Abstract
This paper provides the solution technique of propellant consumption optimal adaptive terminal control problem for launch vehicles. The initial nonlinear continuous-time model of plant is approximated by linear discrete-time dynamical system using linearization along reference trajectory and subsequent discretization. It is assumed that state vector and control vector are constrained by convex, closed and bounded polyhedral sets with finite number of vertices in corresponding finite-dimensional vector spaces. The problems of optimal open-loop and adaptive (closed-loop) control problems are formulated for approximated system. The solution of the main problem is reduced to sequential solving of auxiliary problems. An optimal adaptive terminal control algorithm is developed based on computation and analysis of forward and backward reachable sets of approximating system. The computation of polyhedral reachable sets is implemented by general recurrent algebraic method. The performance of proposed algorithms is shown at the numerical example of optimal adaptive terminal control for launch vehicle’s third stage.
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
Petrov, B.N., Portnov-Sokolov, Yu.P., Andrienko, A.Y., et al.: On-board Terminal Control Systems. Mashinostroenie, Moscow (1983)
Shorikov, A.F., Goranov, A.Yu.: About one adaptive correction of optimal open-loop control for spacecraft rendezvous. In: International Conference on Industrial Engineering, Applications and Manufacturing, pp. 1–6 (2018)
Shorikov, A.F.: Minimax Estimation and Control in Discrete-Time Dynamical Systems. University Publ., Ural (1997)
Goranov, A.Yu., Shorikov, A.F.: Modified general recursion algebraic method of the linear control systems reachable sets computation. In: CEUR Workshop Proceedings, vol. 1825, pp. 95–102 (2017)
Kalev, V.I., Shorikov, A.F.: Fuel consumption terminal control problem statement for liquid-propellant rockets. Russ. Phys. J. 59(8–2), 45–48 (2016)
Bulaev, V.V., Goranov, A.Yu., Kalev, V.I.: The optimal open-loop control construction of complex mechanical plants motion. Bull. South Ural State Univ. Ser. Comput. Technol. Autom. Control Radio Electron. 17, 20–28 (2017)
Shorikov, A.F., Bulaev, V.V.: A modification of the generalized recursion method of linear control systems reachable sets computation. In: CEUR Workshop Proceedings, vol. 1825, pp. 88–94 (2017)
Fukuda, K., Prodon, A.: Double Description Method Revisited. Lecture Notes in Computer Science, vol. 1120, pp. 91–111 (1996)
Kurzhanskiy, A.A., Varaiya, P.: Reach set computation and control synthesis for discrete-time dynamical systems with disturbances. Automatika 47, 1414–1426 (2011)
Acknowledgements
The authors wish to thank Vladimir Bulaev and Alexander Goranov for their support in developing the computer system for adaptive control problem solving, as well as their valuable advices.
This work was supported by the Russian Basic Research Foundation, projects no. 17-01-00315 and no. 18-01-00544.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Shorikov, A.F., Kalev, V.I. (2020). Propellant Consumption Optimal Adaptive Terminal Control of Launch Vehicle. In: Radionov, A., Karandaev, A. (eds) Advances in Automation. RusAutoCon 2019. Lecture Notes in Electrical Engineering, vol 641. Springer, Cham. https://doi.org/10.1007/978-3-030-39225-3_13
Download citation
DOI: https://doi.org/10.1007/978-3-030-39225-3_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-39224-6
Online ISBN: 978-3-030-39225-3
eBook Packages: EngineeringEngineering (R0)