Multiplicative Fault Estimation‐Based Adaptive Sliding Mode Fault‐Tolerant Control Design for Nonlinear Systems

Abstract

This article deals with the sliding mode fault-tolerant control (FTC) problem for a nonlinear system described under Takagi-Sugeno (T-S) fuzzy representation. In particular, the nonlinear system is corrupted with multiplicative actuator faults, process faults, and uncertainties. We start by constructing the separated FTC design to ensure robust stability of the closed-loop nonlinear system. First, we propose to conceive an adaptive observer in order to estimate nonlinear system states, as well as robust multiplicative fault estimation. The novelty of the proposed approach is that the observer gains are obtained by solving the multiobjective linear matrix inequality (LMI) optimization problem. Second, an adaptive sliding mode controller is suggested to offer a solution to stabilize the closed-loop system despite the occurrence of real fault effects. Compared with the separated FTC, this paper provides an integrated sliding mode FTC in order to achieve an optimal robustness interaction between observer and controller models. Thus, in a single-step LMI formulation, sufficient conditions are developed with multiobjective optimization performances to guarantee the stability of the closed-loop system. At last, nonlinear simulation results are given to illustrate the effectiveness of the proposed FTC to treat multiplicative faults.

Robust Finite-Time Tracking for Uncertain Linear Systems with Actuator Faults

“…Although the parameters are chosen by trial and error, there are still some rules to be referred to. e larger the adaptive gains Γ i and Λ i in (27) are, the more drastic the change of K xi is, which leads to stronger control effect. Similar phenomenon lies in (28)- (31).…”

“…On the contrary, adaptive FTC which is a kind of robust technique and a main class of active FTC has been widely used due to its exibility and diversity in design and its ability to handle unknown actuator faults without the need for FDD modules [16][17][18][19][20][21][22][23][24][25][26][27][28]. By considering that the stuck fault is bounded, a robust adaptive FTC scheme was proposed for uncertain linear systems in [16].…”

Simultaneous Multiplicative and Additive Actuator Faults Estimation‐Based Sliding Mode FTC for a Class of Uncertain Nonlinear System

“…Several publications have appeared in recent years regarding this issue. In [10], the authors studied Takagi-Sugeno fuzzy systems with uncertainties and multiplicative and additive actuator faults and then developed an adaptive sliding mode FTC design. However, in [11], a FTC design predicated using SMO for T-S fuzzy systems is developed.…”

Mixed H₂/H_∞ robust controllers in aircraft control problem

“…A high accuracy in determining motion parameters and controlling the aircraft is an essential requirement for modern control system design [1]- [8]. This emergence necessitates considering various uncertainty factors during the development phase of appropriate control algorithms.…”