Model Predictive Control for Switching Systems With Dwell-Time Restriction

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...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2016-12, Vol.61 (12), p.4189-4195
Main Authors: Chong-Jin Ong, Zheming Wang, Dehghan, Masood
Format: Article
Language:English
Subjects:
Asymptotic stability
Constrained systems
Cost function
Dwell time
Feedback control
Horizon
Linear systems
model predictive control
Optimization
Predictive control
returnable set
Switches
Switching sequences
Switching systems
Terminal constraints
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Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2016.2552062