The method of automatic control system synthesis on the base of discrete time equalizer

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Authors:

O.Sheremet, Cand. Sc. (Tech.), Assoc. Prof., Dniprovsk State Technical University, Kamianske, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

O.Sadovoy, Dr. Sc. (Tech.), Prof., Dniprovsk State Technical University, Kamianske, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Abstract:

Purpose. Development of a synthesis method for automatic control systems with the desired dynamic properties that are specified by quantized transition functions of finite duration.

Methodology. The theory of transition functions of finite duration is used to set the desired dynamic properties of automatic control systems in discrete time intervals. The modified structural block-diagram symmetry principle provides the formation of accessible desired dynamic characteristics of a closed-loop system with a limited gain factor.

Findings. The method for automatic control system synthesis on the base of discrete time equalizer was developed on condition of full compensation of dynamic properties of the control object and with their partial compensation due to use of modification blocks of reverse structural block-diagram transformation.

Originality. The first proposed mathematical apparatus allows the use of discrete time equalizer as a discrete regulator in automatic control systems. The research on automatic control system synthesis on the base of discrete time equalizer revealed that modified principle of structural block-diagram symmetry should be used for providing the real dynamics of automatic control systems.

Practical value. The results of the research can be used for building the control algorithms for technical objects with their further program implementation in the microcontroller or microprocessor control system.

References.

1. Sheremet, О. and Sadovoi, 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), pp. 51–58.

2. Boashash, B., 2015. Time-Frequency Signal Analysis and Processing, 2nd ed. Amsterdam: Academic Press.

3. Lasserre, J.B., 2013. Inverse Polynomial Optimization. Mathematics of Operations Research, 38(3), pp. 418–436.

4. Cerone, V., Piga, D. and Regruto, D., 2015. Characteristic polynomial assignment for plants with semialgebraic uncertainty: A robust diophantine equation approach. International Journal of Robust and Nonlinear Control, 25, pp. 2911–2921.

5. Ghavifekr, A.A., Badamchizadeh, M.A., Alizadeh, G. and Arjmandi, A., 2013. Designing inverse dynamic controller with integral action for motion planning of surgical robot in the presence of bounded disturbances. 21 st Iranian Conference on Electrical Engineering (ICEE), pp. 1–6. DOI: 10.1109 / IranianCEE.2013.6599773.

6. Sadovoi, O.V., Sheremet, O.I. and Sokhina, Yu.V., 2014. The concept of discrete time equalizer. Zbirnyk naukovykh prats Donbaskoho derzhavnoho tekhnichnoho universytetu, 1(42), pp. 147–151.

7. Righetti, L., Buchli, J., Mistry, M., Kalakrishnan, M., Schaal, S., 2013. Optimal distribution of contact forces with inverse-dynamics control. The International Journal of Robotics Research, 32(3), pp. 280–298.

8. Yuan, Ch., Guifu, M., Guangying, M., Shuxia, L. and Jun, G., 2014. Robust Adaptive Inverse Dynamics Control for Uncertain Robot Manipulator. International Journal of Innovative Computing, Information and Control, 10(2), pp. 575–587.

9. Galias, Z. and Yu, X., 2014. On zero-order holder discretization of delayed sliding mode control systems. Proc. IEEE Int. Symp. Circuits and Systems, Melbourne, Australia, pp. 1255–1258.

10. Sen, M. Kuo, Bob, H. Lee and Wenshun Tian, 2013. Real-Time Digital Signal Processing: Fundamentals, Implementations and Applications, 3rd ed. Portland: Wiley.

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ISSN (print) 2071-2227,
ISSN (online) 2223-2362.
Journal was registered by Ministry of Justice of Ukraine.
Registration number КВ No.17742-6592PR dated April 27, 2011.

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