Performance Analysis for Distributed and Multiobjective Model Predictive Control

Gr 1569/13-2

Project financing:

Deutsche Forschungsgemeinschaft

Abstract in another language

We consider nonlinear model predictive control (MPC) with multiple competing cost func- tions. In each step of the scheme, a multiobjective optimal control problem with a nonlinear system and terminal conditions is solved. We propose an algorithm and give performance guarantees for the resulting MPC closed loop system. Thereby, we significantly simplify the assumptions made in the literature so far by assuming strict dissipativity and the existence of a compatible terminal cost for one of the competing objective functions only. We give conditions which ensure asymptotic stability of the closed loop and, what is more, obtain performance estimates for all cost criteria. Numerical simulations on various instances illustrate our findings. The proposed algorithm requires the selection of an efficient solution in each iteration, thus we examine several selection rules and their impact on the results.

Further data

Item Type:

Preprint, postprint

Refereed:

Yes

Keywords:

Multiobjective Model Predictive Control; Multiobjective Optimal Control