A method of the guaranteeing optimization for the dynamics of ship moving in wave
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 13 (2017) no. 4, pp. 354-364 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

With the further development of the world economy, the corresponding transportation infrastructure has also brought about many problems, which, foremost, are associated with the traffic safety of vehicles. In particular, the issue of ship traffic safety has become even more important as maritime traffic continues to grow. The main attention in this article is given to the development of methods and the design of computational algorithms for the synthesis of multipurpose control in marine autopilots, the main purpose of which is to counteract the effects of sea waves in order to preserve the movement at a given course. Currently, various approaches are used for the design of autopilots, a large number of scientific papers have been published, but the problem of the synthesis of control laws for these systems has not been exhaustively resolved. First of all, this is due to their multipurpose mission, which determines the need for work in various driving regimes with conflicting requirements for the quality of dynamic processes. In this paper, we propose a new practically oriented method for the synthesis of control laws for autopilots, which is based on feedbacks with a multipurpose structure. However, these works of optimization approach had assumed that the initial data includes a known frequency spectrum of sea waves, the knowledge about which comes in the course of identification, realized in the system of adaptive autopilot reconfiguration. Naturally, such a consideration of the actual conditions of navigation significantly improves the quality of management processes. But adaptive reconfiguration, for lots of reasons, cannot always be applied in practice. For example, it may not allow enough time for the system's operating conditions. To this end we have developed a simple constructive method for calculating the transfer function for a dynamic filter as part of the heading control law implemented by a marine autopilot. This method is based on the ideology $H_\infty$-optimization, which makes it possible to ensure a guaranteed quality of filtration when moving in sea waves. Unlike other widely used approaches, the indicated purpose will be achieved by using the specialized multipurpose structure of the control law. The approach has lot of advantages in comparison with alternative options, namely flexibility configuration in real conditions of navigation. The proposed approach can be expanded by applying it to control marine unmanned objects or floating offshore structures. Refs 11. Fig. 1.
Keywords: method of guarantee optimization, $H_\infty$-optimization, multi-purpose structure.
@article{VSPUI_2017_13_4_a1,
     author = {H. Wang and E. I. Veremey and Y. Xue},
     title = {A method of the guaranteeing optimization for the dynamics of ship moving in wave},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {354--364},
     year = {2017},
     volume = {13},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2017_13_4_a1/}
}
TY  - JOUR
AU  - H. Wang
AU  - E. I. Veremey
AU  - Y. Xue
TI  - A method of the guaranteeing optimization for the dynamics of ship moving in wave
JO  - Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ
PY  - 2017
SP  - 354
EP  - 364
VL  - 13
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VSPUI_2017_13_4_a1/
LA  - ru
ID  - VSPUI_2017_13_4_a1
ER  - 
%0 Journal Article
%A H. Wang
%A E. I. Veremey
%A Y. Xue
%T A method of the guaranteeing optimization for the dynamics of ship moving in wave
%J Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ
%D 2017
%P 354-364
%V 13
%N 4
%U http://geodesic.mathdoc.fr/item/VSPUI_2017_13_4_a1/
%G ru
%F VSPUI_2017_13_4_a1
H. Wang; E. I. Veremey; Y. Xue. A method of the guaranteeing optimization for the dynamics of ship moving in wave. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 13 (2017) no. 4, pp. 354-364. http://geodesic.mathdoc.fr/item/VSPUI_2017_13_4_a1/

[1] Fossen T. I., Guidance and Control of Ocean Vehicles, John Wiley Sons Press, New York, 1999, 480 pp.

[2] Perez T., Ship Motion Control: Course Keeping and Roll Stabilization using Rudder and Fins, Springer-Verlag, London, 2005, 300 pp.

[3] Hammound S., “Ship Motion Control Using Multi-Controller Structure”, Journal of Maritime Research, IX:1 (2012), 45–52

[4] Veremey E., Korchanov V., Korovkin M., Pogozhev S., Computer modeling of motion control systems for marine mobile objects, Research Institute of Chemistry of Saint Petersburg University Publ., Saint Petersburg, 2002, 370 pp. (In Russian)

[5] Veremey E., “Synthesis of the laws of multi-purpose control of the motion of marine objects”, Gyroscopy and navigation, 2009, no. 4, 3–14 (In Russian)

[6] Veremey E., “Algorithms for solving one class of $H_\infty$-optimization problems for control systems”, Proceedings of the Russian Academy of Sciences. Theory and systems control, 2011, no. 3, 52–61 (In Russian)

[7] Veremey E. I., “Optimization of filtering correctors for autopilot control laws with special structures”, Optimal Control Applications and Methods, 37:2 (2016), 323–339 | DOI | MR | Zbl

[8] Veremey E., “Irregular $H_\infty$-optimization of control laws for marine autopilots”, Intern. Conference on Constructive Nonsmooth Analysis and Related Topics, CNSA, Dedicated to the memory of V. F. Demyanov (Saint Petersburg, 2017), IEEE Conference Publ., 2017, 345–348

[9] Doyle J., Francis B., Tannenbaum A., Feedback control theory, v. XI, Macmillan Publ. Co., New York, 1992, 227 pp. | MR

[10] Boyd S., El Ghaoui L., Feron E., Balakrishnan V., Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia, 1994, 193 pp. | MR | Zbl

[11] Veremey E., Sotnikova M., “Spectral Approach to $H_\infty$-Optimal SISO Synthesis Problem”, WSEAS Transactions on Systems and Control, 9 (2014), 43, 415–424