Second Order Step by Step Sliding mode Observer for Fault Estimation in a Class of Nonlinear Fractional Order Systems

TL;DR

This paper introduces a second order sliding mode observer for fault estimation in nonlinear fractional order systems, ensuring finite-time convergence and demonstrating effectiveness through numerical example.

Contribution

The paper proposes a novel second order sliding mode observer specifically designed for nonlinear fractional order systems, with stability analysis and finite-time convergence guarantees.

Findings

Observer achieves finite-time convergence of estimation errors

Stability of the observer is proven using fractional inequalities

Numerical example confirms the effectiveness of the proposed method

Abstract

This paper considers fault estimation in nonlinear fractional order systems in observer form. For this aim, a step by step second order sliding mode observer is used. By means of a fractional inequality, the stability of the observer estimation errors is analyzed and some conditions are introduced to guarantee finite time convergence of estimation errors. Finally, in a numerical example, effectiveness of this observer is demonstrated.