Secure reachable set consensus and output-based memory sampled-data control for T-S fuzzy MASs against cyber attacks: Its application to ship steering autopilots

The presented work is concerned with secure reachable set performance and the output sampling delay control scheme for T-S fuzzy based multi-agent systems (TSFMASs) subject to external perturbations. To this end, the development of the controller mechanism prioritized the principal challenges of actuator faults and cyber attacks, which introduce sampling delays within the communication networks. Moreover, a fuzzy output sampled-data controller for TSFMASs that maintains reliable performance during actuator faults and cyber attacks, and enhances communication efficiency by minimizing network usage. To accomplish this, a new free-weight matrix integral inequality (FWMII) is introduced, accompanied by an enhanced Lyapunov functional. This proposed inequality is designed to reduce conservatism by effectively utilizing delay information. In the meantime, to further reduce conservatism, an improved two-sided looped-type Lyapunov functional (TSLTLF) is proposed, which incorporates the available information from the actual sampling pattern. Next, by employing the derived FWMII method, some sufficient conditions are established in terms of linear matrix inequality such that the augmented closed-loop systems achieves mean-square consensus within an ellipsoid region. The efficacy and superiority of the proposed method are demonstrated through simulations of a ship steering autopilot model.