Non-fragile Proportional Integral Control Strategy via AETM for T–S Fuzzy Power System with Reaction–Diffusion and Controller Failure

This paper proposes a Takagi–Sugeno (T–S) fuzzy power system with reaction–diffusion and controller failure based on a non-fragile proportional integral (NFPI) control strategy with an adaptive event-triggering mechanism (AETM). Firstly, a unified fuzzy load frequency control (LFC) model is established by analysing the nonlinear characteristics and the influence of reaction–diffusion. Secondly, an AETM is proposed to reduce communication bandwidth utilization by introducing dynamic threshold parameters. In addition, a more applicative controller is proposed that considers both controller presence fluctuations and controller failure. Furthermore, we introduce a new free matrix which helps us to establish some less conservative sufficient conditions for stability asymptotic stability. Finally, numerical examples are provided to showcase the effectiveness of the controller design under the influence of reaction–diffusion and the AETM in saving communications resources.