Cite this article as:
Andreichenko D. K., Andreichenko K. P., Batraeva I. A. Hybrid Automation Extended Model. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2019, vol. 19, iss. 1, pp. 94-104. DOI: https://doi.org/10.18500/1816-9791-2019-19-1-94-104
Hybrid Automation Extended Model
An extended model of hybrid automata for dynamic systems is considered, where, along with a discrete control subsystem and control objects with lumped parameters, there are control objects with distributed parameters (linear and stationary from the point of view of automatic control theory). The possibility of software implementation of an extended model of hybrid automata on embedded computing systems is shown.
1. Kashevnik A. M., Ponomarev A. V., Savosin S. V. Hybrid Systems Control Based on Smart Space Technology. SPIIRAS Proceedings, 2014, iss. 4(35), pp. 212–226 (in Russian).
2. Meslem N., Ramdani M., Candau Y. Guaranteed Parameter Set Estimation for Monotone Dynamical Systems Using Hybrid Automata. In: Reliable Computing, Springer Verlag, 2010, pp. 88–104.
3. Karoui M. F., Alla H., Chatti A. Monitoring of dynamic processes by rectangular hybrid automata. Nonlinear Analysis: Hybrid Systems, 2010, vol. 4, iss. 4, pp. 766–774. DOI: https://doi.org/10.1016/j.nahs.2010.05.004
4. Thiagarajan P. S., Yang S. Modular discrete time representation of distributed hybrid automata. Theoretical Computer Science, 2012, vol. 429, pp. 292–304. DOI: https://doi.org/10.1016/j.tcs.2011.12.050
5. Kone´ cn´ y M., Taha W., Bartha F. A., Duracz J., Duracz A., Ames A. D. Enclosing the behavior of a hybrid automation up to and beyond a Zeno point. Nonlinear Analysis: Hybrid Systems, 2016, vol. 20, pp. 1–20. DOI: https://doi.org/10.1016/j.nahs.2015.10.004
6. Elmetennani S., Laleg-Kirati T.M., Djemai M., Tadjine M. New MPPT algorithm for PV applications based on hybrid dynamical approach. Journal of Process Control, 2016, vol. 48, pp. 14–24. DOI: https://doi.org/10.1016/j.jprocont.2016.10.001
7. Iovine A., Valentini F., De Santis E., Di Benedetto M. D., Pratesi M. Safe human-inspired mesoscopic hybrid automation for autonomous vehicles. Nonlinear Analysis: Hybrid Systems, 2017, vol. 25, pp. 192–210. DOI: https://doi.org/10.1016/j.nahs.2016.08.008
8. Shornikov Yu., Bessonov A., Dostovalov D. Specification and instrumental analysis of hybrid systems. Science Bulletin of the Novosibirsk State Technical University, 2015, no. 4(61), pp. 101–117 (in Russian). DOI: http://dx.doi.org/10.17212/1814-1196-2015-4-101-117
9. Andreichenko D. K., Andreichenko K. P. On the theory of hybrid dynamical systems. Journal of Computer and Systems Sciences International, 2000, vol. 39, no. 3, pp. 383–398.
10. Portenko M. S., Melnichuk D. V., Andreichenko D. K. Analyticity conditions of characteristic and disturbing quasipolynomials of hybrid dynamical systems. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2016, vol. 16, no. 2, pp. 208–217 (in Russian). DOI: https://doi.org/10.18500/1816-9791-2016-16-2-208-217