Abstract
In article the game hierarchical approach based optimization methodology of smart electromechanical systems group control with the principle of the coordinated stable-effective compromises application is developed. The problem of optimization of group control is decomposed into classes of problems of local, distributed and hierarchical control, taking into account structural and functional inconsistency, conflict, multicriteria, and uncertainty. Such structuring allows to consider different conditions of conflict group interaction of subsystems. The principle of coordinated stable-effective compromises, generalizing the Stackelberg hierarchical equilibrium principle, is formulated. The guaranteeing properties of stable-effective control laws are investigated.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Kalyaev, I.A., Gaiduk, A.R., Kapustyan, S.G: Models and Algorithms of Collective Control in Groups of Robots, 280 p. Fizmatlit (2009)
Jadbabaie, A., Lin, J., Morse, A.S.: Coordination of groups of mobile autonomous agents using nearest neighbor rules. In: IEEE Transaction on Automatic Control, May 2003
Dahl, T.S., Mataric, M.J., Sukhatme, G.S.: Emergent robot differentiation in distributed multi-robot task allocation. In: Proceedings of the 7th International Symposium on Distributed Autonomous Robotic Systems (DARS-04), Toulouse, France (2004)
Bruce, J., Bowling, M., Browning, B., Veloso, M.: Multi-robot team response to a multi-robot opponent team. In: Proceedings of ICRA ’03, the 2003 IEEE International Conferenceon Robotics and Automation, Taiwan, May 2003
Voronov, E.M.: In: Egupov, D. (ed.) Methods of Optimization of Control of Multi-object Multi-criteria Systems on the Basis of Stable-Effective Game Solutions, 576 p. BMSU, Moscow (2001)
Vorobyiov, N.N.: Fundamentals of the Theory of Games. Noncooperative Games, 496 p. Science, Moscow (1984)
Vilkas, E.T.: Optimality in Games and Solutions, 256 p. Science, Moscow (1990)
Zhukovsky, V.I., Chikry, A.A.: Linear-Quadratic Differential Games, 320 p. Naukova Dumka, Kyiv (1994)
Zhukovsky, V.I., Zhukovskaya, L.V.: In: Molostvov, V.S. (ed.) Risk in Multi-criteria and Conflict Systems Under Uncertainty, 272 p. Editorial URSS, Moscow (2004)
Harsanyi, G., Reinhard, Z.: General Theory of Equilibrium Choice in Games, 424 p. SPb (2001)
Smolyakov, E.R.: Theory of Conflict Equilibria, 304 p. Editorial URSS, Moscow (2005)
Gorelov, M.A., Kononenko, A.F.: Dynamic models of conflict. II. Equilibrium. Autom. Telemechanics (12), 56–77 (2014)
Gorelov, M.A., Kononenko, A.F.: Dynamic models of conflict. III. Hierarchical games. Autom. Telemechanics (2), 89–106 (2015)
Gorelik, V.A., Rodyukov, A.V., Tarakanov, A.F.: Hierarchical game under uncertainty using risk players and guaranteed assessment strategies. Izv. RAS Theory Control Syst. (6), 94–101 (2009)
Govorov, A.N., Tarakanov, A.F.: Coalition-hierarchical game under uncertainty. Izv. RAS Theory Control Syst. (3), 75–80 (2008)
Moya, S.: The calculation of the Stackelberg–Nash equilibrium as a fixed point problem in static hierarchical games. Int. J. Dyn. Control 1–12 (2017)
Léon, E., Pape, A., Costes, M., Désidéri, J., Alfano, D.: Concurrent aerodynamic optimization of rotor blades using a Nash game method. J. Am. Helicopter Soc. 61(2), 1–13 (2016)
Leskinen, J., Périaux, J.: Distributed evolutionary optimization using Nash games and GPUs-applications to CFD design problems. Comput Fluids 80, 190–201 (2013)
Periaux, J., Greiner, D.: Efficient parallel Nash genetic algorithm for solving inverse problems in structural engineering. In: Mathematical Modeling and Optimization of Complex Structures. Computational Methods in Applied Sciences, vol. 40, pp. 205–228. Springer, New York (2016)
Ungureanu, V.: Pareto-Nash-Stackelberg Game and Control Theory: Intelligent Paradigms and Applications (Smart Innovation, Systems and Technologies), 579 p. Springer (2017). ISBN 10 3319751506, ISBN 13 978-3319751504
Serov, V.A.: Stable-equilibria control in a hierarchical game model of a structurally complex system under uncertainty. In: Popkov, Y.S. (ed.) Proceedings of the Institute for System Analysis RAS. Dynamics of Heterogeneous Systems, vol. 10(1), pp. 64–76. Komkniga, Moscow (2006)
Vanin, A.V., Voronov, E.M., Serov, V.A., Karpunin, A.A., Liubavskii, K.K.: Optimization of hierarchical systems “guidance-stabilization” of the aircraft with the adaptation of the stabilization system. Vestnik BMSTU Ser. Instrum. Making (4), 13–33 (2015)
Voronov, E.M., Karpunin, A.A., Serov, V.A.: The hierarchical equilibrium in multilevel control systems. Vestnik RUDN. Ser. Eng. Res. (4), 18–29 (2008)
Voronov, E.M., Karpunin, A.A., Serov, V.A.: Hierarchical equilibrium in two-level aircraft guidance-stabilization systems. In: Aerospace Guidance, Navigation and Flight Control Systems (AGNFCS’09): Proceedings of the IFAC Workshop, June 30–July 2, 2009, Samara, Russia. The International Physics and Control Society (IPACS) Electronic Library. http://lib.physcon.ru/?item=21. 6 p
Serov, V.A., Voronov, E.M.: Evolutionary algorithms for finding of a stable-effective compromises in multi-object control problems (in this collection)
Mesarovich, M., Mako, D., Takahara, I.: Theory of Hierarchical Multilevel Systems, 344 p. World, Moscow (1973)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Voronov, E.M., Serov, V.A. (2019). A Coordinated Stable-Effective Compromises Based Methodology of Design and Control in Multi-object Systems. In: Gorodetskiy, A., Tarasova, I. (eds) Smart Electromechanical Systems. Studies in Systems, Decision and Control, vol 174. Springer, Cham. https://doi.org/10.1007/978-3-319-99759-9_12
Download citation
DOI: https://doi.org/10.1007/978-3-319-99759-9_12
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-99758-2
Online ISBN: 978-3-319-99759-9
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)