# Control exam in a week and am really stuck

1. Apr 30, 2008

### boabby1

I have no idea where to start with this question. Can anyone help?

Figure Q1 is a block diagram representation of a ship steering system where $$\Psi$$ is the actual heading angle, $$\Psi$$d is the demanded heading and $$\delta$$ is the input signal to the steering gear controlling rudder movement.

a) Calculate the autopilot controller values (Kc and T) so that the closed-loop system has a pair of complex conjugate poles with a damping ratio of 0.5 and an undamped natural frequency of 5 rad/s

b) Make a rough sketch of the root locus plot of the resulting system clearly showing the location of the asymptotes and the breakaway point.

I freely admit to not having a clue where to start with this. Needless to say it is troubling me. Any help would be greatly appreciated
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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