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${H_\infty }$ Consensus for Discrete-Time Fractional-Order Multi-Agent Systems With Disturbance via Q-Learning in Zero-Sum Games by Chunlan An; Housheng Su; Shiming Chen is a Computer Science article available to read on EtoBox.

What is ${H_\infty }$ Consensus for Discrete-Time Fractional-Order Multi-Agent Systems With Disturbance via Q-Learning in Zero-Sum Games about?

This paper investigates H 1 consensus problem for discrete-time fractional-order multi-agent systems (DTFOMASs) with external disturbance in both state and output feedback controls. Based on the short-memory principle, the original DTFOMASs are transformed into classical discrete-time systems. Then, two consensus protocols with finite-dimensional memory for state and output feedback are proposed. By using the Bellman equation approach and recursive least-squares, two Q-learning (QL) algorithms for two-player zero-sum games (ZSG) to H 1 control are presented to learn the optimal feedback gain matrices without any information from the system dynamics and network topology. Furthermore, the DTFOMASs with external disturbance can achieve H 1 state and output consensus under the two proposed protocols, respectively. In the end, two real scenarios of high-speed train running on the railway section of "Zhengzhou-Wuhan" are applied to check the validity of the proposed approaches.

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Author

Chunlan An; Housheng Su; Shiming Chen

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Published

2022

Language

EN

Field

Computer Science (Physical Sciences)