Error Coefficients

Q. A unity-feedback control system has the open-loop transfer function $G\left(s\right)=\frac{4(1+2s)}{s^2(s+2)}$ if the input to the system is a unit ramp, the steady-state error will be

1. $0$
2. $0.5$
3. $2$
4. Infinity

Q. The steady state error of a unity feedback linear system for a unit step input is 0.1. The steady state error of the same system, for a pulse input r(t) having a magnitude of 10 and aduration of one second, as shown in the figure is

1. 0
2. 0.1
3. 1
4. 10

Q. If the closed-loop transfer function $T\left(s\right)$of a unity negative feedback system is given by
$T\left(s\right)=\frac{a_{n-1}s+a_n}{s^n+a_1{s}^{n-1}+...+a_{n-1}s+a_n}$ then the steady state error for a unit ramp input is

1. $\frac{a_n}{a_{n-1}}$
2. $\frac{a_n}{a_{n-2}}$
3. $\frac{a_{n-2}}{a_{n-1}}$
4. zero

Q. A ramp input applied to an unity feedback system results in $5\%$ steady state error. The type number and zero frequency gain of the system are respectively

1. $1\text{and}20$
2. $0\text{and}20$
3. $1\text{and}1/20$
4. $1\text{and}1/20$

Q.

The open loop transfer function
$G\left(s\right)=\frac{(s+1)}{s^p(s+2)(s+3)}$
where $p$ is an integer, is connected in unity feedback configuration as shown in the figure.

Given that the steady state error is zero for unit step input and is $6$ for unit ramp input, the value of the parameter $p$ is .

1. 1

Q. The unity feedback system shown in fig. has:

1. Zero steady state position error
2. Zero steady state velocity error
3. Steady state position error $\frac{K}{10}$ units
4. Steady state velocity error $\frac{K}{10}$ units