Basic of Control Systems · Control Systems · GATE ECE

For the system shown in the figure, Y (s) / X (s) = __________.

Consider a stable system with transfer function $$$G\left(s\right)=\frac{s^p+b_1s^{p-1}+....+b_p}{s^q+a_1s^{q-1}+....+a_q}$$$ Where $$b_1,.......,b_p$$ and $$a_1,.......,a_q$$ are real valued constants. The slope of the Bode log magnitude curve of G(s) converges to -60 dB/decade as $$\omega\rightarrow\infty$$ . A possible pair of values for p and q is

The impulse response of an LTI system can be obtained by

Negative feedback in a closed-loop control system DOES NOT

Despite the presence of negative feedback, control systems still have problems of instability because the

The transfer function of a tachometer is of the form

The transfer function of a linear system is the

Tachometer feedback in a d.c. position control system enhances stability.

$$ \text { Consider the following closed loop control system } $$

where $G(s)=\frac{1}{s(s+1)}$ and $C(s)=K \frac{s+1}{s+3}$. If the steady state error for a unit ramp input is 0.1 , then the value of $K$ is $\_\_\_\_$ .

Let x(t) be the input to a linear, time-invariant system. The required output is 4x(t-2). The transfer function of the system should be

A linear time invariant system has an impulse response e^2t, t > 0. If the initial conditions are zero and the input is e^3t, the output for t > 0 is