Abstract
This paper treats the analysis of the time optimal control problem in the steering of ships. The equation of steering motions of ships can be described as a differential equation of [1st] order as follows : Tdψ/dt+ψ=Kδwhere T is a constant which represents the quick responsibility of -ships, and K is a constant which represents the turning quality.The performance of the turning motion of ships is decided by these maneuverability indices, T and K.On the other hand, some optimal control problems in automatic control system are solved by application of the Pontryagin's Maximum Principle.The problem of optimal control treated here is to minimize the steering time which ships take to turn an assigned turning angle, by application of the Pontryagin's Maximum Principle and maneuverability indices T and K. The turning test on the actual ship proved this method was proper.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
