The stability of a submarine depthcontrol system illustrated

The stability of a submarine depth-control system, illustrated in the Figure, is to be analysed. A pressure transducer measures the actual depth which is compared to the desired depth. Any difference between the two is amplified and used to drive the stern plane actuator through an appropriate angle theta until the actual depth equals the desired depth. Construct the root locus diagram for this system for 0

Solution

To do all this one needs to find the transfer function which is

K*G(s)*1/s/[ 1+K*G(s) *1/s]

The main part of th eproblem can be solved by puttin gthe denominator to zero for s =.4, (s is a root of the characteristic eqn)

You get an equation for K. Solve for K

Regret cannot work ou the whole question for you. You must do this yourself for your exam/test