The effects of shipboard steering machinery dynamics on rudder roll stabilization systems.
Wendel, Michael W.
Schmidt, Louis V.
Papoulias, Fotis A.
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The surface ship rolling motion equation is modeled as a second order system, with a natural frequency of con — 0.4/.sec and a dimcnsionless damping ratio of £ = 0.08. The model is subjected to a random forcing function, which has a Gaussian probability distribution and can be considered as "white noise", and placed into State-Space form. State variable feedback of roll rate is applied and the system discretized to match digital control. Roll angle time histories are developed for a range of feedback gains and compared. Additionally, steering machinery dynamics are modeled by a first order system and time constants varied to determine the effects of rudder dynamics on the feedback system.
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