Model Predictive Control for Switching Systems With Dwell-Time Restriction

Ong, Chong-Jin;Wang, Zheming;Dehghan, Masood
(2016) IEEE Transactions on Automatic Control — Vol. 61, n° 12, p. 4189-4195 (2016)

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Authors
  • Ong, Chong-Jin
    Author
  • Wang, ZhemingUCLouvain
    Author
  • Dehghan, Masood
    Author
Abstract
This work proposes a model predictive control (MPC) approach for a switching linear system where the switching signal is prescribed with unknown future values. The switching signal is known only at its current value, satisfies a minimal dwell-time restriction of τ steps between successive switchings and is otherwise arbitrary. Under such a setting, the MPC optimization problem has to allow for all admissible switching sequences within a given horizon length. Such a formulation necessitates several other features: the use of a modified returnable set as the terminal constraint; the introduction of consistency constraints on the predicted controls; a min-max optimization criterion as the cost function; the splitting of the horizon into two portions for recursive feasibility consideration and exponential stability of the closed-loop system. The proposed approach is demonstrated by a numerical example.
Affiliations
  • National University of Singapore

Citations

Ong, C.-J., Wang, Z., & Dehghan, M. (2016). Model Predictive Control for Switching Systems With Dwell-Time Restriction. IEEE Transactions on Automatic Control, 61(12), 4189-4195. https://doi.org/10.1109/tac.2016.2552062 (Original work published 2016)