Adaptive fuzzy synergetic control of nonlinear systems with unknown backlash-like hysteresis

Rebai, Aissa; Guesmi, Kamel; Gozim, Djamal; Hemici, Boualem

doi:10.1109/icstcc.2015.7321295

Cited by 3 publications

(6 citation statements)

References 40 publications

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“…To reduce the complexity of the expression (4), the term ρ ( u ) is approximated in Rebai et al (2015a, 2015b, 2016) by a bounded piecewise constant function that takes only two values. However, this approximation does not represent adequately this term.…”

Section: Problem Statementmentioning

confidence: 99%

“…In this paper, fuzzy logic system is used to enhance the approximation of this term. Compared with previous results in Rebai et al (2015a, 2015b, 2016), the features of the proposed design are listed as follows:…”

Section: Problem Statementmentioning

confidence: 99%

“…In Rebai et al (2016, 2015a, 2015b), the term ρ ( u ) is represented by a bounded piecewise constant function equal to sgn ( u · ) B − c α . Due to the virtue of simplicity of fuzzy logic system, their flexibility and efficiency in modeling of nonlinear complex systems, we propose to use it to estimate the term ρ ( u ) .…”

Section: Problem Statementmentioning

confidence: 99%

“…In Rebai et al (2015a, 2016), the uncertainties and external disturbances are not considered. In this paper, the adaptive fuzzy controller is designed for nonlinear systems subject to parametric uncertainties and external disturbances.…”

Section: Problem Statementmentioning

confidence: 99%

“…The developed controller ensures that all signals of the closed loop system are bounded and forces the tracking error to drop asymptotically to zero. The key contributions of this work are: (i) a systematical approach to control a class of non-linear hysteretic systems; (ii) fuzzy logic systems to estimate the unknown terms of the model and hence to improve its accuracy instead of using piecewise constant functions as in Rebai et al (2016, 2015a, 2015b); and (iii) a proportional integral control term to attenuate the chattering phenomenon and to improve the controller performances.…”

Section: Introductionmentioning

confidence: 99%

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Robust adaptive fuzzy sliding mode controller for nonlinear uncertain hysteretic systems

Rebai

Guesmi

2020

Transactions of the Institute of Measurement and Control

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This paper deals with the problem of adaptive fuzzy control for a class of nonlinear uncertain systems with hysteresis input. Fuzzy logic systems are employed to approximate the unknown nonlinear behaviors, and the sliding mode technique is used to synthesize an adaptive fuzzy controller. A proportional integral control term is adopted to reduce the chattering phenomenon engendered by both sliding mode control technique and hysteretic characteristic of the system. The proposed control scheme ensures the boundedness of all closed-loop signals, and forces the tracking error to converge to zero. The main contribution of this work is the development of a control strategy for a class of nonlinear hysteretic systems subject to external disturbances and uncertainties. Two case studies are given to illustrate and to prove the effectiveness of the presented approach.

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