Recent questions tagged control-systems

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...

Consider the unity negative feedback control system shown in the Figure.The value of gain $K(>0)$ at which the given system will remain marginally stable is $\_\_\_\_$.(A...

Consider the unity-negative-feedback system shown in Figure $(i)$ below, where gain $K \geq 0$. The root locus of this system is shown in Figure $(ii)$ below.For what val...

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...

Consider the polynomial $p(s)=s^{5}+7 s^{4}+3 s^{3}-33 s^{2}+2 s-40$. Let $(L, I, R)$ be defined as follows.$L$ is the number of roots of $p(s)$ with negative real parts....

Consider a system represented by the block diagram shown below. Which of the following signal flow graphs represent(s) this system? Choose the correct option(s).

​​​In the feedback control system shown in the figure below $G(s)=\frac{6}{s(s+1)(s+2)}$.$\text{R(s), Y(s)}$, and $\text{E(s)}$ are the Laplace transforms of $r(t), y(t)$...

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...

A cascade of common-source amplifiers in a unity gain feedback configuration oscillates whenthe closed loop gain is less than $1$ and the phase shift is less than $180^{\...

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...

A closed loop system is shown in the figure where $\mathrm{k}>0$ and $\alpha>0$. The steady state error due to a ramp input $\left(\mathrm{R}(\mathrm{s})=\alpha / \mathrm...

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...

The state equation of a second order system is$\dot{\boldsymbol{x}}(t)=\mathrm{A} \boldsymbol{x}(t), \; \boldsymbol{x}(0)$ is the initial condition.Suppose $\lambda_1$ an...

Consider the system shown below.If $K>0$, which of the following describes the system?Stable, causalStable, non-causalUnstable, non-causalUnstable, causalCannot be determ...

In the signal flow graph of the figure is $\text{y/ x}$ equals$3$$\frac{5}{2}$$2$None of the above

A certain linear time invariant system has the state and the output equations given below\[\begin{array}{c}{\left[\begin{array}{l}\dot{\mathrm{X}}_{1} \\\dot{\mathrm{X}}_...

In the case of a linear time invariant system(1) Poles in the right half plane implies Exponential decay of output(2) Impulse response zero for $t \leq 0$ impliesSystem i...

Negative feedback in(1) Voltage series configurationincrease input impedance(2) Current shunt configurationdecrease input impedanceincreases closed loop gainleads to osci...

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...

For the circuit shown in the figure is choose state variables $\mathrm{X}_{1}, \mathrm{X}_{2}, \mathrm{X}_{3^{\prime}}$, to be $i_{\mathrm{L} 1}(t), \mathrm{V}_{c2}(t), i...

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...

An amplifier with resistive negative feedback has two left half plane poles in its open-loop transfer function. The amplifierwill always be unstable at high frequencieswi...

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...

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 ...