PYQs Based Test - 06 : Control Systems

In the given, figure, plant $G_p(s)=\frac{2.2}{(1+0.1s)(1+0.4s)(1+1.2s)}$ and compensator $G_c(s)=K\left(\frac{1+T_{1}s}{1+T_{2}s}\right)$. The external disturbance input is D(s). It is desired that when the disturbance is a unit step, the steady-state error should not exceed 0.1 unit. The minimum value of K is ______. (Round off to 2 decimal places.)

Consider a unity feedback configuration with a plant and a PID controller as shown in the figure. $G(s)=\frac{1}{(s+1)(s+3)}$ and $C(s)=K\frac{(s+3-j)(s+3+j)}{s}$ with K being scaler. the closed loop is

A closed-loop system is shown in the figure. The system parameter α is not known. The condition for asymptotic stability of the closed loop system is

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→∞⁡

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