Model predictive control for linear DAEs without terminal constraints and costs

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Abstract

We consider model predictive control (MPC) without stabilizing terminal constraints and costs for systems governed by linear Differential-Algebraic Equations. To this end, an augmented system is introduced to derive an equivalent formulation of the underlying Optimal Control Problem to be solved in each MPC iteration, which is only constrained by an Ordinary Differential Equation. This facilitates the analysis and the computation of a prediction horizon such that asymptotic stability of the origin w.r.t. the MPC closed-loop is guaranteed.

Keywords

Asymptotic stability
differential algebraic equations
model based control
optimization horizon
predictive control

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The authors are indebted to the Germany Research Foundation (DFG) (grants IL 25/10-1 and WO2056/2-1) and the Studienstiftung des Deutschen Volkes for their support.

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