Recent questions tagged control-systems

A certain linear, time-invariant system has the state and output representation shown below:\[\left(\begin{array}{l}\dot{x}_{1} \\\dot{x}_{2}\end{array}\right)=\left(\beg...

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 feedback amplifier, the open loop transfer function has three poles at $100 \; k \; \mathrm{rad} / \mathrm{s}, 1 \; \mathrm{M} \; \mathrm{rad} / \mathrm{s}$ and $10...

Negative feedback in an amplifierreduces gainincreases frequency and phase distortionsreduces bandwidthincreases noise

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$

The gain margin (in $d \mathrm{B}$ ) of a system a having the loop transfer function\[\mathrm{G}(s) \mathrm{H}(s)=\frac{\sqrt{2}}{s(s+1)} \text { is }\]$0$$3$$6$$\infty$

The system moded described by the state equations is\[\begin{array}{l}\mathrm{X}=\left[\begin{array}{cc}0 & 1 \\2 & -3\end{array}\right] x+\left[\begin{array}{l}0 \\1\end...

The phase margin (in degrees) of a system having the loop transfer function\[\mathrm{G}(s) \mathrm{H}(s)=\frac{2 \sqrt{3}}{s(s+1)} \text { is }\]$45^{\circ}$$-30^{\circ}$...

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...

For the system described by the state equation\[x=\left[\begin{array}{ccc}0 & 1 & 0 \\0 & 0 & 1 \\0.5 & 1 & 2\end{array}\right] x+\left[\begin{array}{l}0 \\0 \\1\end{arra...

The loop transfer function of a feedback control system is given by\[\mathrm{G}(s) \mathrm{H}(s)=\frac{\mathrm{K}(s+1)}{s\left(1+\mathrm{T}_{S}\right)(1+2 s)}, \mathrm{K}...

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...

Consider a feedback system with the open-loop transfer function, given by\[\mathrm{G}(s) \mathrm{H}(s)=\frac{\mathrm{K}}{s(2 s+1)}\]Examine the stability of the closed-lo...

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 equivalent of the block diagram in the figure, given in

If the characteristic equation of a closed-loop system is $s^{2}+2 s+2=0$, then the system isoverdampedcritically dampedunderdampedundamped

The root-locus diagram for a closed-loop feedback system is shown in the figure is. The system is overdamped.only if $0 \leq \mathrm{K} \leq 1$only if $1 < \text{K} < 5$o...

The Nyquist plot for the open-loop transfer function $G(s)$ of a unity negative feedback system is shown in the figure, if $G(s)$ has no pole in the right-half of $s$-pla...

An electrical system and its signal-flow graph representations are shown in the figure respectively. The values of $G_{2}$ and $H$, respectively, are$\frac{Z_3(s)}{Z_2(s)...

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$

The feeback control system in the figure is stable.for all $K \geq 0$only if $\mathrm{K} \geq 1$only if $0 \leq \mathrm{K}<1$only if $0 \leq K \leq 1$

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$

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 $\mathrm{Y}(s) / \mathrm{U}(\mathrm{s})$ 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...

The circuit in figure employs positive feedback and is intended to generate sinusoidal oscillation. If at a frequency $f_{0}, \mathrm{~B}(f)=\Delta \frac{V_{f}(f)}{V_{0}(...