학술논문

Distributed Inverse Optimal Control for Discrete-Time Nonlinear Multi-Agent Systems
Document Type
Periodical
Source
IEEE Control Systems Letters IEEE Control Syst. Lett. Control Systems Letters, IEEE. 5(6):2096-2101 Dec, 2021
Subject
Robotics and Control Systems
Computing and Processing
Components, Circuits, Devices and Systems
Optimal control
Optimization
Multi-agent systems
Heuristic algorithms
Topology
Games
Linear programming
Cooperative control
distributed control
game theory
robust control
stability of nonlinear systems
Language
ISSN
2475-1456
Abstract
This letter describes a robust distributed inverse optimal control framework for a multi-agent discrete-time nonlinear system, where the dynamics of each agent is directly affected by terms that depend on the state and input of the neighborhood agents and other disturbance signals. The individual local cost is formulated and a control solution for each agent is derived considering an inverse optimal control approach. To address the interaction between the agents, a coordination method based on a non-cooperative game is proposed. Using Lyapunov and Input-to-State Stability (ISS) arguments, we derive conditions under which the proposed game converges to a fixed point and the overall multi-agent system is ISS with respect to the disturbance signals. Simulation results for a coupled pendula system are presented.