Tracking Differentiator-Based Adaptive Fault-Tolerant Control for Stochastic Nonlinear Systems

Yanli Liu,Hongjun Ma

doi:10.1109/access.2020.2987135

Abstract

By incorporating a tracking differentiator (TD) design into the traditional adaptive backstepping technique, a novel adaptive fault-tolerant control (FTC) scheme is proposed for a family of stochastic nonlinear systems in the presence of multiplicative, additive and stuck actuator faults in this paper. It is shown that under the constructed controller, the boundedness of the closed-loop signals in probability is ensured, and the convergence of the system output to the desired tracking signal is achieved well, whereas the problem of ”explosion of term” is also compensated. In the end, two simulation examples are included to demonstrate the effectiveness of the proposed FTC scheme.

Highlights

Most modern control systems are run under various limited circumstances, such as actuator faults and/or sensor faults
Ma: tracking differentiator (TD)-Based Adaptive fault tolerant control (FTC) for Stochastic Nonlinear Systems introduced, and it has been utilized into the adaptive control problem of the flexible air-breathing hypersonic vehicle, and a number of results have been produced [45]–[47]
With compared to the existing literature, our design has the following features: 1) three classes of actuator faults are taken into account simultaneously for the stochastic nonlinear systems, which is more general and complex; 2) the tracking differentiator (TD) and the compensating signals are combined to solve the problem of ’’explosion of complexity ’’; 3) an adaptive controller is constructed to make up for the effects of failures on the controlled system and a good control performance is obtained

Summary

INTRODUCTION

Most modern control systems are run under various limited circumstances, such as actuator faults and/or sensor faults. Ma: TD-Based Adaptive FTC for Stochastic Nonlinear Systems introduced, and it has been utilized into the adaptive control problem of the flexible air-breathing hypersonic vehicle, and a number of results have been produced [45]–[47]. With compared to the existing literature, our design has the following features: 1) three classes of actuator faults are taken into account simultaneously for the stochastic nonlinear systems, which is more general and complex; 2) the tracking differentiator (TD) and the compensating signals are combined to solve the problem of ’’explosion of complexity ’’; 3) an adaptive controller is constructed to make up for the effects of failures on the controlled system and a good control performance is obtained.

PRELIMINARIES AND PROBLEM FORMULATION

SIMULATION EXAMPLE

CONCLUSION