Multi-level optimization control system and method based on Stackelberg-Nash differential game

Abstract

The invention provides a multi-level optimization control system and method based on a Stackelberg-Nash differential game, and the system comprises a multi-decision-maker robust control module, a Stackelberg-Nash differential game module, an event-driven generation module, an evaluation network learning module and a system construction module, the multi-decision-maker robust control module guarantees the robustness of the system through an ADP-based robust control method, and the multi-decision-maker robust control module guarantees the robustness of the system through an ADP-based robust control method. The Stackelberg-Nash differential game module describes a multi-level non-cooperative game behavior of a complex system by using a Stackelberg game model, designs cost functions of a leader and a follower, and uses the cost functions to update a control strategy, and the event-driven generation module designs event-driven conditions suitable for multiple decision makers, updates the control strategy when the driving conditions are violated, and generates a multi-level non-cooperative game. The evaluation network learning module trains an evaluation network and solves a solution of a coupling HJ equation under event driving to obtain an optimal control strategy, the system construction module applies the obtained optimal control strategy to a multi-level complex system containing multiple decision makers, and the multi-level optimization control system and method based on the Stackelberg-Nash differential game are formed.

Description

technical field [0001] The invention relates to the technical field of differential game and optimal control theory, in particular to the technical field of multi-level optimal control, in particular to a multi-level optimal control system and method based on Stackelberg-Nash differential game. Background technique [0002] In recent years, game theory has played an important role in simulating complex behaviors such as conflict, contradiction, cooperation, and coordination in real environments, and has been widely used in economics, computer science, and military strategy. Among them, differential game is a mathematical tool that describes the continuous dynamic competition or cooperation of two or more participants through differential equations. Because most systems in today's society, life, and industry have problems such as dynamic uncertainty and resource constraints, and these systems often contain multiple decision makers or multiple subsystems, there may be competit...

AI Technical Summary

Problems solved by technology

[0005] The present invention aims at a multi-level complex decision-making system with multiple decision makers, considering the influence of uncertain factors such as limited communication resources, changes in physical characteristics of control devices, modeling errors, and external disturbances, and provides a Stackelberg-Nash-based Multi-level optimal control system and method of differential game, solving multi-level optimal control problems of complex systems

Images