A novel approach for event-triggered state-estimation of one-sided Lipschitz systems for efficient bandwidth utilization

Abstract

This paper proposes a robust event-triggered observer design scheme for the systems fulfilling the one-sided Lipschitz and quadratic inner-boundedness conditions. The suggested observer scheme differs from the traditional methods because it deals with a less conservative and a more generalized class of nonlinear systems while utilizing fewer resources and meeting performance requirements. In contrast to the conventional Lipschitz methods, the proposed method considers a broader class of OSL systems, and it can avoid a high-gain observer, which can be sensitive to the measurement noise. The proposed linear matrix inequalities-based observer design guarantees the uniformly ultimately bounded convergence of the observation error with an exponential decay under disturbances. Also, several scenarios selecting a threshold for event-triggering schemes from an observer design perspective are addressed along with their advantages and issues. Simulation results are provided to validate the established results.