MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS
Control-relevant identification of the DC engine coupled with a reaction wheel
- 1 Technical University of Moldova, The Centre of Excellence for Space Sciences and Technologies, Chisinau, Republic of Moldova
Abstract
This paper proposes to estimate the mathematical model of the DC motor coupled with a reaction wheel in two ways: open-loop identification and closed-loop identification. For open-loop identification, the experimental curve is approximated with the model of object with inertia first order, and inertia second order. In the case of closed-loop identification, it was obtained the model with inertia third order, that approximates the dynamic of the process, where the coefficients are calculated based on the simple analytical expressions according to the values that are extracted from the undamped step response of the closed-loop system with P controller. The results of the experimental model estimation were compared with the results obtained using the System Identification Toolbox from MATLAB. In addition, to the identified object model, it was proposed to tune a PID controller based on the maximum stability degree criterion.
Keywords
References
- I. Dumitrache, Control engineering (in romanian). Bucharest: Politehnica P, V. 1, (2016)
- J. Ertveldt, J. Sanchez-Medina, Z. Jardon, M. Hinderdael, P. Guillaume, Experimental identification of process dynamics for real-time control of Directed Energy Deposition, Procedia CIRP, Vol. 111, pp. 321-325, (2022)
- W. Jianhong, R. A. Ramirez-Mendoza, The practical analysis for closed-loop system identification, Cogent Engineering, 7:1, pp. 1-16, (2020)
- A. O’Dwyer, Handbook of PI and PID controller tuning rules. 3rd Edition, Imperial College Press, (2009)
- J. D. Álvarez, J. D. Guzmán, D. E. Rivera, D. E. Berenguel, S. Dormido, Perspectives on control-relevant identification through the use of interactive tools, Control Engineering Practice, 21(2), pp. 171–183, (2013)
- I. Cojuhari, Data-Driven Model Identification and Control of the Inertial Systems, In: Intelligent Control and Automation, 14, pp. 1-18, (2023)
- I. Cojuhari Algorithm for Self-Tuning the PID Controller. În Journal of Engineering Scienc. Vol. XXVIII (4), pp. 63-73, (2021)
- B. Izvoreanu, M. Potlog, I. Cojuhari, I. Fiodorov, D. Moraru Metodă de Identificare a Modelelor Obiectului de Reglare de Ordinul Unu şi Doi după Răspunsul Experimental al Procesului [The method of identification the model of object with first and second order inertia by the experimental response of the process]. In: Proceedings of the IX International Conference on Microelectronics and Computer Science (ICMCS-2017), October 19-21, Chişinău, pp. 206-209, (2017)
- V. Melnic, I. Cojuhari Estimation of the Mathematical Model of the DC engine coupled with a reaction wheel. În ROMAI Journal, 14, no.2 pp, 103–112, (2018)