Finite-time Boundedness of T-S Fuzzy Systems Subject to Injection Attacks: A Sliding Mode Control Method⁎This work was supported in part by the National Natural Science Foundation of China under Grant (61903143, 61773162). Issue 2 (2020)

• Record Type: Journal Article
• Authors: Zhang, Zhina; Song, Jun; Zou, Yuanyuan; Niu, Yugang
• Is Part Of: IFAC-PapersOnLine. Volume 53:Issue 2(2020)
• Page Start: 5075
• Page End: 5080
• Publication Date: 2020
• Subjects: T-S fuzzy system -- sliding mode control -- finite-time boundedness -- partitioning strategy -- injection attacks; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2020.12.1118
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This paper studies the sliding mode control for T-S fuzzy systems in the framework of finite-time boundedness. It is assumed that the control signals are transmitted via vulnerable channels, where injection attacks might happen. A fuzzy sliding mode controller is firstly synthesized to guarantee the finite-time reachability of the prescribed sliding surface and attenuate the effect of the injection attacks. By introducing a partitioning strategy, the finite-time boundedness over both the reaching phase and the sliding motion phase are analyzed. Furthermore, sufficient criteria are derived such that the closed-loop system is finite-time bounded over the whole specified finite-time interval despite of the injection attacks. An optimal algorithm is further provided for searching ideal control gains with fewer energy demands. Finally, a simulation example verifies the proposed sliding mode control approach.