Robust State Estimation for Fractional-Order Nonlinear Uncertain Systems via Adaptive Event-Triggered Communication Scheme

This paper is concerned with the adaptive event-triggered robust state estimation for a class of fractional-order nonlinear uncertain systems, where the fractional order satisfies 0 <; α <; 1. To save bandwidth resources effectively, an adaptive event-triggered scheme (AETS) is proposed to judge whether the measurement output of the sensor needs to be released to the estimator or not. Firstly, by taking the AETS into consideration, a novel fractional-order estimation error model is established. Then, based on this system model, a sufficient condition that can ensure the robust mean-square stability of the estimation error system has been derived by utilizing the Lyapunov functional approach and some properties of Mittag-Leffler functions. Meanwhile, by applying matrix's singular value decomposition (SVD) technique, the design of the state estimator has been solved in terms of solving the solution of linear matrix inequality (LMI). Finally, one provides a numerical example to verify the feasibility of the proposed method.