TY - JOUR

T1 - Approximate dissipativity of cost-interconnected systems in distributed economic MPC

AU - Kohler, Philipp N.

AU - Muller, Matthias A.

AU - Allgower, Frank

N1 - Funding information: The authors thankfully acknowledge funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under grants AL 316/11-2 - 244600449 and under Germany’s Excellence Strategy - EXC 2075 - 390740016.

PY - 2022/5/6

Y1 - 2022/5/6

N2 - We consider dissipativity properties of interconnected systems in the context of distributed economic model predictive control (MPC), with the subsystems being interconnected through their stage cost functions. The isolated subsystems, i.e., when neglecting the coupled portion of the individual stage costs, are assumed to be dissipative with respect to a specific supply rate related to their local stage cost function, which is commonly used in an economic MPC context. Based on these local dissipativity properties and the interconnection structure, a corresponding (approximate) dissipativity property for the overall system is inferred, which is structured and provides performance bounds for overall system operation. The resulting structured dissipativity property is exploited in the design and analysis of a distributed economic MPC algorithm. Numerical examples visualize the theoretical findings and the effectiveness of the proposed algorithm.

AB - We consider dissipativity properties of interconnected systems in the context of distributed economic model predictive control (MPC), with the subsystems being interconnected through their stage cost functions. The isolated subsystems, i.e., when neglecting the coupled portion of the individual stage costs, are assumed to be dissipative with respect to a specific supply rate related to their local stage cost function, which is commonly used in an economic MPC context. Based on these local dissipativity properties and the interconnection structure, a corresponding (approximate) dissipativity property for the overall system is inferred, which is structured and provides performance bounds for overall system operation. The resulting structured dissipativity property is exploited in the design and analysis of a distributed economic MPC algorithm. Numerical examples visualize the theoretical findings and the effectiveness of the proposed algorithm.

KW - Cost function

KW - Costs

KW - Couplings

KW - dissipativity

KW - distributed control

KW - Economic model predictive control

KW - largescale systems

KW - multi-agent systems

KW - Nonlinear dynamical systems

KW - Predictive control

KW - Steady-state

KW - Symmetric matrices

KW - Dissipativity

KW - economic model predictive control

KW - large-scale systems

KW - multiagent systems

UR - http://www.scopus.com/inward/record.url?scp=85132518704&partnerID=8YFLogxK

U2 - 10.1109/TAC.2022.3173028

DO - 10.1109/TAC.2022.3173028

M3 - Article

AN - SCOPUS:85132518704

VL - 68

SP - 2170

EP - 2182

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 4

ER -