A Finite-Dimensional Control Scheme for Fractional-Order Systems under Denial-of-Service Attacks

Author:

Zou Ying1,Li Xinyao2ORCID,Deng Chao3,Wu Xiaowen1

Affiliation:

1. School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, China

2. School of Automation, Guangdong Polytechnic Normal University, Guangzhou 510450, China

3. Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing 210023, China

Abstract

In this article, the security control problem of discrete-time fractional-order networked systems under denial-of-service (DoS) attacks is considered. A practically applicable finite-dimensional control strategy will be developed for fractional-order systems that possess nonlocal characteristics. By employing the Lyapunov method, it is theoretically proved that under the proposed controller, the obtained closed-loop fractional system is globally input-to-state stable (ISS), even in the presence of DoS attacks. Finally, the effectiveness of the designed control method is demonstrated by the numerical example.

Funder

National Natural Science Foundation of China

Scientific Research Fund of Hunan Provincial Education Department

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

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