Characterization of switching sequences on system with dwell-time restriction for Model Predictive Control

Ong, Chong-Jin;Wang, Zheming;Dehghan, Masood
(2015) 2015 54th IEEE Conference on Decision and Control (CDC) — Location: Osaka (15.December.2015)

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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 discrete-time linear system where the switching signal is prescribed but its future values are unknown except that at the current time. The switching signal satisfies a minimal dwell time restriction of τ steps between successive switchings (including the case of τ = 1) 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. These include the use of a modified returnable set as the terminal constraint; the introduction of consistency constraints on the predicted controls for recursive feasibility consideration; a min-max optimization criterion as the cost function; the splitting of the horizon length into two portions for recursive feasibility consideration and exponential stability of the closed-loop system. The proposed approach is demonstrated by numerical example.
Affiliations
  • National University of Singapore

Citations

Ong, C.-J., Wang, Z., & Dehghan, M. (2015). Characterization of switching sequences on system with dwell-time restriction for Model Predictive Control. 2015 54th IEEE Conference on Decision and Control (CDC). Published. 2015 54th IEEE Conference on Decision and Control (CDC), Osaka. https://doi.org/10.1109/cdc.2015.7402786