摘要
This paper investigates the static output feedback secure control problem for discrete-time hidden Markov jump systems against replay attacks. The main purpose is to realise that closed-loopsystems are stochastically stable with or without replay attacks. Firstly, the tampered sensorsunder replay attacks can be identified via the proposed detection method. Then, an asynchronousstatic output feedback controller is designed, which can eliminate the negative impactcaused by replay attacks in view of the detection results. Based on the linear matrix inequalitytechnique, some sufficient conditions which ensure the closed-loop systems are stochasticallystable and meet a given H∞ performance are established. Finally, a numerical example and apractical example are given to verify the effectiveness and superiority of the proposed method.
基金
supported by the National Natural Science Foundation of China [grant number 62103005]
the Major NaturalScience Foundation of Higher Education Institutionsof Anhui Province [grant number KJ2020ZD28]
the MajorTechnologies Research and Development Special Program ofAnhui Province under Grant 202003a05020001
the NaturalScience Foundation of Anhui Provincial Natural ScienceFoundation [grant number 2108085QF276]
the Key researchand development projects of Anhui Province [grant number202104a05020015]
the Opening Project of Key Laboratoryof Power Electronics and Motion Control of Anhui HigherEducation Institutions [grant number OP14100135].