Abstract

This paper is prepared within a collaboration between the Instituto Politécnico Nacional, which is a Mexican research institute that manages research on sliding-mode control theory, and the ARIA research team of the Intégration du Matériau au Système Lab., a French research group that engages research on model-based fault diagnosis and fault-tolerant control theories. The paper reviews the application of sliding mode control techniques to fault tolerant control and provides perspectives leading to posing some open problems. Operating principles, definitions of the basic concepts are recalled along with the control objectives and design procedures. The evolution of the sliding mode control technique through five generations (as classified by Fridman, Moreno and co-workers) is reviewed. Their respective design procedures, limitations, and robustness properties are also highlighted. The application of the five generations of sliding-mode controllers to fault-tolerant control is discussed. The focus is on some open problems that are judged to commonly be overlooked. Some applications in real-world systems are also presented.

Highlights

  • These tasks are generally carried out using a device that collects, centralizes, and processes all available relevant information through sensors and acquisition chains, in order to specify control actions to be applied to the system

  • Recent research in this field is dedicated to the proposal of a solution that considers reducing the chattering effect

  • This paper reviews the five generations of Sliding Mode Control (SMC) techniques, with the underlying goal to identify the techniques that can be used for Fault-Tolerant

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Summary

Context and Motivation

Control tasks and related methodologies have been of growing interest since the dawn of the 19th century, with the emergence of industrial production systems. SMC techniques for FTC, which are often ignored by many authors These open problems relate to: Automation 2021, 2, 1–30. The paper aims to demonstrate how SMC theory can be used to solve FTC problems. The goal is to demonstrate how these five generations of sliding mode control techniques can be used to solve FTC problems and introduce, with systematic mathematical justification, the three aforementioned open problems. To this end, the remainder of the paper proceeds as follows In Section 2, the genesis of sliding mode control theory is recalled.

The Genesis of Sliding Mode Control Theory
The Five Generations of SMC Techniques
Second-Order Sliding Mode Approaches
Twisting Algorithm TA
Terminal Sliding Mode TSM
Super-Twisting Algorithm STA
Variable Gain Super-Twisting Algorithm VGSTA
Generalized Super-Twisting Algorithm GSTA
Differentiator
Arbitrary-Order Sliding Mode Approaches
Arbitrary-Order Differentiator
A Few Remarks
Fault Tolerant Control and SMC Techniques
Architecture ofof active
SMC Techniques as a Potential Solution for FTC
Applications of SMC for FTC in Real-World Systems
Robot Manipulators
Marine Vehicles
Aeronautical Applications
Space Applications
Notable Facts
Conclusions

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