An adaptive torus‐event‐based ℋ∞ controller design for networked T‐S fuzzy systems under deception attacks

This article addresses the adaptive torus‐event‐based ℋ∞ control problem for a class of networked Takagi‐Sugeno (T‐S) fuzzy systems under deception attacks. Due to the inherent openness of the network, the inevitable deception attacks in the networked T‐S fuzzy systems always appear randomly. The occurrence of deception attacks is successfully described by using a binary stochastic variable with known statistical characteristics. Under the considered adaptive torus‐event‐based communication mechanism, ℋ∞ fuzzy controllers are constructed to guarantee the asymptotically mean‐square stability (AMSS) and the ℋ∞ index of the networked T‐S fuzzy systems under deception attacks. To design the desired ℋ∞ fuzzy controllers, a unified framework of the networked T‐S fuzzy systems is first established via the adaptive torus‐event‐based communication mechanism, the mathematical model of deception attacks, and the asynchronous premise technology. By utilizing the extended Lyapunov function, the sufficient conditions are simultaneously derived to address the AMSS and the disturbance suppression issues of closed‐loop control systems. Subsequently, the adaptive torus‐event‐based ℋ∞ fuzzy controller gains are calculated via linear matrix inequalities. Finally, a simulation example concerning the tunnel circuit system is established to verify the availability and reliability of the proposed control mechanism.