Periodic Optimal Control, Dissipativity and MPC
Journal article, 2017

Recent research has established the importance of (strict) dissipativity for proving stability of economic MPC in the case of an optimal steady state. Inmany cases, though, steady-state operation is not economically optimal and periodic operation of the system yields a better performance. In this technical note, we propose ways of extending the notion of (strict) dissipativity for periodic systems. We prove that optimal P-periodic operation and MPC stability directly follow, similarly to the steady-state case, which can be seen as a special case of the proposed framework. Finally, we illustrate the theoretical results with several simple examples.

strict dissipativity

Periodic economic MPC

Author

Mario Zanon

Chalmers, Signals and Systems, Systems and control, Mechatronics

L. Grune

University of Bayreuth

M. Diehl

University of Freiburg

KU Leuven

IEEE Transactions on Automatic Control

0018-9286 (ISSN)

Vol. 62 6 2943-2949

Subject Categories

Embedded Systems

DOI

10.1109/tac.2016.2601881

More information

Latest update

5/29/2018