RESEARCH INTO THE PROCESS OF MODELING RANDOM DELAYS IN NETWORKED CONTROL SYSTEMS
DOI:
https://doi.org/10.32782/2786-9024/v3i4(36).331271Keywords:
random delays, modeling, networked control systems, Markov chain, stochastic model, hidden Markov model.Abstract
This paper proposes to consider the main types of delay models that arise and, importantly, negatively affect the efficiency and productivity of networked control systems, and in some cases lead to failures and even failures in operation. As for all other types of control systems, for networked control systems, stability of operation, accuracy and speed of execution of processes and algorithms, high security indicators, availability and flexibility and a number of other requirements are also very important. And all this is achieved through constant study and improvement of technologies, search for new and non-standard solutions and also constant research in the industry. As we already know, networked control systems (NCS) based on even the name assume the presence of networks in their control circuits, which in turn leads to the emergence of a number of problems that are characteristic of network technologies. Such problems as, for example, random delays or packet loss, or transmission of several packets at a time. It should be noted that usually the most attention when studying this issue is paid to the problems caused by random delays, because if they are present, they can also lead to the emergence of other problems that were mentioned above. Therefore, to reduce the negative impact of these random delays, which lead to a decrease in the efficiency of networked control systems and instability in their operation, there is a need to establish a mathematical model of random delays before creating a compensating element. And modeling of networked control systems with the right approach and the choice of successful solutions and modeling methods makes it possible to solve the issue of the presence of imperfections and problems associated with this technology.
References
Yang T.C. Networked control system: a brief survey. IEE Proceedings: Control Theory and Applications. (2006) 153, no. 4, 403–412, 2-s2.0-33646891790. DOI: 10.1049/ip-cta:20050178.
Zhang L.X., Gao H.J., and Kaynak O. Network-induced constraints in networked control systems – a survey. IEEE Transactions on Industrial Informatics. (2013) 9, no. 1, 403–416. [Онлайн]. URL: https://surl.li/xlambv. Дата звернення: 10.02.2025.
Luck R. and Ray A. Delay compensation in integrated communication and control systems-I: conceptual development and analysis. Proceedings of American Control Conference (ACC’90), May 1990, San Diego, Calif, USA, 2045–2050, 2-s2.0-0025556268.
Luck R. and Ray A. Delay compensation in integrated communication and control systems-II: implementation and verification. Proceedings of American Control Conference (ACC’90), May 1990, San Diego, Calif, USA, 2051–2055, 2-s2.0-0025564524.
Luck R. and Ray A. An observer-based compensator for distributed delays. Automatica. (1990) 26, no. 5, 903–908, 2-s2.0-0025494613. DOI: 10.1016/0005-1098(90)90007-5.
Luck R. and Ray A. Experimental verification of a delay compensation algorithm for integrated communication and control systems. International Journal of Control. (1994) 59, no. 6, 1357–1372.
Yorke J.A. Asymptotic stability for one dimensional differential-delay equations. Journal of Differential Equations. (1970) 7, no. 1, 189–202, 2-s2.0-0000602617.
Hirai K. and Satoh Y. Stability of a system with variable time delay. IEEE Transactions on Automatic Control. (1980) AC-25, no. 3, 552–554, 2-s2.0-0019031734.
Nilsson J., Bernhardsson B., and Wittenmark B. Stochastic analysis and control of real-time systems with random time delays. Automatica. (1998) 34, no. 1, 57–64, 2-s2.0-0031675114.
Wei Z., Li C.-H., and Xie J.-Y. Improved control scheme with online delay evalution for networked control systems. Proceedings of the 4th World Congress on Intelligent Control and Automation (WCICA’02), June 2002, Shanghai, China, 1319–1323, 2-s2.0-0036945895. [Онлайн]. URL: https://surl.li/vmzlsn. Дата звернення: 10.02.2025.
Yang F., Wang Z., Hung Y.S., and Gani M. H∞ control for networked systems with random communication delays. IEEE Transactions on Automatic Control. (2006) 51, no. 3, 511–518, 2-s2.0-33645015936. DOI: 10.1109/TAC.2005.864207.
Lian F.-L., Moyne J., and Tilbury D. Modelling and optimal controller design of networked control systems with multiple delays. International Journal of Control. (2003) 76, no. 6, 591–606, 2-s2.0-0142168437. DOI: 10.1080/0020717031000098426.
Kim D.K., Park P., and Ko J.W. Output-feedback ℋ∞ control of systems over communication networks using a deterministic switching system approach. Automatica. (2004) 40, no. 7, 1205–1212, 2-s2.0-2442478196. DOI: 10.1016/j.automatica.2004.01.024.
Jiang X., Han Q.-L., Liu S., and Xue A. A new H∞ stabilization criterion for networked control systems. IEEE Transactions on Automatic Control. (2008) 53, no. 4, 1025–1032, 2-s2.0-44849095399. DOI: 10.1109/TAC.2008.919547.
Dritsas L. and Tzes A. Robust stability bounds for networked controlled systems with unknown, bounded and varying delays. IET Control Theory and Applications. (2009) 3, no. 3, 270–280, 2-s2.0-61849153843. DOI: 10.1049/iet-cta:20070384.
Zhao Y.-B., Liu G.-P., and Rees D. A predictive controlbased approach to networked hammerstein systems: design and stability analysis. IEEE Transactions on Systems, Man, and Cybernetics. Part B. (2008) 38, no. 3, 700–708, 2-s2.0-44849095836. DOI: 10.1109/ TSMCB.2008.918572.
Zhao Y.-B., Liu G.-P., and Rees D. A predictive control based approach to networked wiener systems. International Journal of Innovative Computing, Information and Control. (2008) 4, no. 11, 2793–2802, 2-s2.0-63549146576. [Онлайн]. URL: https://surl.li/aknhph. Дата звернення: 10.02.2025.
Liu G.-P., Xia Y., Chen J., Rees D., and Hu W. Networked predictive control of systems with random network delays in both forward and feedback channels. IEEE Transactions on Industrial Electronics. (2007) 54, no. 3, 1282–1297, 2-s2.0-37549072558. DOI: 10.1109/TIE.2007.893073.
Liu B., Xia Y., Mahmoud M. S., Wu H., and Cui S. New predictive control scheme for networked control systems. Circuits, Systems, and Signal Processing. (2012) 31, no. 3, 945–960, 2-s2.0-84860626769. DOI: 10.1007/s00034-011-9359-9.
Xiao L., Hassibi A., and How J.P. Control with random communication delays via a discrete-time jump system approach. Proceedings of American Control Conference (ACC’00), June 2000, Chicago, Ill, USA, 2199–2204, 2-s2.0-0034540045.
Liu L., Shan L., and Tong C. Delay-quantization and augmented controller vector method of networked control systems modeling. Proceedings of the 1st International Workshop on Education Technology and Computer Science (ETCS ′09), March 2009, Wuhan, China, 278–282, 2-s2.0-69749103871. [Онлайн]. URL: https://surl.li/ tluwsz. Дата звернення: 10.02.2025. DOI: 10.1109/ ETCS.2009.589.
Mao Z., Jiang B., and Shi P. Fault detection for a class of nonlinear networked control systems. International Journal of Adaptive Control and Signal Processing. (2010) 24, no. 7, 610–622, 2-s2.0-77954279006. DOI: 10.1002/acs.1161
Wei W., Wang B., and Towsley D. Continuous-time hidden Markov models for network performance evaluation. Performance Evaluation. (2002) 49, no. 1-4, 129–146, 2-s2.0-1642378633. DOI: 10.1016/ S0166-5316(02)00122-0
Huang D. and Nguang S.K. State feedback control of uncertain networked control systems with random time delays. IEEE Transactions on Automatic Control. (2008) 53, no. 3, 829–834, 2-s2.0-42649108401. [Онлайн]. URL: https://surl.li/omslbs. Дата звернення: 10.02.2025. DOI: 10.1109/TAC.2008.919571.
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