Periodic Optimal Control, Dissipativity and MPC

Artikel i vetenskaplig tidskrift, 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.