3. (a) (50%) Consider the block diagram shown below. The third order process shown is controlled by a simple proportiona
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3. (a) (50%) Consider the block diagram shown below. The third order process shown is controlled by a simple proportiona
3. (a) (50%) Consider the block diagram shown below. The third order process shown is controlled by a simple proportional controller. What range of permitted values for the proportional gain Kc may be employed? Estimate the percentage offset in the response signal that would be observed for a unit step change in the set-point if the maximum allowed value for the proportional gain was employed (note that sN(s) → 0 as s → 0). (b) (50%) Plot the root locus for this system. R(s) I(s) X(s) Σ KC 2 (3s +1)’ (2s +1) + N(s) 0.3 Σ
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