Robust distributed Nash equilibrium solution for multi‐agent differential graphical games-Reference-Cited by-同舟云学术

Robust distributed Nash equilibrium solution for multi‐agent differential graphical games

Published:2024-06-24 Issue: Volume: Page:
ISSN:1751-8644
Container-title:IET Control Theory & Applications
language:en
Short-container-title:IET Control Theory & Appl

Author:

Zhang Shouxu¹²³,Zhang Zhuo¹²³^ORCID,Cui Rongxin¹²³,Yan Weisheng¹²³^ORCID

Affiliation:

1. Research and Development Institute of Northwestern Polytechnical University in Shenzhen Shenzhen China

2. School of Marine Science and Technology Northwestern Polytechnical University Xi'an China

3. National Key Laboratory of Underwater Information and Control Xi'an China

Abstract

AbstractThis paper studies the differential graphical games for linear multi‐agent systems with modelling uncertainties. A robust optimal control policy that seeks the distributed Nash equilibrium solution and guarantees the leader‐following consensus is designed. The weighting matrices rely on modelling uncertainties, leading to the Nash equilibrium solution, and the solution can be obtained by solving a decoupled algebraic Riccati equation. Simulation studies are finally reported to illustrate the effectiveness of proposed policy.

Funder

National Natural Science Foundation of China

Basic and Applied Basic Research Foundation of Guangdong Province

Publisher

Institution of Engineering and Technology (IET)

Reference34 articles.

1. Recent Advances in Consensus of Multi-Agent Systems: A Brief Survey

2. Resilient Bipartite Consensus of Second-Order Multiagent Systems With Event-Triggered Communication

3. New Results on Sliding-Mode Control for Takagi–Sugeno Fuzzy Multiagent Systems

4. Distributed Control for Uncertain Multiagent Systems With the Powers of Positive-Odd Numbers: A Low-Complexity Design Approach

5. Event-based average consensus of disturbed MASs via fully distributed sliding mode control