Nonlinear Control of the Web Winding System by Backstepping with Integral Action

Akil, Abdelmajid; Zegrari, Mourad; Rabbah, Nabila

doi:10.1007/978-3-030-05276-8_7

Cited by 4 publications

(2 citation statements)

References 6 publications

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“…where the gain parameters λ and α are necessary to satisfy a certain condition in order to guarantee the stability of the system (5).…”

Section: B Tensions Observersmentioning

confidence: 99%

See 1 more Smart Citation

Improved Control of the Web Winding System Based on a Super-Twisting Observer

Akil¹,

Touati²,

Zegrari³

et al. 2019

IJRTE

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The web winding system (WWS) presents a difficult problem at the level of control because of the strong nonlinearities of the models and the effects of internal or external disturbances. To improve the dynamic performance and robustness of the control of WWS, a robust control method based on the first and second order sliding mode algorithm is proposed in this work. The stability of the controllers is proved by the theory of Lyapunov stability using an appropriate switching function. In addition, an observer of super twisting tensions is suggested. The developed method allows a direct estimate "on line" of the tension. Finally, computer simulations are developed to show the performance of the sliding mode control and the proposed nonlinear observer.

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“…where the gain parameters λ and α are necessary to satisfy a certain condition in order to guarantee the stability of the system (5).…”

Section: B Tensions Observersmentioning

confidence: 99%

“…One of the recent advances in nonlinear control theory is the introduction of adaptive backstepping algorithms to control the WWS [3][4] and nonlinear control by backstepping with integral action introduced in [5].…”

Section: Introductionmentioning

confidence: 99%

Improved Control of the Web Winding System Based on a Super-Twisting Observer

Akil¹,

Touati²,

Zegrari³

et al. 2019

IJRTE

Self Cite

View full text Add to dashboard Cite

show abstract

Model‐free hierarchical control with fractional‐order sliding surface for multisection web machines

Dang

Nguyen

Tran

et al. 2022

Adaptive Control & Signal

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Due to the nonlinearities and dynamical properties of multisection web machines, it is essential to accomplish an appropriate mathematical model as well as design a compatible control scheme. A generalized fully driven web winding model is constructed taking unpredictable changes of moment of inertia and radius of rolls into consideration. In this article, a fractional‐order sliding surface algorithm‐based hierarchical control frame is applied to multisection web machines to deal with matched and mismatched uncertainties and disturbances. In addition, the Radius Basis Function neural network is deployed to estimate necessary system dynamics and the proposed control scheme taking advantage of first‐order low‐pass filters to produce virtual control signals without complicated calculation and attenuate the explosion of terms phenomenon. Finally, the semi‐global stability of the entire system is determined using Lyapunov's stability theory. The simulation results are presented to clarify the superior performance of robust control algorithm and approximation law in the presence of nonideal elements.

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Nonlinear control of the HAGC by backstepping with integral action based on a circle-criterion observer

Akil

Rabbah

2020

Int J Adv Manuf Technol

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Nonlinear Control of the Web Winding System by Backstepping with Integral Action

Cited by 4 publications

References 6 publications

Improved Control of the Web Winding System Based on a Super-Twisting Observer

Improved Control of the Web Winding System Based on a Super-Twisting Observer

Model‐free hierarchical control with fractional‐order sliding surface for multisection web machines

Nonlinear control of the HAGC by backstepping with integral action based on a circle-criterion observer

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