Fuzzy T2I Adaptive Backstepping Control for a State-Coupled Two-Tank System

Safa, Choueikh; Kermani, Marwen; M’Śahli, Faouzi

doi:10.1109/sta50679.2020.9329332

Cited by 2 publications

(1 citation statement)

References 20 publications

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“…Future research will extend the results of this work for MIMO systems and implement an observer in cases when the state variables system is not all available. In addition, the estimation or the modeling of a physical model can be approximate by using type-2 fuzzy logic [43,44].…”

Section: Discussionmentioning

confidence: 99%

A Comparative Study of Nonsingular Terminal Sliding Mode and Backstepping Schemes for the Coupled Two‐Tank System

2021

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This paper presents an implementation of two radically different control schemes for a state-coupled two-tank liquid-level system. This is due to the purpose of transferring theoretical studies to industrial systems. The proposed schemes to be introduced and compared are the nonsingular terminal sliding mode control (NTSMC) and the backstepping control (BC). The performances of the developed methods are experimentally tested on a particular class of second-order nonlinear systems. The main purpose of the considered control schemes is to achieve a tracking trajectory for a coupled-tank system. It is proved that the designed robust controllers guarantee the stability of the corresponding closed loop systems. The obtained results are verified with the same setup test to ensure a suitable basis for their comparison. During the experiments, we resorted to adding an integrator to the backstepping control so that we improve the results, leading to the appearance of the integrator backstepping control (IBC). To focus on the adequacy and applicability of the suggested control layout, theoretical comparisons as well as experimental results are afforded and debated.

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Section: Discussionmentioning

confidence: 99%

A Comparative Study of Nonsingular Terminal Sliding Mode and Backstepping Schemes for the Coupled Two‐Tank System

2021

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Adaptive Fuzzy Backstepping and Backstepping Sliding Mode Controllers Based on ICD Observer: A Comparative Study

Choueikh,

Kermani,

M’Sahli

2024

Int. J. Unc. Fuzz. Knowl. Based Syst.

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This paper develops a Fuzzy Adaptive Backstepping Control (FABC) and a Fuzzy Adaptive Backstepping Sliding Mode Control (FABSMC) for Single-Input Single-Output (SISO) nonlinear-systems with unmeasured states. The proposed adaptive schemes are fully compared. Thus, the Fuzzy Type-2 (FT2) concept and the High-Order Integral-Chain Differentiator (HOICD) are used as two universal approximators. Indeed, the first one is employed to approximate the nonlinear system model’s and the second one to estimate the unknown states. Special attention is paid for the used approximators robustness under unmodeled dynamics, parameter variations and process noise. It should be noted that the asymptotic stability of both the fuzzy adaptive controls and the observer convergence for each scheme have been proved. In addition, the employed schemes have been simulated on a two-tank coupled nonlinear system. Thus, from simulation results, we can prove that the proposed methods guarantee that all signals for closed loop systems are both regular and bounded. Specifically, it can be shown that the performances of the proposed Fuzzy Interval Type-2 (FIT2) schemes are significantly improved compared with Fuzzy Type-1 (FT1) schemes in presence of external disturbances.

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Fuzzy T2I Adaptive Backstepping Control for a State-Coupled Two-Tank System

Cited by 2 publications

References 20 publications

A Comparative Study of Nonsingular Terminal Sliding Mode and Backstepping Schemes for the Coupled Two‐Tank System

A Comparative Study of Nonsingular Terminal Sliding Mode and Backstepping Schemes for the Coupled Two‐Tank System

Adaptive Fuzzy Backstepping and Backstepping Sliding Mode Controllers Based on ICD Observer: A Comparative Study

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