Recent questions tagged transfer-function

The transfer function of a phase-lead compensator is given by\[G_{c}(s)=\frac{1+3 T s}{1+T s} \text { where } T>0\]The maximum phase-shift provided by such a compensator ...

Statement for Linked Answer Questions 82 and 83Consider a unity-gain feedback control system whose open-loop transfer function is\[G(s)=\frac{as+1}{s^{2}}\]The value of '...

Statement for Linked Answer Questions 82 and 83Consider a unity-gain feedback control system whose open-loop transfer function is\[G(s)=\frac{as+1}{s^{2}}\]With the value...

The $3-d \mathrm{B}$ bandwidth of a typical second-order system with the transfer function$\frac{\mathrm{C}(s)}{\mathrm{R}(s)}=\frac{w_{n}^{2}}{s^{2} \mathrm{t}+2 x w_{n}...

If $G(s)$ is a stable transfer function, then $F(s)=\frac{1}{G(s)}$ is always a stable transfer function.

The response of an $\text{LCR}$ circuit to a step input is If the transfer function has(1) poles on the(A) over damped negative real axis(2) poles on the(B) critically da...

If the closed-loop transfer function of a control system is given as $T(s)=\dfrac{s-5}{(s+2)(s+3)},$ then it isan unstable systeman uncontrollable systema minimum phase s...

The transfer function of a plant is $T(s)=\dfrac{5}{(s+5)\left(s^{2}+s+1\right)}$. The second-order approximation of $T(s)$ using dominant pole concept is$\frac{1}{(s+5)(...

The open-loop transfer function of a plant is given as $G(s)=\dfrac{1}{s^{2}-1}$. If the plant is operated in a unity feedback configuration, then the lead compensator th...

The asymptotic Bode plot of a transfer function is as shown in the figure. The transfer function $G(s)$ corresponding to this Bode plot is$\frac{1}{(s+1)(s+20)}$$\frac{1}...

The state space representation of a separately excited $\text{DC}$ servo motor dynamics is given as\[\left[\begin{array}{l}\dfrac{d \omega}{d t} \\\dfrac{d i_{a}}{d t}\en...

Consider the Op-Amp circuit shown in the figure.The transfer function $V_{o}(s) / V_{i}(s)$ is$\frac{1-s R C}{1+s R C}$$\frac{1+s R C}{1-s R C}$$\frac{1}{1-s R C}$$\frac{...

A linear, time-invariant, causal continuous time system has a rational transfer function with simple poles at $s=-2$ and $s=-4$, and one simple zero at $s=-1$. A unit ste...

$\text{Group I}$ 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...

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$

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} ...

$\text{Group I}$ 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...

If the transfer function of the following network is $\dfrac{V_{o}(s)}{V_{i}(s)}=\dfrac{1}{2+s C R}.$the value of the load resistance $R_{L}$ is$R / 4$$R / 2$$R$$2 R$

A system with transfer function $H(z)$ has impulse response $h(\cdot)$ defined as $h(2)=1, h(3)=-1$ and $h(k)=0$ otherwise. Consider the following statements.$\qquad \qqu...

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} ...

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{-...

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...

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}$

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...

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...

The transfer function of a discrete time $\text{LTI}$ system is given by$$H(z)=\frac{2-\frac{3}{4} z^{-1}}{1-\frac{3}{4} z^{-1}+\frac{1}{8} z^{-2}}$$Consider the followin...

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...

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}+...

Bode plot of a stable system is shown in the given figure. The transfer function of the system is $\cdots$