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

Tri Tran () and Q. P. Ha ()
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Tri Tran: Curtin University
Q. P. Ha: University of Technology, Sydney

Journal of Optimization Theory and Applications, 2014, vol. 161, issue 3, No 15, 933-950

Abstract: 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.

Keywords: Network system; Coupling delay; Stability constraint (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10957-013-0379-4

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