Finite-Time Sliding-Mode Control of Markovian Jump Cyber-Physical Systems Against Randomly Occurring Injection Attacks

• Published in: IEEE transactions on automatic control Vol. 65; no. 3; pp. 1264 - 1271
• Main Authors: Cao, Zhiru, Niu, Yugang, Song, Jun
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.03.2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Control systems design; Cyber-physical systems; Cybersecurity; Feedback control; Markovian jump cyber-physical systems (MJCPSs); Probabilistic logic; randomly occurring injection attacks; randomly occurring uncertainties; Scalars; Security; Sliding mode control; sliding-mode control (SMC); stochastic finite-time boundedness; Stochastic processes; Transient analysis; Uncertainty
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2019.2926156

This paper addresses a finite-time sliding-mode control problem for a class of Markovian jump cyber-physical systems. It is assumed that the control input signals transmitted via a communication network are vulnerable to cyber-attacks, in which the adversaries may inject false data in a probabilistic way into the control signals. Meanwhile, there may exist randomly occurring uncertainties and peak-bounded external disturbances. A suitable sliding mode controller is designed such that state trajectories are driven onto the specified sliding surface during a given finite-time (possibly short) interval. By introducing a partitioning strategy, the stochastic finite-time boundedness over the reaching phase and the sliding motion phase is analyzed, respectively. A key feature is that a set of mode-dependent sufficiently small scalars are introduced into some coupled Lyapunov inequalities such that the feasible solutions are easily obtained for the stochastic finite-time boundedness of the closed-loop systems. Finally, the practical system about a single-link robot-arm model is given to illustrate the present method.