%0 Journal Article
%@ 0018-9286
%A Zanon, Mario
%A Grune, Lars
%A Diehl, Moritz
%D 2017
%F eprints:4006
%I IEEE
%J IEEE Transactions on Automatic Control
%N 6
%P 2943-2949
%T Periodic Optimal Control, Dissipativity and MPC
%U http://eprints.imtlucca.it/4006/
%V 62
%X Recent research has established the importance of (strict) dissipativity for proving stability of economic MPC in the case of an optimal steady state. In many 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.