The open-loop transfer function for a unity feedback system is: k G(s) = (s² + 2s + 2)(s+2) (a) Draw the root-locus for the closed-loop system, showing all relevant steps and details. (b) Determine the maximum allowable gain k of the amplifier for a stable system.

Consider the open loop transfer function, below, which is placed in a unity gain feedback configuration. (a) Draw the entire polar (Nyquist) plot of this system (b) Consider the portion of the polar plot from o = 0* to w = 0* , determine & apply the Nyquist criterion to determine the stability of the system. If the system is unstable, determine the number of closed loop poles in the RHP. 5 (s-2) G(s)- 3(s+1)(s-1)

Control System  Answer with an explanation would be highly appreciated. (a) Determine the location(s) of the (finite) open-loop zero(s).  open-loop zero(s) at s = ? (b) Determine the location(s) of the open-loop pole(s). open-loop pole(s) at s = ?