An A Priori Planning of Joint Motions for USV as a Problem of Guaranteed Control/Estimation

Abstract:

Navigation and routes planning for a group of unmanned surface vessels (USV) jointly moving in complex environment, including circumvention of seashore and islands, are important applications of computer-based decision-making support systems. A group of objects as an open complex system includes several hierarchy levels and may be controlled by a decision-maker supported by information-analytical software and methodical maintenance. Planning, as a stage of management, includes an a priori phase guidance for all objects in the group, coordinated in both time and directions of approach to the target set restricted by a set of obstacles. A discrete system of priorities reflects relative preferences of importance and allows choosing routes optimal in different senses. One can formalize such tasks in terms of different mathematical models including control problems of formation motion, theory of extreme networks and interval analysis. The paper bases on guaranteed approach to control of dynamic objects under uncertainty. Unified mathematical descriptions of shores, routes of individual objects and the whole group may be given in terms of hierarchic (i)-systems. This allows to reconcile data on geography, environment, object characteristics, peculiarities of control systems and data transmission, including sources and causes of uncertainty, and to describe movement of a group as an extreme problem of control and estimation. The results of computer simulation are considered. One may use similar models to explore economic aspects in application of heterogenic complex of autonomous surface and underwater vessels.

• Periodical: Applied Mechanics and Materials (Volumes 494-495)
• Pages: 1110-1113
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.494-495.1110
• Online since: February 2014
• Authors: Sergey V. Kruglikov*, Alexey S. Kruglikov
• Keywords: Control Algorithms, Co-Operative Control, Duality, Estimation, Hierarchical Systems, Optimal Control, Uncertainty, Unmanned Surface Vessels

References

[1] Kurzhanski A.B., Mitchel I.M., Varaiya P. Optimization techniques for state-constrained control and obstacle problems. Journ. of Optimization Theory and Appl. Vol. 128 (3). (2006). pp.499-521.

DOI: 10.1007/s10957-006-9029-4

[2] Sharma Sk., Sutton R., Roberts G. A Local Control Network Autopilot for an Unmanned Surface Vehicle. In Proc. 9th IFAC Conference on Manoeuvring and Control of Marine Craft. Arenzano, Italy. (2012).

DOI: 10.3182/20120919-3-it-2046.00064

[3] Zenor J.J., Murray-Smith D.J., McGookin E.W., Crosbie R.E. Development of a multi-rate simulation model of an unmanned underwater vehicle for real-time applications. In I. Troch and F. Breitenecker, Editors, Proc. MATHMOD 09. (2009) p.1951-(1957).

DOI: 10.11128/sne.19.tn.09951

[4] Jaulin L., Kieffer M., Dildrit O., Walter E. Applied Interval Analysis with Examples in Parameter and State Estimation, Robust Control and Robotics. London: Springer. (2001).

[5] Berdyshev, V.I., Kostousov, V.B. Extremal problems and models of navigation on geophysical fields. Ural Branch of RAS. Yekaterinburg. (2007). (in Russian).

[6] Kruglikov S.V. Structural Properties of Guaranteed Control-Estimation Problems for Hierarchical Systems. IPACS electronic library. Proc. 5th International Conference on Physics and Control (PhysCon 2011). León, Spain. (2011).