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Event-based feedforward control of linear systems with input time-delay

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Języki publikacji
EN
Abstrakty
EN
This paper proposes a new method for the analysis of continuous and periodic event-based state-feedback plus static feedforward controllers that regulate linear time invariant systems with time delays. Measurable disturbances are used in both the control law and triggering condition to provide better disturbance attenuation. Asymptotic stability and L2-gain disturbance rejection problems are addressed by means of Lyapunov–Krasovskii functionals, leading to performance conditions that are expressed in terms of linear matrix inequalities. The proposed controller offers better disturbance rejection and a reduction in the number of transmissions with respect to other robust event-triggered controllers in the literature.
Rocznik
Strony
541--553
Opis fizyczny
Bibliogr. 36 poz., rys., tab., wykr.
Twórcy
  • Department of Computer Sciences and Automatic Control, National University of Distance Education (UNED), c/ Juan del Rosal 16, 28040 Madrid, Spain
  • Department of Computer Sciences and Automatic Control, National University of Distance Education (UNED), c/ Juan del Rosal 16, 28040 Madrid, Spain
  • Department of Computer Sciences and Automatic Control, National University of Distance Education (UNED), c/ Juan del Rosal 16, 28040 Madrid, Spain
  • Department of Computer Science, University of Almería, CIESOL-ceiA3, Carretera Sacramento s/n, E04120 Almería, Spain
  • Department of Computer Sciences and Automatic Control, National University of Distance Education (UNED), c/ Juan del Rosal 16, 28040 Madrid, Spain
Bibliografia
  • [1] Aranda-Escolástico, E., Guinaldo, M., Gordillo, F. and Dormido, S. (2016). A novel approach to periodic event-triggered control: Design and application to the inverted pendulum, ISA Transactions 65: 327–338.
  • [2] Åström, K.J. and Wittenmark, B. (1997). Computer-controlled Systems: Theory and Design, 3rd Edn., Prentice Hall, Upper Saddle River, NJ.
  • [3] Behera, A.K. and Bandyopadhyay, B. (2017). Robust sliding mode control: An event-triggering approach, IEEE Transactions on Circuits and Systems II: Express Briefs 64(2): 146–150.
  • [4] Behera, A.K., Bandyopadhyay, B. and Yu, X. (2018). Periodic event-triggered sliding mode control, Automatica 96: 61–72.
  • [5] Borgers, D.P. and Heemels, W.P.M.H. (2013). On minimum inter-event times in event-triggered control, 52nd IEEE Conference on Decision and Control (CDC), Florence, Italy, pp. 7370–7375.
  • [6] Chen, W.-H. (2004). Disturbance observer based control for nonlinear systems, IEEE/ASME Transactions on Mechatronics 9(4): 706–710.
  • [7] Chu, X. and Li, M. (2018). H∞ observer-based event-triggered sliding mode control for a class of discrete-time nonlinear networked systems with quantizations, ISA Transactions 79: 13–26.
  • [8] Dimarogonas, D.V., Frazzoli, E. and Johansson, K.H. (2012). Distributed event-triggered control for multi-agent systems, IEEE Transactions on Automatic Control 57(5): 1291–1297.
  • [9] Fridman, E. (2014). Introduction to time-delay and sampled-data systems, European Control Conference (ECC), Strasbourg, France, pp. 1428–1433.
  • [10] Gu, K., Kharitonov, V. and Chen, J. (2003). Stability of Time-Delay Systems, Springer Science & Business Media, Boston, MA.
  • [11] Guzmán, J.L. and Hägglund, T. (2011). Simple tuning rules for feedforward compensators, Journal of Process Control 21(1): 92–102.
  • [12] Heemels, W.P.M.H., Donkers, M.C.F. and Teel, A.R. (2013). Periodic event-triggered control for linear systems, IEEE Transactions on Automatic Control 58(4): 847–861.
  • [13] Heemels, W.P.M.H., Dullerud, G.E. and Teel, A.R. (2016). L2-gain analysis for a class of hybrid systems with applications to reset and event-triggered control: A lifting approach, IEEE Transactions on Automatic Control 61(10): 2766–2781.
  • [14] Jiang, X. and Han, Q.L. (2006). Delay-dependent robust stability for uncertain linear systems with interval time-varying delay, Automatica 42(6): 1059–1065.
  • [15] Krasovskii, N.N. (1956). On the application of the second method of Lyapunov for equations with time delays, Prikladnaja Matematika i Mekhanika 20(1): 315–327.
  • [16] Kufner, A., Maligranda, L. and Persson, L.-E. (2007). The Hardy Inequality: About Its History and Some Related Results, Vydavatelský servis, Pilsen.
  • [17] Lehmann, D. and Lunze, J. (2011). Event-based output-feedback control, 19th Mediterranean Conference on Control & Automation (MED), Corfu, Greece, pp. 982–987.
  • [18] Li, S., Yang, J., Chen, W.-H. and Chen, X. (2016). Disturbance Observer-Based Control: Methods and Applications, CRC Press, Boca Raton, FL.
  • [19] Lunze, J. (2015). Event-based Control and Signal Processing, CRC Press, Boca Raton, FL, pp. 3–20.
  • [20] Lunze, J. and Lehmann, D. (2010). A state-feedback approach to event-based control, Automatica 46(1): 211–215.
  • [21] Ma, D., Li, X., Sun, Q. and Xie, X. (2018). Fault tolerant synchronization of chaotic systems with time delay based on the double event-triggered sampled control, Applied Mathematics and Computation 333: 20–31.
  • [22] Mazo, M., Anta, A. and Tabuada, P. (2010). An ISS self-triggered implementation for linear controllers, Automatica 46(8): 1310–1314.
  • [23] Millán, P., Orihuela, L., Vivas, C. and Rubio, F.R. (2010). An optimal control L2-gain disturbance rejection design for networked control systems, American Control Conference (ACC), Baltimore, MD, USA, pp. 1344–1349.
  • [24] Miskowicz, M. (2015). Event-based Control and Signal Processing, CRC Press, Boca Raton, FL.
  • [25] Orihuela, L., Millán, P., Vivas, C. and Rubio, F.R. (2014). Event-based H2/H∞ controllers for networked control systems, International Journal of Control 87(12): 2488–2498.
  • [26] Peng, C. and Han, Q.L. (2013). A novel event-triggered transmission scheme and L2 control co-design for sampled-data control systems, IEEE Transactions on Automatic Control 58(10): 2620–2626.
  • [27] Qi, W., Kao, Y., Gao, X. and Wei, Y. (2018). Controller design for time-delay system with stochastic disturbance and actuator saturation via a new criterion, Applied Mathematics and Computation 320: 535–546.
  • [28] Tabuada, P. (2007). Event-triggered real-time scheduling of stabilizing control tasks, IEEE Transactions on Automatic Control 52(9): 1680–1685.
  • [29] Velasco, M., Fuertes, J. and Marti, P. (2003). The self triggered task model for real-time control systems, 24th IEEE Real-Time Systems Symposium, Cancun, Mexico, Vol. 384.
  • [30] Wang, X. and Lemmon, M. (2008). Event design in event-triggered feedback control systems, 47th IEEE Conference on Decision and Control (CDC), Cancun, Mexico, pp. 2105–2110.
  • [31] Wang, X. and Lemmon, M. (2009). Self-triggered feedback control systems with finite-gain L2 stability, IEEE Transactions on Automatic Control 45(3): 452–467.
  • [32] Wu, L., Gao, Y., Liu, J. and Li, H. (2017). Event-triggered sliding mode control of stochastic systems via output feedback, Automatica 82: 79–92.
  • [33] Yue, D., Han, Q.-L. and Lam, J. (2005). Network-based robust H∞ control of systems with uncertainty, Automatica 41(6): 999–1007.
  • [34] Yue, D., Tian, E. and Han, Q. (2013). A delay system method for designing event-triggered controllers of networked control systems, IEEE Transactions on Automatic Control 58(2): 475–481.
  • [35] Zhang, B., Lam, J. and Xu, S. (2015). Stability analysis of distributed delay neural networks based on relaxed Lyapunov–Krasovskii functionals, IEEE Transactions on Neural Networks and Learning Systems 26(7): 1480–1492.
  • [36] Zhang, B., Zheng, W. X. and Xu, S. (2013). Filtering of Markovian jump delay systems based on a new performance index, IEEE Transactions on Circuits and Systems I: Regular Papers 60(5): 1250–1263.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-c7dcd716-e866-4b6f-bd59-b4c23e7ba3ec
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