Torus-Event-Based Sliding Mode Control for Networked Interval Type-2 Fuzzy Systems Under Deception Attacks

Article Torus-Event-Based Sliding Mode Control for Networked Interval Type-2 Fuzzy Systems Under Deception Attacks Xingwang Liu 1, Zhi Ling 2,*, and Yang Zhang 2 1 College of Electrical and Power Engineering, Taiyuan University of Technology, Taiyuan 030024, China 2 School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China * Correspondence: [email protected] Received: 21 November 2023 Accepted: 29 June 2024 Published: 25 March 2025 Abstract: In this paper, the security control problem is investigated for the discrete networked interval type-2 (IT2) fuzzy system under limited communication resources. A torus-event-triggering protocol is developed via two thresholds to regulate the transmission of data, ensuring avoiding the transmission of abnormal data. The deception attacks considered are assumed to have the ability of injecting false information into the data transmitted between sensor and controller. By constructing the new membership functions, a security sliding mode controller is proposed and the theoretical analysis proves that the stochastic stability of the closed-loop system and the reachability of the prescribed sliding surface can be guaranteed. Finally, an illustrative numerical example is proposed to demonstrate the effectiveness of the proposed control strategy.