Extended-Dissipativity-Based Adaptive Event-Triggered Control for Stochastic Polynomial Fuzzy Singular Systems

This article deals with the extended-dissipativity-based adaptive event-triggered (AET) control problem for stochastic polynomial fuzzy singular systems (SPFSSs). The purpose of this work is to design a state-feedback controller through the AET mechanism, which not only makes the closed-loop system admissible and extended dissipative, but also saves the network resources. First, with a suitable Lyapunov–Krasovskii functional and an integral inequality in stochastic setting, an AET control criterion of SPFSSs considering asynchronous premise is established to ensure the mean-square admissibility and extended dissipativity of the closed-loop singular system. Additionally, a simple lemma is employed to approximate the nonconvex sum-of-squares (SOS) conditions with the convex SOS conditions due to the difficulty in solving the nonconvex SOS design conditions. Then, both the desired feedback controller gain and the event-triggered weighting polynomial matrix are codesigned based on the derived criterion. Finally, simulation examples are provided to illustrate the effectiveness of the proposed approaches.