PYQs Based Test - 04 : Control Systems

Consider a system with transfer-function G(s) = 2/(s + 1). A unit step function u(t) is applied to the system, which results in an output y(t). If $\underset{t\to \infty }{\lim }$ e(t) = y(t) − u(t), then $\underset{t\to \infty }{\lim }$ e(t)limt → ∞ e( t )limt→∞⁡

The loop transfer function of a negative feedback system is given by $G\left(s\right)H\left(s\right)=\frac{K}{s\left(s+2\right)\left(s+6\right)}$, where K > 0. The value of K at the breakaway point of the root locus for the above system (rounded off to one decimal place) is

Match the unit-step responses (1), (2) and (3) with the transfer functions P(s), Q(s) and R(s), given below.

The approximate phase response of $\frac{{100}^2{e}^{-0.01s}}{s^2+0.2s+{100}^2}$ is

The open loop transfer function of a system is $G\left(s\right)=\frac{s^2+6s+10}{s^2+2s+2}$. The angles of arrival of its root loci are