Analytical design of controllers for discrete-continuous systems with linear control
Journal: Программные системы: теория и приложения @programmnye-sistemy
Section: Методы оптимизации и теория управления
Article in issue: 2 (49) т.12, 2021.
Free access
The study focuses on a certain kind of discrete-continuous systems (DCS): the linear hybrid DCS with state-dependent coefficients. The authors proposed a problem similar to the analytical design of optimal controllers (ADOC). For this study, we generalized the Krotov sufficient optimality conditions. The paper includes several examples.
continuous systems
\ sufficient optimality conditions
\ ADOCs problem.
Short address: https://sciup.org/143173918
IDS: 143173918 | UDC: 517.977 | DOI: 10.25209/2079-3316-2021-12-2-121-135
References Analytical design of controllers for discrete-continuous systems with linear control
- S. V. Emel’yanov (ed.). Theory of Systems with Variable Structures, Nauka, M., 1970 (in Russian), 592 pp. "121
- V.I. Gurman. “Theory of optimum discrete processes”, Autom. Remote Control, 34:7 (1973), pp. 1082–1087
- S.N. Vassilyev. “Theory and application of logic-based controlled systems”, Proceedings of the International Conference Identification and Control Problems, Institute of control sciences, M., 2003, pp. 23–52 (in Russian)."121
- A.S. Bortakovskii. “Sufficient optimality conditions for control of deterministic logical-dynamic systems”, Informatika, Ser. Computer Aided Design, vol. 2–3, VNIIMI, M., 1992, pp. 72–79 (in Russian). "121
- B.M. Miller, E.Ya. Rubinovich. Optimization of the Dynamic Systems with Pulse Controls, Nauka, M., 2005, ISBN 978-5-9710-5725-3 (in Russian), 429 pp. "121
- J. Lygeros. Lecture Notes on Hybrid Systems, ENSIETA 2-6/2/2004, 2004, 82 pp. [URL]"121
- A.J. Van der Shaft, H. Schumacher, An Introduction to Hybrid Dynamical Systems, Lecture Notes in Control and Information Sciences, vol. 251, Springer-Verlag, London, 2000, ISBN 978-1-84628-542-4
- V.F. Krotov, V.I. Gurman. Methods and Problems of Optimal Control, Nauka, M., 1973 (in Russian), 448 pp.
- V.F. Krotov. “Sufficient conditions for the optimality of discrete control systems”, Dokl. Akad. Nauk SSSR, 172:1 (1967), pp. 18–21 (in Russian).
- V.I. Gurman, I.V. Rasina. “Discrete-continuous representations of impulsive processes in the controllable systems”, Automation and Remote Control, 73:8 (2012), pp. 1290–1300.
- I. V. Rasina. “Discrete-continuous models and optimization of control processes”, Program Systems: Theory and Applications, 5:9 (2011), pp. 49–72 (in Russian).
- I.V. Rasina. “Iterative optimization algorithms for discrete-continuous processes”, Automation and Remote Control, 73:10 (2012), pp. 1591–1603.
- I.V. Rasina. “Discrete-continuous systems with intermediate criteria”, International Conference on Computational Mechanics and Modern Applied Software Systems, CMMASS’2017, Moscow Aviation Institute, M., 2017, pp. 699–701 (in Russian).
- A. M. Letov. “Analytical design of controllers, II”, Avtomat. i Telemekh., 21:5 (1960), pp. 436–441 (in Russian).
- R. Gabasov, A. I. Kalinin, F. M. Kirillova, L. I. Lavrinovich. “On asymptotic optimization methods for quasilinear control systems”, Trudy Inst. Mat. I Mekh. UrO RAN, 25:3 (2019), pp. 62–72 (in Russian).
- Y. E. Danik, M. G. Dmitriev, D. A. Makarov. “An algorithm for constructing regulators for nonlinear systems with the formal small parameter”, Journal of Information Technologies and Computing Systems, 2015, no. 10, pp. 35–44 (in Russian).
- Yu.E. Danik, M.G. Dmitriev. “A comparison of numerical algorithms for discrete-time state dependent coefficients control systems”, 21st International Conference on System Theory, Control and Computing (ICSTCC) (19–21 Oct. 2017, Sinaia, Romania), pp. 401–406.