Approximate Dissipativity of Cost-Interconnected Systems in Distributed Economic MPC

• 成果类型: Article
• 署名作者: Koehler, Philipp N.; Mueller, Matthias A.; Allgoewer, Frank
• 署名单位: University of Stuttgart; Leibniz University Hannover
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3173028
• 发表日期: 2023
• 页码: 2170-2182
• 关键词: 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

摘要

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.