A certain field-controlled dc motor with load has the

Chapter , Problem 11.32

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A certain field-controlled de motor with load has the following parameter values.

\(\begin{array}{rlrl}L & =2 \times 10^{-3} \mathrm{H} & R & =0.6 \Omega \\K_T & =0.04 \mathrm{~N} \cdot \mathrm{m} / \mathrm{A} & & c=0 \\I & =6 \times 10^{-5} \mathrm{~kg} \cdot \mathrm{m}^2 & &\end{array}\)

Compute the gains for a state variable feedback controller using P action to control the motor's angular position. The desired dominant time constant is 0.5 s. The secondary roots should have a time constant of 0.05 s and a damping ratio of \(\zeta = 0.707\).

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