Sliding Mode Control for Discrete-Time Systems with Randomly Occurring Uncertainties and Nonlinearities Under Hybrid Cyber Attacks

This paper investigates the problem of sliding mode control (SMC) for a class of discrete-time stochastic systems subject to hybrid cyber attacks. Both stochastic nonlinearities and norm-bounded parameter uncertainties are introduced into the system, which occur according to mutually independent Ber...

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Bibliographic Details
Published in:Circuits, systems, and signal processing systems, and signal processing, 2021-12, Vol.40 (12), p.5864-5885
Main Authors: Cao, Jianming, Zhou, Jingfeng, Chen, Jing, Hu, Aihua, Hu, Manfeng
Format: Article
Language:English
Subjects:
Circuits and Systems
Cybersecurity
Deception
Denial of service attacks
Discrete time systems
Electrical Engineering
Electronics and Microelectronics
Engineering
Hybrid systems
Instrumentation
Nonlinearity
Parameter uncertainty
Random variables
Sequences
Signal processing
Signal,Image and Speech Processing
Sliding mode control
Stochastic systems
Systems stability
White noise
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Summary:This paper investigates the problem of sliding mode control (SMC) for a class of discrete-time stochastic systems subject to hybrid cyber attacks. Both stochastic nonlinearities and norm-bounded parameter uncertainties are introduced into the system, which occur according to mutually independent Bernoulli-distributed white noise sequences. Moreover, hybrid cyber attacks consisting of denial-of-service attack and deception attack are considered in the transmission channel. By employing the Lyapunov stability theory, sufficient conditions are established for guaranteeing the stability of the state trajectory in the specified sliding surface. Meanwhile, an SMC law is given to ensure the reachability of the specified sliding surface. Finally, a simulation example is put forward to verify the effectiveness of the proposed theoretical results.
ISSN:0278-081X
1531-5878
DOI:10.1007/s00034-021-01744-3