Membership‐function‐dependent security control for networked T‐S fuzzy‐model‐based systems against DoS attacks

Abstract

Abstract This paper focuses on the observer‐based resilient event‐triggered security control issue for networked T‐S fuzzy‐model‐based systems suffered from energy‐limited Denial‐of‐Service (DoS) attacks. Firstly, a novel resilient adaptive event‐triggered mechanism (AETM) is designed to deal with the packet losses problem induced by energy‐limited DoS attacks. Specifically, the resilient AETM threshold is adaptively updated based on the latest available packages. Secondly, according to Lyapunov theory, membership‐function‐dependent stabilisation criterions are obtained to ensure the control systems are stable with H∞ performance. Besides, the mismatched premise variables between model and controller are considered, and a slack matrix with the membership functions information is introduced to relax stability conditions. Then, the relationship between allowable duration of DoS attack and resilient AETM parameter is clarified. An algorithm is also presented to derive the resilient AETM parameter and observer‐based controller gains simultaneously. Finally, two examples are provided to demonstrate the effectiveness of the proposed method.

Keywords

• Algebra
• Combinatorial mathematics
• Control system analysis and synthesis methods
• Stability in control theory
• Fuzzy control
• Nonlinear control systems