Basic of Control Systems · Control Systems · GATE ECE

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

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

Negative feedback in a closed-loop control system DOES NOT

The impulse response of an LTI system can be obtained by

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.

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