Question

Consider proportional feedback control as shown below. r(t) For each G(s) in the following problems A. Sketch the root locus. Clearly show the open-loop poles and zeros, and the high-gain asymptotes on your sketch. Calculate the centroid to assure that the high gain asymptotes are accurate. B. If your sketch reveals any break-in or break-away points, calculate those location C. Does your sketch reveal a jo- crossing? If so, stability may be an issue. D. A damping ratio of 7- 0.707 is often desirable since it reptresents a good trade off between stability and speed at response. Locate any complex conjugate pole pair with a damping ratio of f Estimate on from your results Write a MATLAB program to generate the root locus. The root locus should agree with your results. Include a printout of your results and your root locus plot in your solution. E. 49. G(S)s(s+ 10)

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