We present the Distributed and Localized Model Predictive Control (DLMPC) algorithm for large-scale structured linear systems, wherein only local state and model information needs to be exchanged between subsystems for the computation and implementation of control actions. We use the System Level Synthesis (SLS) framework to reformulate the MPC problem as an optimization problem over closed loop system responses, and show that this allows us to naturally impose localized communication constraints between sub-controllers, such that only local state and system model information needs to be exchanged for both computation and implementation of closed loop MPC control policies. In particular, we show that the structure of the resulting optimization problem can be exploited to develop an Alternating Direction Method of Multipliers (ADMM) based algorithm that allows for distributed and localized computation of control decisions. Moreover, our approach can accommodate constraints and objective functions that couple the behavior of different subsystems, so long as the coupled systems are able to communicate directly with each other, allowing for a broader class of MPC problems to be solved via distributed optimization. We conclude with numerical simulations to demonstrate the usefulness of our method, and in particular, we demonstrate that the computational complexity of the subproblems solved by each subsystem in DLMPC is independent of the size of the global system.
Synthesis of model predictive control based on data-driven learning
ENN Science & Technology Development Co.,Ltd（新奥科技发展有限公司）；Department of Automation, Shanghai Jiao Tong University（上海交通大学自动化系）；Key Laboratory of System Control and Information Processing, Ministry of Education of China（教育部系统控制与信息处理重点实验室）
A Systematic Review and Taxonomy of Reinforcement Learning-Model Predictive Control Integration for Linear Systems
Department of Electronics, Information and Bioengineering (DEIB), Politecnico di Milano（电子信息生物工程系（DEIB），米兰理工大学）；Department of Applied Mathematics, Ferdowsi University of Mashhad（应用数学系，法尔德大学）；Department of Mechanical Engineering, Politecnico di Milano（机械工程系，米兰理工大学）；Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan（应用数学系，加林大学）；Department of Robotics and Control Engineering, Shahrood University of Technology（机器人与控制工程系，沙霍德技术大学）
