Designing with Root Locus

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Jorge_Luis Quintero 2012-7-1

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https://ww2.mathworks.cn/matlabcentral/answers/42475-designing-with-root-locus

Hi all. Im very confused right now trying to find the answers for the problem below:

R-----(sum block)-------(s+a/s+20)----(20/s*3+8s*2-18s+20)------>C
                                                                                                |-----------------------(K/s+b)---------------|
        The feedback  block is (K/s+b) and is negative feedback
Plot the root locus for a = 1, b = 20 Determine the range of K for the system is stable. Graph as the settling time varies and the rate of overshoot for the set of K values that make the system stable. Plot the response to a step input and then to a unit ramp function of time. Plot the error function versus time and determine the steady-state error for both inputs.

So when im trying to solve this problems, Im doing as matlab says in http://www.mathworks.com/help/toolbox/control/ref/rlocus.html so My system becomes sys=(s+a/s+20)(20/s*3+8s*2-18s+20)(1/s+b).

I dont know for sure if this is correct, so i hope someone could help me here in this problem, and besides of this, how could i get the error function versus time and the steady-state error for both inputs ( step and ramp).