학술논문

Approximate Dissipativity of Cost-Interconnected Systems in Distributed Economic MPC
Document Type
Periodical
Source
IEEE Transactions on Automatic Control IEEE Trans. Automat. Contr. Automatic Control, IEEE Transactions on. 68(4):2170-2182 Apr, 2023
Subject
Signal Processing and Analysis
Costs
Cost function
Couplings
Symmetric matrices
Steady-state
Predictive control
Nonlinear dynamical systems
Dissipativity
distributed control
economic model predictive control
large-scale systems
multiagent systems
Language
ISSN
0018-9286
1558-2523
2334-3303
Abstract
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.