Question

'Consider unity negative feedback applied to the system: k G(s) s(s2 +4s +5) (a) Find the value of k required to yield a steady state error of 10% in response to a unit ramp input: (b) Use a method other than the Routh-Hurwitz method to determine the limiting value of k = klim for closed-loop stability: (c) What is the frequency of oscillation of the system at k = klim? (d) What is the exact location of the real pole(s) for k = klim. (e) Give a complete sketch of the root locus (0 <k < 0) for this system assuming a unity feedback configuration; Make sure you show all the significant features on your sketch: Give particular attention to the angle of departure from the complex poles_ (f) Indicate on your root locus diagram the point at which the damping ratio of the dominant poles is 0.5.'

          'Consider unity negative feedback applied to the system: k G(s) s(s2 +4s +5) (a) Find the value of k required to yield a steady state error of 10% in response to a unit ramp input: (b) Use a method other than the Routh-Hurwitz method to determine the limiting value of k = klim for closed-loop stability: (c) What is the frequency of oscillation of the system at k = klim? (d) What is the exact location of the real pole(s) for k = klim. (e) Give a complete sketch of the root locus (0 <k < 0) for this system assuming a unity feedback configuration; Make sure you show all the significant features on your sketch: Give particular attention to the angle of departure from the complex poles_ (f) Indicate on your root locus diagram the point at which the damping ratio of the dominant poles is 0.5.'

Added by Kevin B.

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