Economic MPC without terminal constraints

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Event details

Date 29.11.2013
Hour 10:15
Speaker Lars Grüne
Location
Category Conferences - Seminars
Economic MPC is a variant of model predictive control in which the control objective is more general than stabilizing a prescribed equilibrium. For instance, the objectice could be to maximize yield, minimize costs or energy, or a combination thereof. Formally, such general stage costs are easily incorporated in the finite horizon optimal control problem solved in the MPC loop in each sampling instance. It is, however, in general unclear, if and if yes in which sense the closed loop inherits the finite horizon optimality properties. In this talk we will present corresponding results for MPC without terminal constraints. It will turn out that the so called turnpike property plays a crucial role in this analysis. We will hence also discuss conditions on the control system which ensure this property. Parts of the talk are based on joint work with Tobias Damm, Marleen Stieler and Karl Worthmann.