English

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

Optimization and Control 2017-06-13 v2
Authors: Seyed Mohammad Moein Mousavi , Amin Ramezani
View on arXiv ↗ PDF ↗

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.

Keywords

fault estimation nonlinear fractional order systems sliding mode observer finite time convergence observer error stability

Cite

@article{arxiv.1706.01737,
  title  = {Second Order Step by Step Sliding mode Observer for Fault Estimation in a Class of Nonlinear Fractional Order Systems},
  author = {Seyed Mohammad Moein Mousavi and Amin Ramezani},
  journal= {arXiv preprint arXiv:1706.01737},
  year   = {2017}
}

Related papers

View all related →
Optimization and Control · Mathematics
A New Super-Twisting Algorithm-Based Sliding Mode Observer Design for Fault Estimation in a Class of Nonlinear Fractional Order Systems
Seyed Mohammad Moein Mousavi, Amin Ramezani, HamidReza Momeni
2018-06-27
Optimization and Control · Mathematics
Non-Uniform Stability, Detectability, and, Sliding Mode Observer Design for Time Varying Systems with Unknown Inputs
Markus Tranninger, Sergiy Zhuk, Martin Steinberger, Leonid Fridman +1
2018-09-19
Systems and Control · Electrical Eng. & Systems
Higher-order sliding mode observer design for linear time-invariant multivariable systems based on a new observer normal form
Helmut Niederwieser, Markus Tranninger, Richard Seeber, Markus Reichhartinger
2022-04-08
Systems and Control · Computer Science
A Parameter Estimation Approach to State Observation of Nonlinear Systems
Ortega Romeo, Bobtsov Alexey, Pyrkin Anton, Aranovskiy Stanislav
2016-04-08
Optimization and Control · Mathematics
Sliding Mode Observers for Set-valued Lur'e Systems with Uncertainties Beyond Observational Range
Samir Adly, Jun Huang, Ba Khiet Le
2024-04-26
Systems and Control · Electrical Eng. & Systems
Multi-discontinuous Functional based Sliding Mode Cascade Observer for Estimation and Closed-loop Compensation Controller
Yiyong Sun, Zhang Chen, Guang Zhai, Bin Liang
2023-10-27
Optimization and Control · Mathematics
A Rapid Fault Reconstruction Strategy Using a Bank of Sliding Mode Observers
Mehran Shakarami, Kasra Esfandiari, Amir Aboulfazl Suratgar, Heidar Ali Talebi
2019-04-25
Systems and Control · Electrical Eng. & Systems
Functional Observers with Linear Error Dynamics for Nonlinear Systems
Costas Kravaris, Sunjeev Venkateswaran
2021-09-15
Systems and Control · Electrical Eng. & Systems
Functional observers with linear error dynamics for discrete-time nonlinear systems, with application to fault diagnosis
Sunjeev Venkateswaran, Benjamin A. Wilhite, Costas Kravaris
2021-10-19
Systems and Control · Computer Science
Online Output-Feedback Parameter and State Estimation for Second Order Linear Systems
Rushikesh Kamalapurkar
2017-07-25
Systems and Control · Electrical Eng. & Systems
A Symmetry-Preserving Reduced-Order Observer
Jeremy W. Hopwood, Craig A. Woolsey
2025-08-29
Optimization and Control · Mathematics
Cubic Observers for a Class of Nonlinear Systems with Input and output delays
Mohammad Mahdi Share Pasand
2019-12-24
Optimization and Control · Mathematics
Synthesizing the Optimal Luenberger-type Observer for Nonlinear Systems
Shankar Mohan, Jinsun Liu, Ram Vasudevan
2017-03-23
Systems and Control · Electrical Eng. & Systems
Detectability Conditions and State Estimation for Linear Time-Varying and Nonlinear Systems
Markus Tranninger, Richard Seeber, Martin Steinberger, Martin Horn +1
2022-09-20
Systems and Control · Electrical Eng. & Systems
Fuzzy-based Higher Adaptive Order Sliding Mode Observers
Mohamed Camil Belhadjoudja
2021-08-03
Systems and Control · Electrical Eng. & Systems
A Data-Integrated Framework for Learning Fractional-Order Nonlinear Dynamical Systems
Bahram Yaghooti, Chengyu Li, Bruno Sinopoli
2025-06-19
Systems and Control · Electrical Eng. & Systems
Non-Asymptotic State and Disturbance Estimation for a Class of Triangular Nonlinear Systems using Modulating Functions
Yasmine Marani, Ibrahima N'Doye, Taous-Meriem Laleg-Kirati
2023-06-14
Robotics · Computer Science
Sensor Fault Detection and Compensation with Performance Prescription for Robotic Manipulators
S. Mohammadreza Ebrahimi, Farid Norouzi, Hossein Dastres, Reza Faieghi +2
2024-03-20
Optimization and Control · Mathematics
Adaptive High Order Sliding Mode Observer Based Fault Reconstruction for a Class of Nonlinear Uncertain Systems: Application to PEM Fuel Cell System
Jianxing Liu, Salah Laghrouche, Maxime Wack
2013-03-26
Systems and Control · Computer Science
Higher-Order Nonlinear Complementary Filtering on Lie Groups
David Evan Zlotnik, James Richard Forbes
2018-04-10
Systems and Control · Computer Science
Adaptive-Gain Second Order Sliding Mode Observer Design for Switching Power Converters
Jianxing Liu, Salah Laghrouche, M. Harmouche, Maxime Wack
2013-05-31
Systems and Control · Electrical Eng. & Systems
On Functional Observability of Nonlinear Systems and the Design of Functional Observers with Assignable Error Dynamics
Costas Kravaris
2025-01-03
Systems and Control · Computer Science
Observer design for position and velocity bias estimation from a single direction output
Florent Le Bras, Tarek Hamel, Robert Mahony, Claude Samson
2015-03-27
Systems and Control · Electrical Eng. & Systems
Robust asymptotic observer of motion states with nonlinear friction
Michael Ruderman
2023-05-26
Optimization and Control · Mathematics
Observability and State Estimation for a Class of Nonlinear Systems
John Tsinias, Constantinos Kitsos
2018-06-07