T5 - operated by a feedback control (using roll angle...

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ME360 Winter 2011 Tutorial #5 4. Ch. 3-Time Response The transfer function for a small vessel with the wave disturbance ? ( ± ) as an input and the roll angle ² ( ± ) as an output can be written as a second order dynamic system, for example, 25 . 0 35 . 0 25 . 0 ) ( ) ( ) ( 2 + + = Θ = s s s W s s G . 1. Poles a. Plot the poles on the s-plane and indicate d n and ω θ ζ , , , on the plot. b. Based on the poles, sketch the time response of the system. 2. Time Response Criteria a. What is the %OS, the peak time ( ³ ´ ), rise time ( ³ µ ), and 5% settling time ( ³ )? b. What can be done to reduce the overshoot? c. Shade in the area on the s-plane corresponding to a minimum damping of 707 . 0 = . To reduce the rolling motion, some ships are equipped with small fins called the stabilizer which is
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Unformatted text preview: operated by a feedback control (using roll angle sensor and fin actuators). 3. Proportional Control a. Draw a block diagram for the system and include a proportional controller and a negative unity feedback loop. b. What value of K p is required to achieve a damping of 707 . = with K p > 0. 4. PD Control a. Replace the proportional controller with a PD controller. Design the controller such that the damped frequency remains the same and the damping ratio becomes 707 . = ?...
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This note was uploaded on 09/14/2011 for the course ME 360 taught by Professor Soojeon during the Winter '11 term at Waterloo.

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