Question

Problem 4: DPS.1 The roll control autopilot of a jet fighter is shown in the Figure. The goal is to select a suitable K so that the response to a unit step command ?d(t) = A, t ? 0, will provide a response ?(t) that is a fast response and has an overshoot of less than 20%. (a) Determine the closed-loop transfer function ?(S)/?d(S). (b) Determine the roots of the characteristic equation for K = 0.7, 3, and 6. (c) Using the concept of dominant roots, find the expected overshoot and peak time for the approximate second-order system. (d) Plot the actual response and compare with the approximate results of part (c). (e) Select the gain K so that the percentage overshoot is equal to 16%. What is the resulting peak time?

          Problem 4:
DPS.1 The roll control autopilot of a jet fighter is shown in the
Figure. The goal is to select a suitable K so that the response
to a unit step command ?d(t) = A, t ? 0, will provide a
response ?(t) that is a fast response and has an overshoot of
less than 20%.
(a) Determine the closed-loop transfer function ?(S)/?d(S).
(b) Determine the roots of the characteristic equation for
K = 0.7, 3, and 6.
(c) Using the concept of dominant roots, find the expected
overshoot and peak time for the approximate second-order system.
(d) Plot the actual response and compare with the approximate results of part (c).
(e) Select the gain K so that the percentage overshoot is equal to 16%. What is the resulting peak time?

Problem 4:
DPS.1 The roll control autopilot of a jet fighter is shown in the
Figure. The goal is to select a suitable K so that the response
to a unit step command ?d(t) = A, t ? 0, will provide a
response ?(t) that is a fast response and has an overshoot of
less than 20%.
(a) Determine the closed-loop transfer function ?(S)/?d(S).
(b) Determine the roots of the characteristic equation for
K = 0.7, 3, and 6.
(c) Using the concept of dominant roots, find the expected
overshoot and peak time for the approximate second-order system.
(d) Plot the actual response and compare with the approximate results of part (c).
(e) Select the gain K so that the percentage overshoot is equal to 16%. What is the resulting peak time?

Added by Craig O.

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