1999
DOI: 10.1016/s0029-8018(98)00064-x
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Solution of the nonlinear roll model by a generalized asymptotic method

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Cited by 30 publications
(7 citation statements)
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“…7. The modified PID controller signal is demonstrated as follow: (20) Prettier form of controller can be given as follow: (21) Transfer function of closed loop system with modified PID controller is given below: (22) After one more step transfer function can be obtained: (23) As seen in above equation the system with Modified PID controller has no zeros. Its advantages are to prevent earlier peak and higher overshoot.…”
Section: Modified Pid Controllermentioning
confidence: 99%
“…7. The modified PID controller signal is demonstrated as follow: (20) Prettier form of controller can be given as follow: (21) Transfer function of closed loop system with modified PID controller is given below: (22) After one more step transfer function can be obtained: (23) As seen in above equation the system with Modified PID controller has no zeros. Its advantages are to prevent earlier peak and higher overshoot.…”
Section: Modified Pid Controllermentioning
confidence: 99%
“…However, it is hard to obtain the exact analytical solution for the nonlinear differential equation with respect to roll response. Therefore, various approximate analytical methods have been developed for solving the nonlinear roll equation to this day, such as the multi-scale method [2], perturbation-based method [3], Krylov-Bogoliubov asymptotic method [4], and so on.…”
Section: Introductionmentioning
confidence: 99%
“…Sharif et al (1996) describes the final phase of full-scale sea trials utilizing the existing rudders and fins on board a frigate-sized warship, where various control strategies were employed. Taylan (1999) arrived at the solution of non-linear roll model by a generalized asymptotic method. Taylan (2000) investigated the effects of nonlinear damping and nonlinear restoring.…”
Section: Introductionmentioning
confidence: 99%