Recurrent Sliding Mode-Based State Observer Design for a Subset of Nonlinear Systems

This paper introduces a novel Sliding Mode-Based Observer tailored for a specific subset of nonlinear systems of order n featuring Lipschitz nonlinearities. The study establishes stability conditions that ensure convergence of the estimation error (s) in finite time until order n, thus, providing an accurate state (s) estimation without the necessity for disturbance matching conditions. Furthermore, the study presents an extension of the scope of application of the proposed method to tackle a unique scenario characterized by a time-varying and non-invertible function of the output dynamics of the system model. The effectiveness of the proposed observer is showcased through simulation examples.