Event–Based Feedforward Control of Linear Systems with input Time–Delay

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 Transactions65: 327–338.10.1016/j.isatra.2016.08.01927622429Search in Google Scholar

Åström, K.J. and Wittenmark, B. (1997). Computer-controlled Systems: Theory and Design, 3rd Edn., Prentice Hall, Upper Saddle River, NJ.Search in Google Scholar

Behera, A.K. and Bandyopadhyay, B. (2017). Robust sliding mode control: An event-triggering approach, IEEE Transactions on Circuits and Systems II: Express Briefs64(2): 146–150.10.1109/TCSII.2016.2551542Search in Google Scholar

Behera, A.K., Bandyopadhyay, B. and Yu, X. (2018). Periodic event-triggered sliding mode control, Automatica96: 61–72.10.1016/j.automatica.2018.06.035Search in Google Scholar

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. 7370–7375.10.1109/CDC.2013.6761059Search in Google Scholar

Chen, W.-H. (2004). Disturbance observer based control for nonlinear systems, IEEE/ASME Transactions on Mechatronics9(4): 706–710.10.1109/TMECH.2004.839034Search in Google Scholar

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 Transactions79: 13–26.10.1016/j.isatra.2018.05.00429793738Search in Google Scholar

Dimarogonas, D.V., Frazzoli, E. and Johansson, K.H. (2012). Distributed event-triggered control for multi-agent systems, IEEE Transactions on Automatic Control57(5): 1291–1297.10.1109/TAC.2011.2174666Search in Google Scholar

Fridman, E. (2014). Introduction to time-delay and sampled-data systems, European Control Conference (ECC), Strasbourg, France, pp. 1428–1433.10.1109/ECC.2014.6862628Search in Google Scholar

Gu, K., Kharitonov, V. and Chen, J. (2003). Stability of Time-Delay Systems, Springer Science & Business Media, Boston, MA.10.1007/978-1-4612-0039-0Search in Google Scholar

Guzmán, J.L. and Hägglund, T. (2011). Simple tuning rules for feedforward compensators, Journal of Process Control21(1): 92–102.10.1016/j.jprocont.2010.10.007Search in Google Scholar

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 Control58(4): 847–861.10.1109/TAC.2012.2220443Search in Google Scholar

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 Control61(10): 2766–2781.10.1109/TAC.2015.2502422Search in Google Scholar

Jiang, X. and Han, Q.L. (2006). Delay-dependent robust stability for uncertain linear systems with interval time-varying delay, Automatica42(6): 1059–1065.10.1016/j.automatica.2006.02.019Search in Google Scholar

Krasovskii, N.N. (1956). On the application of the second method of Lyapunov for equations with time delays, Prikladnaja Matematika i Mekhanika20(1): 315–327.Search in Google Scholar

Kufner, A., Maligranda, L. and Persson, L.-E. (2007). The Hardy Inequality: About Its History and Some Related Results, Vydavatelskỳ servis, Pilsen.Search in Google Scholar

Lehmann, D. and Lunze, J. (2011). Event-based output-feedback control, 19th Mediterranean Conference on Control & Automation (MED), Corfu, Greece, pp. 982–987.10.1109/MED.2011.5983002Search in Google Scholar

Li, S., Yang, J., Chen, W.-H. and Chen, X. (2016). Disturbance Observer-Based Control: Methods and Applications, CRC Press, Boca Raton, FL.10.1201/b16570Search in Google Scholar

Lunze, J. (2015). Event-based Control and Signal Processing, CRC Press, Boca Raton, FL, pp. 3–20.Search in Google Scholar

Lunze, J. and Lehmann, D. (2010). A state-feedback approach to event-based control, Automatica46(1): 211–215.10.1016/j.automatica.2009.10.035Search in Google Scholar

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 Computation333: 20–31.10.1016/j.amc.2018.03.093Search in Google Scholar

Mazo, M., Anta, A. and Tabuada, P. (2010). An ISS self-triggered implementation for linear controllers, Auto-matica46(8): 1310–1314.10.1016/j.automatica.2010.05.009Search in Google Scholar

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. 1344–1349.10.1109/ACC.2010.5530443Search in Google Scholar

Miskowicz, M. (2015). Event-based Control and Signal Processing, CRC Press, Boca Raton, FL.Search in Google Scholar

Orihuela, L., Millán, P., Vivas, C. and Rubio, F.R. (2014). Event-based H₂/H_∞ controllers for networked control systems, International Journal of Control87(12): 2488–2498.10.1080/00207179.2014.929745Search in Google Scholar

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 Control58(10): 2620–2626.10.1109/TAC.2013.2256015Search in Google Scholar

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 Computation320: 535–546.10.1016/j.amc.2017.09.037Search in Google Scholar

Tabuada, P. (2007). Event-triggered real-time scheduling of stabilizing control tasks, IEEE Transactions on Automatic Control52(9): 1680–1685.10.1109/TAC.2007.904277Search in Google Scholar

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.Search in Google Scholar

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. 2105–2110.10.1109/CDC.2008.4739105Search in Google Scholar

Wang, X. and Lemmon, M. (2009). Self-triggered feedback control systems with finite-gain L₂ stability, IEEE Transactions on Automatic Control45(3): 452–467.10.1109/TAC.2009.2012973Search in Google Scholar

Wu, L., Gao, Y., Liu, J. and Li, H. (2017). Event-triggered sliding mode control of stochastic systems via output feedback, Automatica82: 79–92.10.1016/j.automatica.2017.04.032Search in Google Scholar

Yue, D., Han, Q.-L. and Lam, J. (2005). Network-based robust H_∞ control of systems with uncertainty, Automatica41(6): 999–1007.10.1016/j.automatica.2004.12.011Search in Google Scholar

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 Control58(2): 475–481.10.1109/TAC.2012.2206694Search in Google Scholar

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 Systems26(7): 1480–1492.10.1109/TNNLS.2014.234729025181489Search in Google Scholar

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 Papers60(5): 1250–1263.10.1109/TCSI.2013.2246213Search in Google Scholar