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Decentralized Model Predictive Control for Networks of Linear Systems with Coupling Delay

Author

Listed:
  • Tri Tran

    (Curtin University)

  • Q. P. Ha

    (University of Technology, Sydney)

Abstract

This paper presents a new dissipativity-based decentralized model predictive control strategy for networks of linear systems suffering from a bounded coupling delay. The notion of delay-robust dissipativity is introduced and applied to the development of interconnection stability conditions. The dissipation inequality of system trajectories is converted into a prognostic stability constraint for the optimization problem of model predictive control to guarantee the system stability. A recursive feasibility condition is derived for the constrained optimization problem, which is formulated in a semi-definite program. A numerical example of an interconnected three-unit process system is provided for illustrations.

Suggested Citation

  • Tri Tran & Q. P. Ha, 2014. "Decentralized Model Predictive Control for Networks of Linear Systems with Coupling Delay," Journal of Optimization Theory and Applications, Springer, vol. 161(3), pages 933-950, June.
    • Handle: RePEc:spr:joptap:v:161:y:2014:i:3:d:10.1007_s10957-013-0379-4
    DOI: 10.1007/s10957-013-0379-4
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    References listed on IDEAS

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    1. Lü, Jinhu & Yu, Xinghuo & Chen, Guanrong, 2004. "Chaos synchronization of general complex dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 334(1), pages 281-302.
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    3. M. S. Mahmoud, 2009. "Decentralized Reliable Control of Interconnected Systems with Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 143(3), pages 497-518, December.
    4. Li, Chunguang & Chen, Guanrong, 2004. "Synchronization in general complex dynamical networks with coupling delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 263-278.
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