Recent questions tagged transfer-function

Which of the following points is NOT on the root locus of a system with the open-loop transfer function $\mathrm{G}(s) \mathrm{H}(s)=\frac{k}{s(s+1)(s+3)}$$s=-\mathrm{j} ...

The phase margin of a system with the open-loop transfer function $\mathrm{G}(s) \mathrm{H}(s)=\frac{(1-s)}{(1+s)(2+s)}$ is$0^{\circ}$$63.4^{\circ}$$90^{\circ}$$\infty$

The transfer function of a system is $\mathrm{G}(s)=\frac{100}{(s+1)(s+100)}$. For a unit-step input to the system the approximate settling time for $2 \%$ criterion is$1...

A unity feedback system has the plant transfer function $G_{p}(s)=\frac{1}{(s+1)(2 s+1)}$Determine the frequency at which the plant has a phase lag of $90^{\circ}$. An in...

The Nyquist plot of an all-pole second order open-loop system is shown in the figure is. Obtain the transfer function of the system.

The transfer function of a tachometer is of the form$\mathrm{Ks}$$\frac{\mathrm{K}}{\mathrm{s}}$$\frac{\mathrm{K}}{(s+1)}$$\frac{\mathrm{K}}{s(s+1)}$

The transfer function of a zero-order-hold system is$(1 / s)\left(1+e^{-sT}\right)$$(1 / s)\left(1-e^{-sT}\right)$$1-(1 / s) e^{-sT}$$1+(1 / s) e^{-s T}$

The transfer function of a phase lead controller is $\frac{1+3 \mathrm{Ts}}{1+\mathrm{Ts}}$. The maximum value of phase provided by this controller is$90^{\circ}$$60^{\ci...

The transfer function of a system is$$\frac{2 s^2+6 s+5}{(s+1)^2(s+2)} $$The characteristic equation of the system is$2 s^2+6 s+5=0$$(s+1)^2(s+2)=0$$2 s^2+6 s+5+(s+1)^2(s...

Let $x(t)$ be the input to a linear, time-invariant system. The required output is $4 x(t-2)$. The transfer function of the system should be$4 e^{j4 \pi f}$$2 e^{-j8 \pi ...

The signal flow graph of a system is shown in the figure. The transfer function $\frac{C(s)}{R(s)}$ of the system is$\frac{6}{s^{2}+29 s+6}$$\frac{6 s}{s^{2}+29 s+6}$$\fr...

The approximate Bode magnitude plot of a minimum-phase system is shown in the figure. The transfer function of the system is$10^8 \frac{(s+0.1)^3}{(s+10)^2(s+100)}$$10^{7...

A second-order system has the transfer function$\frac{C(s)}{R(s)}=\frac{4}{s^{2}+4 s+4}$.With $r(t)$ as the unit-step function, the response $c(t)$ of the system is repre...

The gain margin for the system with open-loop transfer function $\mathrm{G}(s) \mathrm{H}(z)=\frac{2(1+z)}{s^{2}}$, is$\infty$$0$$1$$-\infty$

Consider the Bode magnitude plot shown in the given figure. The transfer function $\mathrm{H}(s)$ is$\frac{(s+10)}{(s+1)(s+100)}$$\frac{10(s+1)}{(s+1)(s+100)}$$\frac{10^{...

The transfer function $H(s)=\frac{V_{0}(s)}{V_{i}(s)}$ of an R-L-C circuit is given by\[H(s)=\frac{10^{6}}{s^{2}+20 s+10^{6}}\]The Quality factor (Q-factor) of this circu...

For the circuit shown in the figure, the initial conditions are zero. Its transfer function$$ H(s) = \frac{V_{c}(s)}{V_{i}(s)}$$$\frac{1}{s^{2}+10^{6} s+10^{6}}$$\frac{10...

A causal system having the transfer function $\mathrm{H}(s)=\frac{1}{s+2}$ is excited with $10 u(t)$. The time at which the output reaches $99 \%$ of its steady state val...

A system has poles at $0.01 \mathrm{~Hz}, 1 \mathrm{~Hz}$ and $80 \mathrm{~Hz}$; zeros at $5 \mathrm{~Hz}, 100 \mathrm{~Hz}$ and $200 \mathrm{~Hz}$. The approximate phase...

Consider the signal flow graph shown in the figure below. The gain $\frac{x_{5}}{x_{1}}$ is$\frac{1-\left(b e+c f+d g\right)}{a b c}$$\frac{b e d g}{1-(b e+c f+d g)}$$\fr...

The open-loop transfer function of a unity feedback system is $G(s)=\frac{K}{s\left(s^{2}+s+2\right)(s+3)}$The range of $\mathrm{K}$ for which the system is stable is$\fr...

The output $y(t)$ of a linear time invariant system is related to its input $x(t)$ by the following equation:$y(t)=0.5 x\left(t-t_{d}+\mathrm{T}\right)+x\left(t-t_{d}\rig...

The polar diagram of a conditionally stable system for open loop gain $\text{K}=1$ is shown in the figure. The open loop transfer function of the system is known to be st...

In the derivation of expression for peak percent overshoot,$M_{p}=\exp \left(\frac{-\pi \zeta}{\sqrt{1-\zeta^{2}}}\right) \times 100 \%$, which one of the following condi...

Statement for Linked Answer Questions 82a and 82b:The dopen loop transfer function of a unity feedback system is given by$$\mathrm{G}(s)=\frac{3 e^{-2}}{s(s+2)}$$The gain...

The transfer function of a linear system is theratio of the output, $v_{0}(t)$, and input, $v_{i}(t)$ratio of the derivatives of the output and the inputratio of the Lapl...

Non-minimum phase transfer function is defined as the transfer function.which has zeros in the right-half $S$-planewhich has zeros only in the left-half $S$-planewhich ha...

The open-loop transfer function of a unity-gain feedback control system is given by $$ \text{G}(s)=\frac{\text{K}}{(s+1)(s+2)} $$ The gain margin of the system in $\text{...

Consider two transfer functions $$ \mathrm{G}_1(s)=\frac{1}{s^2+a s+b} \text { and } \mathrm{G}_2(s)=\frac{s}{s^2+a s+b} $$ The $3\text{-dB}$ bandwidths of their frequenc...

The unit-step response of a system starting from rest is given by$\qquad C(t)=1-t^{-2 t} \text { for } t \geq 0$The transfer function of the system is$\frac{1}{1+2 s}$$\f...