List of top Electronics and Communication Engineering Questions on Control Systems asked in GATE EC

A closed loop system is shown in the figure where $k > 0$ and $\alpha > 0$. The steady state error due to a ramp input \((R(s)=\alpha/s^{2})\) is _____________

In the following block diagram, R(s) and D(s) are two inputs. The output Y(s) is expressed as Y(s) = G$_1$(s)R(s) + G$_2$(s)D(s).
G$_1$(s) and G$_2$(s) are given by 

The asymptotic magnitude Bode plot of a minimum phase system is shown in the figure. The transfer function of the system is $(s) = \frac{k(s+z)^a}{s^b(s+p)^c}$, where k, z, p, a, b and c are positive constants. The value of $(a+b+c)$ is ___________ (rounded off to the nearest integer). 

 

In the circuit shown below, $D_1$ and $D_2$ are silicon diodes with cut-in voltage of 0.7 V. $V_{IN}$ and $V_{OUT}$ are input and output voltages in volts. The transfer characteristic is _____________

In the circuit shown below, $D_1$ and $D_2$ are silicon diodes with cut-in voltage of 0.7 V. $V_{IN}$ and $V_{OUT}$ are input and output voltages in volts. The transfer characteristic is _____________

A unity feedback system that uses proportional-integral (PI) control is shown in the figure. 

The electrical system shown in the figure converts input source current \( i_s(t) \) to output voltage \( v_o(t) \). \[ \text{Current } i_L(t) \text{ in the inductor and voltage } v_C(t) \text{ across the capacitor are taken as the state variables, both assumed to be initially equal to zero, i.e., } i_L(0) = 0 \text{ and } v_C(0) = 0. \text{ The system is} \]

The complete Nyquist plot of the open-loop transfer function \( G(s)H(s) \) of a feedback control system is shown in the figure. If \( G(s)H(s) \) has one zero in the right-half of the s-plane, the number of poles that the closed-loop system will have in the right-half of the s-plane is 

The block diagram of a feedback control system is shown in the figure. 

The transfer function \( \frac{Y(s)}{X(s)} \) of the system is