s+2)}$ is connected in cascade with a compensator $C(s)=K(s+\alpha)$, w...

The state and output equations for a control system are:\[\begin{array}{c}\dot{x}=\left[\begin{array}{cc}-4 & -1.5 \\4 & 0\end{array}\right] x+\left[\begin{array}{l}2 \\0...

Let $G(s)=\frac{1}{10 s^{2}}$ be the transfer function of a second-order system. A controller $M(s)$ is connected to the system $G(s)$ in the configuration shown below.Co...

​​​​​A satellite attitude control system, as shown below, has a plant with transfer function $G(s)=\frac{1}{s^{2}}$ cascaded with a compensator $C(s)=\frac{K(s+\alpha)}{s...

Consider a system $S$ represented in state space as\[\frac{d x}{d t}=\left[\begin{array}{ll}0 & -2 \\1 & -3\end{array}\right] x+\left[\begin{array}{l}1 \\0\end{array}\rig...

The open loop transfer function of a unity negative feedback system is $G(s)=\frac{k}{s\left(1+s T_1\right)\left(1+s T_2\right)}$, where $k, T_1$ and $T_2$ are positive c...

In the following block diagram, $\mathrm{R}(\mathrm{s})$ and $\mathrm{D}(\mathrm{s})$ are two inputs. The output $\mathrm{Y}(\mathrm{s})$ is expressed as $Y(s)=G_1(s) R(s...

A linear time-invariant system has a transfer function $H(s)=1 /(1+s)$. If the input to the system is $\cos (t)$, the output is$\left(e^{j t}+e^{-j t}\right) / 2$ where $...

A voltage source with internal resistance $\text{R}$ is connected to an inductor $\text{L}$ and a capacitor $\text{C}$ connected in parallel. The output is the common vol...

The figure is shows the block diagram representation of control system. The system in block A has an impulse response $h_{A}(t)=e^{-t} u (t)$. The system in block $B$ has...

In the figure is a linear time invariant discrete systme is shown. Blocks labelled $D$ represent unit delay elements. For $n<0$, you may assume that $x$ (n), $y_{1}(n), y...

The figure is shows the block diagram of phase-locked-loop $\text{(PLL)}$ in the locked condition.The output voltage of the phase detector is given by\[\mathrm{V}_{p}=\ma...

A system described by the transfer function$\mathrm{H}(s)=\frac{1}{s^{3}+\alpha s^{2}+k s+3}$ is stable. The constraints on $\alpha$ and $k$ are$\alpha>0, \alpha k<3$$\al...

The network $\mathrm{N}$ in given figure consists only of two elements: a resistor of $1 \; \Omega$ and an inductor of $\text{L}$ Henry. A $5 \mathrm{~V}$ source is conne...

For the linear, time-invariant system whose block diagram is shown in figure with input $x(t)$ and output $y(t)$, Find the transfer function.For the step response of the ...

The block diagram of a feedback system is shown in the figure.Find the closed loop transfer function.Find the minimum value of $G$ for which the step response of the syst...

For a second-order system with the closed-loop transfer function\[T(s)=\frac{9}{s^{2}+4 s+9}\]the settling time for $2$ - percent band, in seconds, is$1.5$$2.0$$3.0$$4.0$

If the closed-loop transfer function $T(s)$ of a unity negative feedback system is given by\[\mathrm{T}(\mathrm{s})=\frac{a_{n -1} \mathrm{~s}+a_{n}}{\mathrm{~s}^{n}+n_{1...

Consider the points $s_{1}=-3+j 4$ and $s_{2}=-3-j 2$ in the $s$-plane. Then, for a system with the open-loop Transfer function\[G(s) H(s)=\frac{K}{(s+1)^{4}}\]$s_{1}$ is...

The asymptotic Bode plot of the minimum phase open-loop transfer function $\mathrm{G}(\mathrm{s}) \mathrm{H}(s)$ in as shown in the figure is Obtain the transfer function...

The transfer function of a system is given by $H(s)=\frac{1}{s^{2}(s-2)}$. The impulse response of the system is$\left(t^{2 *} e^{-2 t}\right) \mathrm{U}(t)$ (* denotes c...

The open-loop $\text{DC}$ gain of a unity negative feedback system with closed-loop transfer function $\frac{s+4}{s^{2}+7 s+13}$ is$\frac{4}{13}$$\frac{4}{9}$$4$$13$

A feedback control system is shown in figure,Draw the signal-flow graph that represents the system.Find the total number of loops in the graph and determine the loop-gain...

Consider the feedback control system shown in figure,Find the transfer function of the system and its characteristic equation.Use the Routh-Hurwitz criterion to determine...

For the feedback control system shown in the figure, the process transfer function is $G p(s)=\frac{1}{s(s+1)}$, and the complification factor of the power amplifier is $...

Consider a system with the transfer function $G(s)=\frac{s+6}{k s^2+s+6}$. Its damping ratio will be $0.5$ when the value of $k$ is$2 / 6$$3$$1 / 6$$6$

The transfer function $\mathrm{Y}(s) / \mathrm{U}(\mathrm{s})$ of a system described by the state equations $x(t)=-2 x(t)+2 u(t)$ and $y(t)=0.5 x(t)$ is$0.5 /(s-2)$$1 /(s...