Synthesis of coordinated group guidance
- 1 Dr. Sc. (Eng.), Professor, Honored Scientist of RF, Deputy General Designer of JSC «Corporation «Vega» (Moscow)
Abstract
Coordination of multiple objects assigned to the same mission plays an increasingly important part for operation of complex dynamic systems. Therefore, synthesis of algorithms of group control is currently central.
Resolving this problem with classical approach for system optimization (Pontryagin, Bellman, Krasovsky etc.) is highly problematic due to exponential increase of order of equation system for two-point boundary problem.
A rational approach of decreasing system order is to switch from simultaneous control of the entire group to consecutive control of each object while taking into account states of other objects. Even so, the classical approach still resolves in a computationally complex two-point boundary problem.
The article proposes a computationally effective variant of synthesis of group guidance based on local optimization, which eliminates the need to solve a two-point boundary problem. Analysis of obtained algorithm of group guidance is conducted.
How to cite
Меркулов В.И. Синтез согласованного управления группой объектов // Динамика сложных систем - XXI век. 2016. № 2. С. 23–27.
References
- Belov S.G., Verba V.S., Merkulov V.I.i dr. Aviacionnye sistemy radioupravlenija / Pod red. V.S. Verby i V.I. Merkulova. M.: Radiotekhnika. 2014. 376 s.
- Rojjtenberg JA.N. Avtomaticheskoe upravlenie. M.: Nauka. 1992.
- JArlykov M.S., Bogachev A.S., Merkulov V.I., Drogalin V.V. Radioehlektronnye kompleksy navigacii, pricelivanija i upravlenija vooruzheniem letatelnykh apparatov. T. 1. Teoreticheskie osnovy / Pod red. M.S. JArlykova. M.: Radiotekhnika. 2012. 504 s.
- Sejjdzh EH., Uajjt III CH.S. Optimalnoe upravlenie sistemami / Per. angl. M.: Radio i svjaz. 1982.
- Maksimov M.V., Merkulov V.I. Radioehlektronnye sledjashhie sistemy. Sintez metodami teorii optimalnogo upravlenija. M.: Radio i svjaz. 1990.
- CHernousko F.A., Kolmanovskijj B.B. Optimalnoe upravlenie pri sluchajjnykh vozmushhenijakh. M.: Fizmatlit. 1978. 352 s.
- Merkulov V.I., Drogalin V.V., Bogachev A.S.i dr. Aviacionnye sistemy radioupravlenija. T. 1. Principy postroenija sistem radioupravlenija. Osnovy sinteza i analiza / Pod red. A.I. Kanashhenkova i V.I. Merkulova. M.: Radiotekhnika. 2003. 192 s.