On the existence of an optimal control of ship automatic steering instruments |
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| Authors: | Gao?Cunchen Email author" target="_blank">Guo?Jifeng?Email author |
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| Institution: | 1. Department of Mathematics, Ocean University of China, Qingdao 266071, P.R. China
2. Department of Mathematics, Ocean University of China, Qingdao 266071, P.R. China;Qingdao Technological University, Qingdao 266520, P.R. China |
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| Abstract: | The existence of linear quadratic optimal control of ship automatic steering instruments is studied. Firstly, the sufficient conditions for the quadratic integrability of the solutions of linear second order time-variant differential equations are developed. Secondly, the optimal control form of the ship automatic steering instrument is obtained by using the dynamic programming method, which guarantees a minimal ship sway range, during long-distance navigation, by using as little energy as possible. Finally, based on the above mentioned sufficient conditions, the conditions for the realization of optimal control are obtained, which provides a foundation for choosing the weighted coefficients for optimal control in engineering. |
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| Keywords: | ship automatic steering instrument optimal control quadratic integrability |
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