Least-restrictive robust MPC of periodic affine systems with application to building climate control

Robust state-feedback model predictive control (MPC) of discrete-time periodic affine systems is considered. States and inputs are subject to periodically time-dependent, hard, convex, polyhedral constraints. Disturbances are additive, bounded and subject to periodically time-dependent bounds. The c...

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Bibliographic Details
Main Authors: Gondhalekar, R, Oldewurtel, F, Jones, C N
Format: Conference Proceeding
Language:English
Subjects:
Building climate control
Buildings
Constrained control
Heating
Meteorology
Model predictive control
Periodic systems
Robustness
Set invariance
Stochastic processes
Trajectory
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Summary:Robust state-feedback model predictive control (MPC) of discrete-time periodic affine systems is considered. States and inputs are subject to periodically time-dependent, hard, convex, polyhedral constraints. Disturbances are additive, bounded and subject to periodically time-dependent bounds. The control objective is given in terms of periodically time-dependent costs. First, maximum robust periodic controlled invariant sets are formally characterized and subsequently employed in the design of least-restrictive robustly strongly feasible periodic MPC problems. Finally, the proposed methods are applied to controlling room temperatures in buildings.
ISSN:0191-2216
DOI:10.1109/CDC.2010.5717371