Observer Design for Multi-Output Systems With Predefined-Time Convergence

Abstract

This letter introduces a novel methodology for designing a predefined-time observer for a class of multi-output nonlinear systems with uniform observability. Constructing predefined-time observers for multi-output systems presents a nontrivial extension from the single-output case, particularly when aiming for the error convergence. The predefined-time stability concept is used to devise an observer capable of estimating the system’s state of multi-output nonlinear systems within a predetermined time. The construction depends on utilizing saturated estimates that eliminate peaks and relaxes the local Lipschitz condition, thereby ultimately broadening the class for observer existence. Stability analysis of the proposed approach is carried out using the Lyapunov theorem. The comparative simulations of two numerical examples are presented to demonstrate the efficacy of the proposed approach.