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Cruise ships are usually stabilized in roll to improve passenger comfort on turbulent seas, often using under water fins to provide roll torques. The transfer function for a large cruise ship might be as follows, 8(s) G(s) mgla 0.02 T(s) Js² + Bs+mgl s² +0.002s + 0.01 Where is the ship roll angle with respect to vertical, as depicted in figure 2, and T is the sum of the moments acting on the ship, from wave excitation and stabilizer fin actuation. A block diagram of the system is presented in figure 3. Desired Roll Angle O₁(s) + Figure 2: Front view of cruise ship y(s) Wave Angle Ky Stabilizing Controller T,(s) Ship Model B(s) E(s) G(s) |G₂(s)= T (8) mgl Js²+Bs+mgl Ship Roll Angle T(s) Figure 3: Block diagram of cruise ship roll axis If the stabilization controller is a proportional derivative design, Ge(s) = Kas + Kp, what is the closed loop transfer function from wave angle to roll angle when the desired roll angle is zero? Assume Ky = 1. To deal with rogue waves and unsteady seas, find values of K, and K₁ so that the maximum over shoot to step input in wave angle does not exceed 0.02, and the settling time (2%) is 20 seconds.

Cruise ships are usually stabilized in roll to improve passenger comfort on turbulent seas, often using under water fins to provide roll torques. The transfer function for a large cruise ship might be as follows, 8(s) G(s) mgla 0.02 T(s) Js² + Bs+mgl s² +0.002s + 0.01 Where is the ship roll angle with respect to vertical, as depicted in figure 2, and T is the sum of the moments acting on the ship, from wave excitation and stabilizer fin actuation. A block diagram of the system is presented in figure 3. Desired Roll Angle O₁(s) + Figure 2: Front view of cruise ship y(s) Wave Angle Ky Stabilizing Controller T,(s) Ship Model B(s) E(s) G(s) |G₂(s)= T (8) mgl Js²+Bs+mgl Ship Roll Angle T(s) Figure 3: Block diagram of cruise ship roll axis If the stabilization controller is a proportional derivative design, Ge(s) = Kas + Kp, what is the closed loop transfer function from wave angle to roll angle when the desired roll angle is zero? Assume Ky = 1. To deal with rogue waves and unsteady seas, find values of K, and K₁ so that the maximum over shoot to step input in wave angle does not exceed 0.02, and the settling time (2%) is 20 seconds.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Cruise ships are usually stabilized in roll to improve passenger comfort on turbulent seas, often using under water fins to provide roll torques. The transfer function for a large cruise ship might be as follows, 8(s) G(s) mgla 0.02 T(s) Js² + Bs+mgl s² +0.002s + 0.01 Where is the ship roll angle with respect to vertical, as depicted in figure 2, and T is the sum of the moments acting on the ship, from wave excitation and stabilizer fin actuation. A block diagram of the system is presented in figure 3.
Transcribed Image Text:Cruise ships are usually stabilized in roll to improve passenger comfort on turbulent seas, often using under water fins to provide roll torques. The transfer function for a large cruise ship might be as follows, 8(s) G(s) mgla 0.02 T(s) Js² + Bs+mgl s² +0.002s + 0.01 Where is the ship roll angle with respect to vertical, as depicted in figure 2, and T is the sum of the moments acting on the ship, from wave excitation and stabilizer fin actuation. A block diagram of the system is presented in figure 3.
Desired Roll Angle O₁(s) + Figure 2: Front view of cruise ship y(s) Wave Angle Ky Stabilizing Controller T,(s) Ship Model B(s) E(s) G(s) |G₂(s)= T (8) mgl Js²+Bs+mgl Ship Roll Angle T(s) Figure 3: Block diagram of cruise ship roll axis If the stabilization controller is a proportional derivative design, Ge(s) = Kas + Kp, what is the closed loop transfer function from wave angle to roll angle when the desired roll angle is zero? Assume Ky = 1. To deal with rogue waves and unsteady seas, find values of K, and K₁ so that the maximum over shoot to step input in wave angle does not exceed 0.02, and the settling time (2%) is 20 seconds.
Transcribed Image Text:Desired Roll Angle O₁(s) + Figure 2: Front view of cruise ship y(s) Wave Angle Ky Stabilizing Controller T,(s) Ship Model B(s) E(s) G(s) |G₂(s)= T (8) mgl Js²+Bs+mgl Ship Roll Angle T(s) Figure 3: Block diagram of cruise ship roll axis If the stabilization controller is a proportional derivative design, Ge(s) = Kas + Kp, what is the closed loop transfer function from wave angle to roll angle when the desired roll angle is zero? Assume Ky = 1. To deal with rogue waves and unsteady seas, find values of K, and K₁ so that the maximum over shoot to step input in wave angle does not exceed 0.02, and the settling time (2%) is 20 seconds.
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