Stabilization of random nonlinear systems subject to deception attacks

• Published in: International journal of robust and nonlinear control Vol. 32; no. 4; pp. 2233 - 2250
• Main Authors: Feng, Likang, Zhang, Weihai, Wu, Zhaojing
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 10.03.2022
• Subjects: Control systems design; Deception; deception attacks; Feedback control; Markov chain; Markov chains; mode‐dependent average impulsive interval; Network control; noise‐to‐state exponential stability; Nonlinear control; Nonlinear systems; random networked control nonlinear systems; Stabilization; System effectiveness; Unmanned ground vehicles
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.5944

In this article, the stabilization problem of a class of random networked control nonlinear systems suffering from deception attacks is considered. First, an appropriate attack model described by the random impulsive nonlinear system is developed, and the discrete dynamics have multiple random impulsive intensity, whose type is determined by a Markov chain. Second, the criteria of noise‐to‐state exponential stability in the mth moment are given for the general random impulsive nonlinear systems based on the (mode‐dependent) average impulsive interval. Third, a state‐feedback controller is designed to stabilize the random networked control nonlinear system under deception attacks on the basis of LMIs method. Finally, the feasibility of the proposed theoretical results is verified by the application to the stabilization problem of the network unmanned ground vehicle systems subject to deception attacks and the effectiveness is verified by the simulation results.