A New Super-Twisting Algorithm-Based Sliding Mode Observer Design for Fault Estimation in a Class of Nonlinear Fractional Order Systems

TL;DR

This paper introduces a novel sliding mode observer based on a super-twisting algorithm for fault estimation in nonlinear fractional order systems, achieving finite-time convergence and reducing chattering.

Contribution

It proposes a new observer structure utilizing fractional super twisting algorithm, addressing chattering issues and demonstrating effectiveness through numerical examples.

Findings

Finite-time convergence of the observer error

Effective fault estimation in nonlinear fractional systems

Reduced chattering compared to existing methods

Abstract

This paper is concerned with fault estimation in a class of nonlinear fractional order systems using a new super twisting algorithm based second order step by step sliding mode observer. Since the existing sliding mode observers are troubled with the chattering phenomenon, here a new observer structure is proposed and finite time convergence of error dynamics is proved using fractional order super twisting algorithm (FSTA). Two numerical examples of chaotic fractional order systems and a comparison with respect to a similar observer justify the effectiveness of the proposed observer