Volume 14, Issue 1 (Journal of Control, V.14, N.1 Spring 2020)                   JoC 2020, 14(1): 11-24 | Back to browse issues page

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Zarei F, Shafiei M H, Rahideh A. Analysis of Applying Event-Triggered Strategy on the Model Predictive Control. JoC 2020; 14 (1) :11-24
URL: http://joc.kntu.ac.ir/article-1-402-en.html
Abstract:   (6484 Views)
In this paper, the event-triggered strategy in the case of finite-horizon model predictive control (MPC) is studied and its advantages over the input to state stability (ISS) Lyapunov based triggering rule is discussed. In the MPC triggering rule, all the state trajectories in the receding horizon are considered to obtain the triggering rule. Clearly, the finite horizon MPC is sub-optimal with respect to the infinite-horizon case. This sub-optimality is considered as a coefficient to implement the MPC triggering rule and to increase the inter-execution time. However, to design a proper processing board to control this coefficient suitably, it is necessary to specify lower and upper bounds for it. The contribution of this paper is to determine an effective upper bound for this coefficient. By incorporating the sub-optimal lower bound instead of being 1, the conservatism decreases. This coefficient can be used as a tunable parameter in integrated or network control systems to compromise between the performance and inter-execution time. Simulation results depict the applicability of the proposed method and validate the theoretical results.
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Type of Article: Research paper | Subject: Special
Received: 2016/09/6 | Accepted: 2018/11/5 | Published: 2020/06/11

1. [1] P. Tabuada, "Event-triggered real-time scheduling of stabilizing control tasks," IEEE Transactions on Automatic Control, vol. 52, no. 9, pp. 1680-1685, 2007. [DOI:10.1109/TAC.2007.904277]
2. [2] M. Mazo, A. Anta and P. Tabuada, "An ISS self-triggered implementation of linear controllers," Automatica, vol. 46, no. 8 pp. 1310-1314, 2010. [DOI:10.1016/j.automatica.2010.05.009]
3. [3] H. Adloo, and M.H. Shafiei, "A robust adaptive event-triggered control scheme for dynamic output-feedback systems". Information Sciences, vol. 477, pp. 65-79, 2019. [DOI:10.1016/j.ins.2018.10.017]
4. [4] R. Postoyan, P. Tabuada, D. Nešić and A. Anta, "Event-triggered and self-triggered stabilization of distributed networked control systems," in 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC 2011), pp. 2565-2570, 2011. [DOI:10.1109/CDC.2011.6160795]
5. [5] X. Wang and M.D. Lemmon, "Asymptotic stability in distributed event-triggered networked control systems with delays," in: American Control Conference (ACC 2010), pp. 1362-1367, 2010.
6. [6] F. Zarei, and M.H. Shafieiو "On event-triggered tracking for non-linear SISO systems via sliding mode control." IMA Journal of Mathematical Control and Information, doi:10.1093/imamci/dny041, 2018. [DOI:10.1093/imamci/dny041]
7. [7] M. B. G. Posthumus-Cloosterman, "Control over communication networks: modeling, analysis, and synthesis," Ph. D. dissertation, Eindhoven University of Technology, the Netherlands, doi: 10.6100/IR635444, 2008.
8. [8] A. Rahideh and M.Shaheed, "Constrained output feedback model predictive control for nonlinear systems," Control engineering practice, vol. 20, no. 4, pp. 431-443, 2012. [DOI:10.1016/j.conengprac.2011.12.003]
9. [9] D. Lehema, E. Henriksson and K. H. Johansson, "Event-Triggered Model predictive control of Discrete-Time Linear Systems Subject to Disturbance," In Control Conference (ECC), 2013 EUREAPAN, pp. 1156-1161, 2013. [DOI:10.23919/ECC.2013.6669580]
10. [10] A. Eqtami , D.V. Dimarogonas and K.J. Kyriakopoulos, "Event-triggered control for discrete-time systems," in: American Control Conference (ACC 2010), pp. 4719-4724, 2010. [DOI:10.1109/ACC.2010.5531089]
11. [11] J.B. Berglind, T. Gommans and W. Heemels, "Self-triggered MPC for constrained linear systems and quadratic costs," in: IFAC Nonlinear Model Predictive Control Conference, Noordwijkerhout, The Netherlands, pp. 342-348, 2012. [DOI:10.3182/20120823-5-NL-3013.00058]
12. [12] A. Eqtami, D.V. Dimarogonas and K.J. Kyriakopoulos, "Novel event-triggered strategies for model predictive controllers," 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC 2011), pp. 3392-3397, 2011. [DOI:10.1109/CDC.2011.6161348]
13. [13] E. Henriksson, et al. "Multiple-loop self-triggered model predictive control for network scheduling and control." IEEE Transactions on Control Systems Technology, vol. 23, no. 6, pp. 2167-2181, 2015. [DOI:10.1109/TCST.2015.2404308]
14. [14] Zhan, Jingyuan, and Xiang Li. "Self-triggered consensus of multi-agent systems via model predictive control." IFAC-PapersOnLine, vol. 49, no. 4, pp. 19-24, 2016. [DOI:10.1016/j.ifacol.2016.05.004]
15. [15] Zhang, Jing, Su Liu, and Jinfeng Liu. "Economic model predictive control with triggered evaluations: State and output feedback." Journal of Process Control, vol. 24, no. 8, pp. 1197-1206, 2014. [DOI:10.1016/j.jprocont.2014.03.009]
16. [16] J.A. Primbs and V. Nevistic, "Constrained finite receding horizon linear quadratic control," in: Proceedings of the 36th IEEE Conference on Decision and Control, pp. 3196-3201, 1997.
17. [17] A. Jadbabaie, J. Yu, and J. Hauser. "Unconstrained Receding-Horizon Control of Nonlinear Systems". IEEE Transactions on Automatic Control, vol. 46, no. 5, pp. 776-783, 2001. [DOI:10.1109/9.920800]
18. [18] M.V. Kothare, V. Balakrishnan and M. Morari, "Robust constrained model predictive control using linear matrix inequalities," Automatica, vol. 32, no. 10, pp. 1361-1379, 1996. [DOI:10.1016/0005-1098(96)00063-5]
19. [19] D.Q. Mayne, and H. Michalska, "Receding horizon control of nonlinear systems " IEEE Transactions on automatic control, vol. 35, no. 7, pp. 814-824, 1990. [DOI:10.1109/9.57020]
20. [20] D. Nesic and A. R. Teel, "Input-Output Stability Properties of Networked Control Systems," IEEE Transactions on automatic control, vol. 49, no. 10, pp. 1650-1667, 2004. [DOI:10.1109/TAC.2004.835360]

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