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Volume 2 Issue 4
Oct.  2015

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2015  >  2(4): 374-381
Yan Song, Haifeng Lou and Shuai Liu, "Distributed Model Predictive Control with Actuator Saturation for Markovian Jump Linear System," IEEE/CAA J. of Autom. Sinica, vol. 2, no. 4, pp. 374-381, 2015.
Citation: Yan Song, Haifeng Lou and Shuai Liu, "Distributed Model Predictive Control with Actuator Saturation for Markovian Jump Linear System," IEEE/CAA J. of Autom. Sinica, vol. 2, no. 4, pp. 374-381, 2015.
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Distributed Model Predictive Control with Actuator Saturation for Markovian Jump Linear System

  • 1. the Department of Control Science and Engineering, University of Shanghai for Science and Technology, Key Laboratory of Modern Optical System, Engineering Research Center of Optical Instrument and System, Ministry of Education, Shanghai 200093, China;

  • 2. the Business School, University of Shanghai for Science and Technology, Shanghai 200093, China

Funds:

This work was supported in part by National Natural Science Foundation of China (61403254, 61374039, 61203143), Shanghai Pujiang Program (13PJ1406300), Shanghai Natural Science Foundation of China (13ZR1428500), Innovation Program of Shanghai Municipal Education Commission (14YZ083), and Hujiang Foundation of China (C14002, B1402/D1402).

    Abstract
  • This paper is concerned with the distributed model predictive control (MPC) problem for a class of discrete-time Markovian jump linear systems (MJLSs) subject to actuator saturation and polytopic uncertainty in system matrices. The global system is decomposed into several subsystems which coordinate with each other. A set of distributed controllers is designed by solving a min-max optimization problem in terms of the solutions of linear matrix inequalities (LMIs). An iterative algorithm is developed to achieve the online computation. Finally, a simulation example is employed to show the effectiveness of the proposed algorithm.

     

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    • References(20)
  • [1]
    Park B G, Kwon W H. Robust one-step receding horizon control of discrete-time Markovian jump uncertain systems. Automatica, 2002, 38(7): 1229-1235
    [2]
    Sworder D D, Rogers R O. An LQ-solution to a control problem associated with a solar thermal central receiver. IEEE Transactions on Automatic Control, 1983, 28(10): 971-978
    [3]
    Blair Jr W P, Sworder D D. Feedback control of a class of linear discrete systems with jump parameters and quadratic cost criteria. International Journal of Control, 1975, 21(5): 833-841
    [4]
    Boukas E K, Haurie A. Manufacturing flow control and preventive maintenance: a stochastic control approach. IEEE Transactions on Automatic Control, 1990, 35(7): 1024-1031
    [5]
    Costa O L V, Fragoso M D, Marques R P. Discrete-time Markov Jump Linear Systems. London: Springer, 2005.
    [6]
    Lu J B, Li D W, Xi Y G. Constrained model predictive control synthesis for uncertain discrete-time Markovian jump linear systems. IET Control Theory and Applications, 2013, 7(5): 707-719
    [7]
    Wei G L, Wang Z D, Shu H S. Nonlinear H∞ control of stochastic time-delay systems with Markovian switching. Chaos, Solitons and Fractals, 2008, 35(3): 442-451
    [8]
    Byung-Gun P, Wook H, Jae-Won L E E. Robust receding horizon control of discrete-time Markovian jump uncertain systems. IEICE Transactions on Fundamentals, 2001, 84(9): 2272-2279
    [9]
    Zhang L W, Wang J C, Li C. Distributed model predictive control for polytopic uncertain systems subject to actuator saturation. Journal of Process Control, 2013, 23(8): 1075-1089
    [10]
    Scattolini R. Architectures for distributed and hierarchical model predictive control: a review. Journal of Process Control, 2009, 19(5): 723-731
    [11]
    Song Y, Fang X. Distributed model predictive control for polytopic uncertain systems with randomly occurring actuator saturation and packet loss. IET Control Theory and Applications, 2014, 8(5): 297-310
    [12]
    Jia D, Krogh B. Min-max feedback model predictive control for distributed control with communication. In: Proceedings of the 2002 American Control Conference. Anchorage, AK, USA: IEEE, 2002, 6: 4507-4512
    [13]
    Mercangöz M, Doyle III F J. Distributed model predictive control of an experimental four-tank system. Journal of Process Control, 2007, 17(3): 297-308
    [14]
    Li S Y, Zhang Y, Zhu Q M. Nash-optimization enhanced distributed model predictive control applied to the shell benchmark problem. Information Sciences, 2010, 170(2-4): 329-349
    [15]
    Al-Gherwi W, Budman H, Elkamel A. A robust distributed model predictive control algorithm. Journal of Process Control, 2011, 21(8): 1127-1137
    [16]
    Al-Gherwi W, Budman H, Elkamel A. Robust distributed model predictive control: a review and recent developments. The Canadian Journal of Chemical Engineering, 2011, 89(5): 1176-1190
    [17]
    Ding B C. Distributed robust MPC for constrained systems with polytopic description. Asian Journal of Control, 2011, 13(1): 198-212
    [18]
    Huang H, Li D W, Lin Z L, Xi Y G. An improved robust model predictive control design in the presence of actuator saturation. Automatica, 2011, 47(4): 861-864
    [19]
    Hu T S, Lin Z L. Control Systems with Actuator Saturation: Analysis and Design. New York: Springer, 2001.
    [20]
    Hu T S, Lin Z L, Chen B M. Analysis and design for discretetime linear systems subject to actuator saturation. Systems and Control Letters, 2002, 45(2): 97-112
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