Adaptive sliding mode control for discrete uncertain systems using matrix RLS algorithm

Znidi, Aicha; Dehri, Khadija; Nouri, Ahmed Saïd

doi:10.1109/sta.2014.7086761

Cited by 10 publications

(3 citation statements)

References 20 publications

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“…Inspired by this research area, we propose an adaptive discrete SMC method that combines the strengths of SMC with real-time adaptive adjustment. 23 In the following, two cases are considered.…”

Section: Discrete Asmcmentioning

confidence: 99%

Decentralized discrete adaptive sliding mode control for interconnected nonlinear systems

Znidi,

Dehri,

Nouri

2023

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article presents a study on controlling a class of large-scale systems composed of interconnected subsystems. The systems are represented by discrete block-oriented models with unknown parameters. This article proposes a novel adaptive sliding mode control strategy to address the tracking control problem and minimize the impact of interconnection. This approach leverages the robustness of sliding mode control against unmodeled dynamics and disturbances with the advantages of adaptive control. To adapt the system’s parameters, a recursive parametric estimation algorithm using least-squares techniques is employed. The proposed method offers benefits such as robustness against parameter uncertainties, handling of nonlinearities, improved tracking accuracy, and reduced chattering phenomena. The effectiveness of the method is demonstrated through the evaluation of two simulation examples.

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Section: Discrete Asmcmentioning

confidence: 99%

Decentralized discrete adaptive sliding mode control for interconnected nonlinear systems

Znidi,

Dehri,

Nouri

2023

Proceedings of the Institution of Mechanical Engineers, Part I:

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“…Several approaches have been developed in the literature to deal with uncertain input-output Hammerstein mathematical nonlinear system. One of the typical approaches is based on approximating the nonlinear system by a linear model around the origin (which is assumed to be one of the equilibrium points) using the first-order Taylor series expansion (Dehri et al, 2016;Utkin, 1992;Znidi et al, 2014Znidi et al, , 2015.…”

Section: Discrete Classical Smc For Input-output Linear Modelmentioning

confidence: 99%

“…Indeed, SMC has been widely investigated and extensively employed while dealing with uncertain nonlinear systems. The basic reason of this success is due to its attractive features, including the insensitivity to uncertainties, disturbance rejection, robustness and design simplicity (Utkin, 1992; Znidi et al, 2014).…”

Section: Introductionmentioning

confidence: 99%

Discrete indirect adaptive sliding mode control for uncertain Hammerstein nonlinear systems

Znidi

Dehri

Nouri

2022

Transactions of the Institute of Measurement and Control

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The robustness issue of uncertain nonlinear systems’ control has attracted the attention of numerous researchers. In this paper, we propose three techniques to deal with the uncertain Hammerstein nonlinear model. First, a discrete sliding mode control (SMC) is developed, which is based on converting the original nonlinear system into a linearized one in the vicinity of the operating region using Taylor series expansion. However, the presence of relatively high nonlinearities and parameter variations leads to the deterioration of the desired performances. In order to overcome these problems and to improve the performance of classical SMC, we propose two solutions. The first one is based on the synthesis of a discrete SMC, taking into account the presence of nonlinearity. The second solution is a new discrete adaptive SMC for input–output Hammerstein model. In order to show the effectiveness of the proposed controllers, a detailed robustness analysis is clearly developed. Simulation examples are reported at the end of the paper.

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A Discrete Terminal Neuro-Sliding Mode Control with Adaptive Switching Gain for an Uncertain Nonlinear System

Mohamed

Dehri

Elhajji

et al. 2021

Iran J Sci Technol Trans Electr Eng

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Adaptive sliding mode control for discrete uncertain systems using matrix RLS algorithm

Cited by 10 publications

References 20 publications

Decentralized discrete adaptive sliding mode control for interconnected nonlinear systems

Decentralized discrete adaptive sliding mode control for interconnected nonlinear systems

Discrete indirect adaptive sliding mode control for uncertain Hammerstein nonlinear systems

A Discrete Terminal Neuro-Sliding Mode Control with Adaptive Switching Gain for an Uncertain Nonlinear System

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