Multi-Resolution Explicit Model Predictive Control: Delta-Model Formulation and Approximation

Abstract

This paper deals with the explicit solution and approximation of the constrained linear finite time optimal control problem for systems with fast sampling rates. To this aim, the recently developed explicit model predictive control (eMPC) is reformulated and characterized using the -operator to enjoy its promising advantages compared to the timeshift operator. Using the proposed -model eMPC formulation, a systematic method is proposed for first designing a low-complexity approximate eMPC solution and then improving its closed loop actionwithout first determining an exact optimal solution that might be of prohibitive complexity. It is shown that the stability and feasibility of the proposed sub-optimal solution is guaranteed.

DOI: 10.1109/TAC.2013.2259982

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Cite this paper

@article{Bayat2013MultiResolutionEM, title={Multi-Resolution Explicit Model Predictive Control: Delta-Model Formulation and Approximation}, author={Farhad Bayat and Tor Arne Johansen}, journal={IEEE Trans. Automat. Contr.}, year={2013}, volume={58}, pages={2979-2984} }