PYQs Based Test - 04 : Control Systems

The open loop transfer function of a unity negative feedback control system is given by

$G\left(s\right)=\frac{150}{s\left(s+9\right)\left(s+25\right)}$

The gain margin of the system is

The asymptotic Bode magnitude plot of a lead network with its pole and zero on the left half pf the s-plane is shown in the adjoining figure. The frequency at which the phase angle of the network is maximum (in rad/s) is

Consider a standard negative feedback configuration with $G\left(s\right)=\frac{1}{\left(s+1\right)\left(s+2\right)}$ and $H\left(s\right)=\frac{s+\alpha }{s}$. For the closed loop system to have poles on the imaginary axis, the value of α should be equal to (up to one decimal place) _____.

The forward path transfer function L(s) of the control system shown in Figure (a) has the asymptotic Bode plot shown in Figure (b). If the disturbance d(t) is given by d (t) 0.1sin(ωt) where ω = 5 rad/s, the steady-state amplitude of the output y(t) is

Consider the standard negative feedback configuration with $G\left(s\right)=\frac{s^2+0.2s+100}{s^2-0.2s+100}$ and $H\left(s\right)=\frac{1}{2}$. The number of clockwise encirclements of (−1, 0) in the Nyquist plot of the Loop transfer-function G(s)H(s) is _____.