A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation
Volume 5 Issue 1
Jan.  2018

IEEE/CAA Journal of Automatica Sinica

  • JCR Impact Factor: 6.171, Top 11% (SCI Q1)
    CiteScore: 11.2, Top 5% (Q1)
    Google Scholar h5-index: 51, TOP 8
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Article Contents
Xiaoxiao Mi and Shaoyuan Li, "Event-triggered MPC Design for Distributed Systems With Network Communications," IEEE/CAA J. Autom. Sinica, vol. 5, no. 1, pp. 240-250, Jan. 2018. doi: 10.1109/JAS.2016.7510154
Citation: Xiaoxiao Mi and Shaoyuan Li, "Event-triggered MPC Design for Distributed Systems With Network Communications," IEEE/CAA J. Autom. Sinica, vol. 5, no. 1, pp. 240-250, Jan. 2018. doi: 10.1109/JAS.2016.7510154

Event-triggered MPC Design for Distributed Systems With Network Communications

doi: 10.1109/JAS.2016.7510154
Funds:

the National Natural Science Foundation of China 61233004

the National Natural Science Foundation of China 61590924

the National Natural Science Foundation of China 61521063

More Information
  • This paper deals with the communication problem in the distributed system, considering the limited battery power in the wireless network and redundant transmission among nodes. We design an event-triggered model predictive control (ET-MPC) strategy to reduce the unnecessary communication while promising the system performance. On one hand, for a linear discrete time-invariant system, a triggering condition is derived based on the Lyapunov stability. Here, in order to further reduce the communication rate, we enforce a triggering condition only when the Lyapunov function will exceed its value at the last triggered time, but an average decrease is guaranteed. On the other hand, the feasibility is ensured by minimizing and optimizing the terminal constrained set between the maximal control invariant set and the target terminal set. Finally, we provide a simulation to verify the theoretical results. It's shown that the proposed strategy achieves a good trade-off between the closed-loop system performance and communication rate.

     

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  • [1]
    R. Scattolini, "Architectures for distributed and hierarchical model predictive control-a review, " J. Process Control, vol. 19, no. 5, pp. 723-731, May 2009. http://www.sciencedirect.com/science/article/pii/S0959152409000353
    [2]
    J. M. Maestre, D. M. De La Pe?na, E. F. Camacho, and T. Alamo, "Distributed model predictive control based on agent negotiation, " J. Process Control, vol. 21, no. 5, pp. 685-697, Jun. 2011. http://www.sciencedirect.com/science/article/pii/S0959152410002404
    [3]
    G. Anastasi, M. Conti, M. Di Francesco, and A. Passarella, "Energy conservation in wireless sensor networks:a survey, " Ad Hoc Networks, vol. 7, no. 3, pp. 537-568, May 2009.
    [4]
    W. P. M. H. Heemels, K. H. Johansson, and P. Tabuada, "An introduction to event-triggered and self-triggered control, " in Proc. 2012 IEEE 51st Annu. Conf. Decision and Control, Maui, USA, 2012, pp. 3270-3285. http://ieeexplore.ieee.org/xpls/icp.jsp?arnumber=6425820
    [5]
    T. F. Liu and Z. P. Jiang, "A small-gain approach to robust eventtriggered control of nonlinear systems, " IEEE Trans. Automat. Control, vol. 60, no. 8, pp. 2072-2085, Aug. 2015. http://ieeexplore.ieee.org/document/7027161/
    [6]
    T. F. Liu and Z. P. Jiang, "Event-based control of nonlinear systems with partial state and output feedback, " Automatica, vol. 53, pp. 10-22, Mar. 2015. http://www.sciencedirect.com/science/article/pii/S0005109814006062
    [7]
    T. M. P. Gommans and W. P. M. H. Heemels, "Resource-aware MPC for constrained nonlinear systems:a self-triggered control approach, " Syst. Control Lett., vol. 79, pp. 59-67, May 2015. http://www.sciencedirect.com/science/article/pii/S0167691115000481
    [8]
    W. P. M. H. Heemels and M. C. F. Donkers, "Model-based periodic event-triggered control for linear systems, " Automatica, vol. 49, no. 3, pp. 698-711, Mar. 2013. http://www.sciencedirect.com/science/article/pii/S0005109812005614
    [9]
    W. P. M. H. Heemels, M. C. F. Donkers, and A. R. Teel, "Periodic eventtriggered control for linear systems, " IEEE Trans. Automat. Control, vol. 58, no. 4, pp. 847-861, Apr. 2013. doi: 10.1145/3049797.3049815
    [10]
    G. H. Wen, M. Z. Q. Chen, and X. H. Yu, "Event-triggered masterslave synchronization with sampled-data communication, " IEEE Trans. Circuits Syst. Ⅱ, vol. 63, no. 3, pp. 304-308, Mar. 2016. http://ieeexplore.ieee.org/document/7277053/
    [11]
    G. Guo, L. Ding, and Q. L. Han, "A distributed event-triggered transmission strategy for sampled-data consensus of multi-agent systems, " Automatica, vol. 50, no. 5, pp. 1489-1496, May 2014. http://www.sciencedirect.com/science/article/pii/S0005109814001095
    [12]
    Y. Cheng and V. Ugrinovskii, "Event-triggered leader-following tracking control for multivariable multi-agent systems, " Automatica, vol. 70, pp. 204-210, Aug. 2016. http://www.sciencedirect.com/science/article/pii/S000510981630125X
    [13]
    Y. Iino, T. Hatanaka, and M. Fujita, "Event-predictive control for energy saving of wireless networked control system, " in Proc. American Control Conf., St. Louis, USA, 2009, pp. 2236-2242. http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5160732
    [14]
    W. K. Wojsznis, T. Blevins, and M. J. Nixon, "Model predictive control with event driven operation, " in Proc. 2015 Int. Conf. Event-based Control, Communication, and Signal Processing, Krakow, Poland, 2015, pp. 1-6.
    [15]
    D. Bernardini and A. Bemporad, "Energy-aware robust model predictive control based on noisy wireless sensors, " Automatica, vol. 48, no. 1, pp. 36-44, Jan. 2012. http://www.sciencedirect.com/science/article/pii/S0005109811004626
    [16]
    H. P. Li and Y. Shi, "Event-triggered robust model predictive control of continuous-time nonlinear systems, " Automatica, vol. 50, no. 5, pp. 1507-1513, May 2014.
    [17]
    K. Hashimoto, S. Adachi, and D. V. Dimarogonas, "Distributed aperiodic model predictive control for multi-agent systems, " IET Control Theory Appl., vol. 9, no. 1, pp. 10-20, Jan. 2015. http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6987401
    [18]
    D. Groß, "Distributed model predictive control with event-based communication, " Ph. D. dissertation, Kassel Univ. Press GmbH, Kassel, 2015.
    [19]
    B. Pluymers, J. A. K. Suykens, and B. De Moor, "Min-max feedback MPC using a time-varying terminal constraint set and comments on 'Efficient robust constrained model predictive control with a timevarying terminal constraint set', " System & Control Letters, vol. 54, no. 12, pp. 1143-1148, 2005. doi: 10.1103/PhysRevE.51.4282
    [20]
    D. V. Dimarogonas and K. J. Kyriakopoulos, "Event-triggered strategies for decentralized model predictive control", in Proceedings of the 18th IFAC World Congress, Milano, Italy: IEEE, 2011, pp. 10068-10073
    [21]
    K. Hashimoto, S. Adachi, and D. V. Dimarogonas, "Distributed aperiodic model predictive control for multi-agent systems, " IET Control Theory & Applications, vol. 9, no. 1, pp. 10-20, 2015. http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6987401

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