<div>
	Synthesis and implementation of λ-approach of slide control in heat-consumption system</div>

Aleksandr A. Shilin, Victor G. Bukreev, Filipp V. Perevoshchikov

2022 , VOLUME 22, NUMBER 3 ( March-April )

ISSN 2226-1494 (print), ISSN 2500-0373 (online)

Publications

Editor-in-Chief

Nikiforov
Vladimir O.
D.Sc., Prof.

Partners

doi: 10.17586/2226-1494-2022-22-3-501-508

Synthesis and implementation of λ-approach of slide control in heat-consumption system

A. A. Shilin, V. G. Bukreev, F. V. Perevoshchikov

Read the full article

Article in English

For citation:

Shilin A.A., Bukreev V.G., Perevoshchikov F.V. Synthesis and implementation of λ-approach of slide control in heat-consumption system. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2022, vol. 22, no. 3, pp. 501–508. doi: 10.17586/2226-1494-2022-22-3-501-508

Abstract

The paper proposes an essentially new approach to synthesis and implementation of dynamic objects with three-position relay control. The approach consists in organization of differentiation procedure on the relay element involved into feedback. We considered synthesis of the relay element feedback in tasks of robust and time optimal control of heat-consumption systems. To demonstrate the effectiveness of the proposed approach, a comparative assessment of the results of modeling heat consumption systems with three-position relay control and a traditional linear–quadratic regulator is presented. We attached transient processes plots of active heat-consumption systems which confirm the effectiveness of the synthesized relay control.

Keywords: heat-consumption systems, lambda-regulator, sliding mode, time optimal control, three-position relay control

References

Poznyak A.S. Sliding mode control in stochastic continuos-time systems: μ-zone MS-convergence. IEEE Transactions on Automatic Control, 2017, vol. 62, no. 2, pp. 863–868. https://doi.org/10.1109/TAC.2016.2557759
Alibeji N., Sharma N.A PID-type robust input delay compensation methodfor uncertain Euler-Lagrange systems. IEEE Transactions on Control Systems Technology, 2017, vol. 25, no. 6, pp. 2235–2242. https://doi.org/10.1109/TCST.2016.2634503
Guo X., Ren H.P.Robust variable structure control for three-phase PWM converter.Zidonghua Xuebao/Acta Automatica Sinica, 2015, vol. 41, no. 3, pp. 601–610. (in Chinese). https://doi.org/10.16383/j.aas.2015.c140421
Zhu Q.D., Wang T.An improved design scheme of variable structure control for discrete-time systems.Zidonghua Xuebao/Acta Automatica Sinica, 2010, vol. 6,no. 6, pp. 885–889. (in Chinese). https://doi.org/10.3724/SP.J.1004.2010.00885
Parra-Vega V., Fierro-Rojas J.D.Sliding PIDuncalibrated visual servoingfor finite-time tracking of planar robots.Proc. of the 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422),2003,vol. 3, pp. 3042–3047. https://doi.org/10.1109/ROBOT.2003.1242058
Choi H.H.LMI-based sliding surface design for integral sliding mode control of mismatched uncertain systems.IEEE Transactions on AutomaticControl, 2007, vol. 52,no. 4, pp. 736–742. https://doi.org/10.1109/TAC.2007.894543
Huang Y. J., Kuo T.C., Chang S.H.Adaptive sliding-mode control fornonlinear systems with uncertain parameters.IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 2008,vol. 38,no. 2, pp. 534–539.https://doi.org/10.1109/TSMCB.2007.910740
Abdulgalil F., Siguerdidjane H. PID based on sliding mode control forrotary drilling system. Proc. of the EUROCON 2005 - The International Conferenceon "Computer as a Tool", 2005, vol. 1, pp. 262–265. https://doi.org/10.1109/EURCON.2005.1629911
Utkin V. I.Sliding Modes in Control and Optimization. Berlin, Germany,Springer,1992, 299 p.
Li X.B., Ma L., Ding S.H. A new second-order sliding mode control andits application to inverted pendulum.Zidonghua Xuebao/Acta AutomaticaSinica, 2015, vol. 41, no. 1, pp. 193–202. (in Chinese). https://doi.org/10.16383/j.aas.2015.c140263
Li Y., XuQ.Adaptive sliding mode control with perturbation estimationand PIDsliding surface for motion tracking of a piezo-driven micromanipulator.IEEE Transactions on Control Systems Technology, 2010,vol. 18, no. 4, pp. 798–810. https://doi.org/10.1109/TCST.2009.2028878
Mu C.X., Yu X.H., Sun C.Y.Phase trajectory and transient analysisfor nonsingular terminal sliding modecontrol systems.Zidonghua Xuebao/Acta Automatica Sinica, 2013, vol. 39, no. 6,pp. 902–908. (in Chinese). https://doi.org/10.3724/SP.J.1004.2013.00902
Bartolini G., Pydynowski P. An improved, chattering free, V.S.C. scheme foruncertain dynamical systems. IEEE Transactions on Automatic Control, 1996,vol. 41, no. 8, pp. 1220–1226. https://doi.org/10.1109/9.533691
Bartolini G., Ferrara A., Usai E.Chattering avoidance by second-ordersliding mode control. IEEE Transactions on Automatic Control, 1998, vol. 43, no. 2, pp. 241–246. https://doi.org/10.1109/9.661074
Bartolini G., Ferrara A., Usai E., Utkin V.I. On multi-input chattering-free second-order sliding mode control. IEEE Transactions on Automatic Control, 2000, vol. 45, no. 9, pp. 1711–1717. https://doi.org/10.1109/9.880629
Zhang Y., Ma G.F., Guo Y.N., Zeng T.Y.A multi power reaching law ofsliding mode control design and analysis. Zidonghua Xuebao/Acta Automatica Sinica, 2016,vol. 42, no. 3,pp. 466–472. (in Chinese). https://doi.org/10.16383/j.aas.2016.c150377
Kim N., Cha S., Peng H. Optimal control of hybrid electric vehicles basedon Pontryagin's minimum principle. IEEE Transactions on Control SystemsTechnology, 2011, vol. 19, no. 5, pp. 1279–1287. https://doi.org/10.1109/TCST.2010.2061232
Klyuev A.S., Kolesnikov A.A.Optimization of Automatic Control Systems by Speed. Moscow,Energoizdat, 1982, 239 p. (in Russian)
Kirk D.D. Optimal Control Theory. An Introduction. Englewood Cliffs, NJ, Prentice-Hall, 1970, 472 p.
Li Y., Wang Z., Zhu L. Adaptive neural network PID sliding mode dynamiccontrol of nonholonomic mobile robot. Proc. of the IEEE InternationalConference on Information and Automation, 2010, pp. 753–757. https://doi.org/10.1109/ICINFA.2010.5512467
Khalil H.K. Nonlinear Systems. 3^nd ed., Upper Saddle River, NJ, Prentice Hall, 2002, 750 p.
Liu T., Liu H.P. Quasi-sliding-mode control based on discrete reachinglaw with dead zone. Zidonghua Xuebao/Acta Automatica Sinica, 2011, vol. 37, no. 6, pp. 760–766. (in Chinese). https://doi.org/10.3724/SP.J.1004.2011.00760
Shilin A.A., Bukreev V.G.The reduction of the multidimensional model of thenonlinear heat exchange system with delay.Communications in Computerand Information Science, 2014, vol. 487, pp. 387–396. https://doi.org/10.1007/978-3-319-13671-4_44
Shilin A.A., Bukreev V.G., Prohorov S. Pressure pump power control in theprimary circuit of the heat exchange system.MATEC Web of Conferences, 2016, vol. 91, pp. 01043. https://doi.org/10.1051/matecconf/20179101043.
Savrasov F.V., Prokhorov S.V., Shilin A.A. The computer simulation of hoar-frost's clearing process in the air recuperation system. Journal of Physics:Conference Series, 2017, vol. 803, no. 1, pp. 012134. https://doi.org/10.1088/1742-6596/803/1/012134

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License