List of top Control Systems Questions

Consider a unity-gain negative feedback system consisting of the plant \(G(s)\) and a proportional-integral (PI) controller. \[ G(s) = \frac{1}{s-1} \] PI controller: \(C(s) = K_p + \frac{K_i}{s} = \frac{K_p s + K_i}{s}\). Given \(K_p = 3, K_i = 1\). For a unit step reference input, the final values of the controller output and the plant output are asked.

In the Nyquist plot of the open-loop transfer function \[ G(s)H(s) = \frac{3s+5}{s-1} \] corresponding to the feedback loop shown in the figure, the infinite semi-circular arc of the Nyquist contour in the \(s\)-plane is mapped into a point at: \begin{center} \includegraphics[width=0.5\textwidth]{05.jpeg} \end{center}

The open-loop DC gain of a unity negative feedback system with closed-loop transfer function $\frac{S+3}{ 2s^2+5s +8} $ is

The overall transmittance for the signal flow graph shown in figure is

The first two rows in the Routh table for characteristics equation of a certain closed loop control system are given as:-

S3	1	(2K+3)
S2	K	4

The range of K for which the system is stable is-

For u(t) input find out Steady state error in term of k