@article{Mueller:2014:10.1016/j.automatica.2014.10.059,
author = {Mueller, MA and Angeli, D and Allgoewer, F and Amrit, R and Rawlings, JB},
doi = {10.1016/j.automatica.2014.10.059},
journal = {Automatica},
pages = {3100--3111},
title = {Convergence in economic model predictive control with average constraints},
url = {http://dx.doi.org/10.1016/j.automatica.2014.10.059},
volume = {50},
year = {2014}
}

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TY  - JOUR
AB  - In this paper, we thoroughly investigate various aspects of economic model predictive control with average constraints, i.e., constraints on average values of state and input variables. In particular, we first show that a certain time-varying output constraint has to be included into the MPC problem formulation in order to ensure fulfillment of these average constraints. Optimizing a general (possibly economic) performance criterion may result in a non-converging behavior of the corresponding closed-loop system. While such a behavior might be acceptable in some cases, it may be undesirable for other types of applications. Hence as a second contribution, we provide a Lyapunov-like analysis to conclude that indeed asymptotic convergence to the optimal steady-state follows if the system satisfies a certain dissipativity condition. Finally, for the case that this dissipativity property is not satisfied but still a convergent behavior of the closed-loop is required, we examine two different methods how convergence can be enforced within an economic MPC setup by imposing additional average constraints on the system. In the first method, an additional average constraint is defined which results in the system being dissipative, while the second consists of imposing an additional even zero-moment average constraint. We illustrate our results with various examples.
AU  - Mueller,MA
AU  - Angeli,D
AU  - Allgoewer,F
AU  - Amrit,R
AU  - Rawlings,JB
DO  - 10.1016/j.automatica.2014.10.059
EP  - 3111
PY  - 2014///
SN  - 0005-1098
SP  - 3100
TI  - Convergence in economic model predictive control with average constraints
T2  - Automatica
UR  - http://dx.doi.org/10.1016/j.automatica.2014.10.059
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000347760100013&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://www.sciencedirect.com/science/article/pii/S0005109814004403
UR  - http://hdl.handle.net/10044/1/68798
VL  - 50
ER  - 

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