Security control for Markovian jump systems under fading channel: A finite‐time sliding‐mode method

• Published in: International journal of robust and nonlinear control Vol. 33; no. 10; pp. 5289 - 5304
• Main Authors: Zhao, Meng, Cao, Zhiru, Yang, Yekai, Niu, Yugang
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 10.07.2023
• Subjects: channel fading; Deception; deception attacks; Fading; finite‐time boundedness; Independent variables; Markovian jump systems; Mathematical models; Random variables; Security; Sliding mode control
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.6642

The finite‐time sliding mode control (SMC) design is developed in this work for Markovian jump systems with peak‐bounded external disturbances, where the system state may suffer from the channel fading and deception attacks over the sensor‐to‐controller channel. The multiplicative fading model is introduced to describe the fading phenomenon in the unpredictable communication network, and the channel coefficients are mutually independent random variables that take values in certain intervals. Besides, the deception attacks on the transmitted state signals may be stochastically launched. Under the effect of channel fading and deception attacks, a sliding surface involving fading parameter is devised, and a security finite‐time SMC law is designed to achieve the finite‐time reachability of the specified sliding surface. Furthermore, by adopting the partitioning strategy during the reaching phase and sliding phase of SMC design, the derived sufficient criteria can achieve the stochastic finite‐time boundedness. Finally, the numerical simulation results are provided to illustrate the developed finite‐time SMC approach under the fading communication and malicious attacks.