Synthesis of automatic speed control system of laboratory research bench drive motor on the basis of discrete time equalizer
DOI:
https://doi.org/10.15587/1729-4061.2020.195719Keywords:
discrete time equalizer, microcontroller, automated control system, direct current motorAbstract
The study is based on the use of the discrete time equalizer method for the synthesis and practical implementation of an automatic speed control system of a direct current electric drive. A laboratory research bench was created to carry out experimental research.
The synthesis of automatic control systems by the discrete time equalizer method differs from the traditional subordinate coordinate control or the generalized characteristic polynomial method in complete rejection of the use of the desired characteristic polynomials. This approach allows obtaining the desired dynamic and static properties of the system solely on the basis of the desired transition function, which should be close to the natural character of the transition processes (monotonic, aperiodic or oscillatory).
The Code Composer Studio integrated design environment allows practical implementation of the proposed discrete time equalizers, the inverse model of the control object, and the inverse transformation modification unit in the form of special routines for the Texas Instruments TMS320F28335 microcontroller – macros in the C/C++ programming language.
The main body of the control program, constructed in accordance with the developed functional diagram of macros interaction, made it possible to carry out the experimental studies using both the main control channel with one discrete time equalizer and the combined control with two discrete time equalizers (main and compensating). Since the entire program code used in the research was written in the high-level programming language C/C++ using object-oriented approaches, it is hardware independent of the microprocessor type and can be transferred easily to another hardware baseReferences
- Marushchak, Ya. Yu. (2005). Syntez elektromekhanichnykh system z poslidovnym ta paralelnym koryhuvanniam. Lviv: Lvivska politekhnika, 208.
- Cerone, V., Piga, D., Regruto, D. (2014). Characteristic polynomial assignment for plants with semialgebraic uncertainty: A robust diophantine equation approach. International Journal of Robust and Nonlinear Control, 25 (16), 2911–2921. doi: https://doi.org/10.1002/rnc.3238
- Marushchak, Y., Kopchak, B. (2015). Synthesis of Automatic Control Systems by Using Binomial and Butterworth Standard Fractional Order Forms. Computational Problems of Electrical Engineering, 5 (2), 89–94.
- Sheremet, O., Sadovoy, O. (2016). Development of a mathematical apparatus for determining operator images of the desired quantized transition functions of finite duration. Eastern-European Journal of Enterprise Technologies, 2 (2 (80)), 51–58. doi: https://doi.org/10.15587/1729-4061.2016.65477
- Liberzon, D., Trenn, S. (2013). The Bang-Bang Funnel Controller for Uncertain Nonlinear Systems With Arbitrary Relative Degree. IEEE Transactions on Automatic Control, 58 (12), 3126–3141. doi: https://doi.org/10.1109/tac.2013.2277631
- Zhang, G., He, P., Li, H., Tang, Y., Li, Z., Xiong, X.-Z. et. al. (2020). Sliding Mode Control: An Incremental Perspective. IEEE Access, 8, 20108–20117. doi: https://doi.org/10.1109/access.2020.2966772
- Zabala, P. (2017). Development of Programmable Relay Switch Using Microcontroller. American Journal of Remote Sensing, 5 (5), 43. doi: https://doi.org/10.11648/j.ajrs.20170505.11
- Rao, K. D., Swamy, M. N. S. (2018). Digital Signal Processing. Theory and Practice. Springer. doi: https://doi.org/10.1007/978-981-10-8081-4
- Zahradnik, P., Simak, B. (2012). Education in real-time digital signal processing using digital signal processors. 2012 35th International Conference on Telecommunications and Signal Processing (TSP). doi: https://doi.org/10.1109/tsp.2012.6256372
- Kong, J. H., Ang, L.-M., Seng, K. P. (2010). Minimal Instruction Set AES Processor using Harvard Architecture. 2010 3rd International Conference on Computer Science and Information Technology. doi: https://doi.org/10.1109/iccsit.2010.5564522
- Isermann, R. (2012). Digital Control Systems: Volume 1: Fundamentals, Deterministic Control (Revised Edition). Berlin: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG.
- Fukui, K., Kubo, T., Oya, H. (2013). Inverse linear quadratic regulator of neutral systems with time-varying delay. 2013 IEEE International Conference on Mechatronics and Automation. doi: https://doi.org/10.1109/icma.2013.6618131
- Krut'ko, P. D. (1988). Obratnye zadachi dinamiki upravlyaemyh sistem. Nelineynye modeli. Moscow: Nauka, 326.
- Sadovoy, A. V., Suhinin, B. V., Sohina, Yu. V.; Sadovoy, A. V. (Ed.) (1996). Sistemy optimal'nogo upravleniya pretsizionnymi elektroprivodami. Kyiv: ISIMO, 298.
- Storjohann, A. (2001). Deterministic computation of the Frobenius form. Proceedings 42nd IEEE Symposium on Foundations of Computer Science. doi: https://doi.org/10.1109/sfcs.2001.959911
- Besekerskiy, V. A., Popov, E. P. (2003). Teoriya sistem avtomaticheskogo upravleniya. Sankt-Peterburg: Professiya, 752.
- C2000™ Digital Controller Library User's Guide. Texas Instruments, 2015. Available at: https://e2echina.ti.com/cfs-file/__key/telligent-evolution-components-attachments/00-56-00-00-00-14-79-60/PID_5F00_C2000_5F00_-Digital-Controller-Library-Users-Guide_2800_sprui31_2900_.pdf
- Tharayil, M., Alleyne, A. (2002). A generalized PID error governing scheme for SMART/SBLI control. Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301). doi: https://doi.org/10.1109/acc.2002.1024828
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