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Periodic Optimal Control, Dissipativity and MPC

Mario Zanon (Institutionen för signaler och system, Mekatronik) ; L. Grune ; M. Diehl
Ieee Transactions on Automatic Control (0018-9286). Vol. 62 (2017), 6, p. 2943-2949.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Periodic economic MPC; strict dissipativity



Denna post skapades 2017-07-14.
CPL Pubid: 250706

 

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Institutioner (Chalmers)

Institutionen för signaler och system, Mekatronik (2005-2017)

Ämnesområden

Inbäddad systemteknik

Chalmers infrastruktur