The -loop control system is described by the block diagram below Note that the a

Question

The -loop control system is described by the block diagram below Note that the angular velocity is using a and used in an inner feedback The open-loop transfer function of the plant from the signal (the control signal to the altitude thrusters) to the horizontal velocity (t) is G(s) = For k_1 = k_2 = 1 and k_3 = 2. (a) Consider trying to design a proportional controller F(s) = K, which gives the characteristic equation s^2(s + 2) + K = 0. Sketch the root locus for the closed-loop system w.r.t. K in the figure below. Will it be possible to obtain a stable closed loop system using proportional control?

Explanation / Answer

Here, Characteris equation does not satisfy the R-H criteria, so it can't be stable. another way if we draw the root locus then due to addition of poles, root locus will move towards imaginary axis which indicates that it is not stable.

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