In The Figure Below The Goal Is To Select A Suitable K So That The Response To A Unit Step Command Od T A For T 0 1 (12.33 KiB) Viewed 16 times
In the Figure below, the goal is to select a suitable K so that the response to a unit step command ød(t)= A for 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 º(s)/0,(s) (b) Determine the roots of the characteristic equation for K = 3. (c) Using the concept of dominant roots, find the expected overshoot and peak time for the approximate second-order system, (d) Plot using MATLAB the actual response o(t) due to a unit step a(t) and compare with the approximate results of part (e). (e) Select the gain K so that the percentage overshoot becomes 25%. What is the resulting peak time in this case? (t) Determine the steady-state error for a ramp input of 20u(t) (1/6) Aileron actuator к $+7 Aircraft dynamics 12 (s + 2) Pus) Roll angle Gyro K-1
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