Multiplicative fault estimation-based adaptive sliding mode fault-tolerant control design for nonlinear systems
type: Item
instance of: scholarly article
title: Multiplicative fault estimation-based adaptive sliding mode fault-tolerant control design for nonlinear systems
zbMATH Open document ID: 1398.93055
DOI: 10.1155/2018/1462594
author: Ali Ben Brahim
author: Slim Dhahri
author: Fayçal Ben Hmida
author: Anis Sellami
published in: Complexity
publication date: 2018-09-27T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C42
zbMATH DE Number: 6944894
zbMATH Keywords: sliding mode fault-tolerant control (FTC)
zbMATH Keywords: nonlinear system
zbMATH Keywords: Takagi-Sugeno (T-S) fuzzy representation
zbMATH Keywords: robust stability
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/1462594
OpenAlex ID: W2811500037
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description: scientific article; zbMATH DE number 6944894