Introduction and realization of four fractional-order sliding mode controllers for nonlinear open-loop unstable system: a magnetic levitation study case

Pandey, Sandeep; Dourla, Varun; Dwivedi, Prakash; Junghare, Anjali S.

doi:10.1007/s11071-019-05216-x

Cited by 29 publications

(20 citation statements)

References 22 publications

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“…To obtain a smoother control signal, the authors used the tanh instead of signum function. Four novel fractional-order sliding mode controllers are presented [12] and experimental results are provided. A novel neural network-based controller is presented by Hayat et al [13] and a model that considers the angular position of the ball is derived.…”

Section: Introductionmentioning

confidence: 99%

Equilibrium Optimizer-Based Robust Sliding Mode Control of Magnetic Levitation System

Ismael¹,

Qasim²,

Noaman³

2021

JESA

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Magnetic Levitation System (MLS) objective is to levitate objects to the desired height without any contact. MLS is highly nonlinear and inherently unstable. Such a system imposes a challenge when designing robust and high-performance controllers. This paper presents the design of a Sliding Mode (SM) controller with an Integral term called SM-I controller to achieve the desired levitation against nonlinearities and uncertainties of the system. The controller parameters are tuned using the Equilibrium Optimizer (EO) algorithm. The Effectiveness of the proposed controller is validated by simulation results. Simulations are performed for servo tracking with and without perturbations in the MLS parameters. The proposed controller is compared with the conventional SM, LQR, and PID controllers to show its superiority. The results prove that the SM-I is more efficient than the other controllers.

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Section: Introductionmentioning

confidence: 99%

Equilibrium Optimizer-Based Robust Sliding Mode Control of Magnetic Levitation System

Ismael¹,

Qasim²,

Noaman³

2021

JESA

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“…In [7], a novel 2-DOF fractionalorder controller with inherent anti-windup capability is proposed and is applied in a magnetic levitation system (MLS). In [8], four novel controllers called fractional static sliding mode controller, fractional integral static sliding mode controller, fractional dynamic sliding mode controller and fractional integral dynamic sliding mode controller are proposed and and is applied in a magnetic levitation system. In [9], an optimization procedure based on the CS(cuckoo search) algorithm is presented to optimize all the parameters of the fuzzy logic control which involve not only the membership functions positions but also the rule base and it is applied to a nonlinear magnetic levitation system.…”

Section: Introductionmentioning

confidence: 99%

Design and Real-Time Implementation of Takagi–Sugeno Fuzzy Controller for Magnetic Levitation Ball System

2020

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An integral state feedback control method based on T-S fuzzy model is proposed for nonlinear and unstable magnetic levitation ball system in this paper. Firstly, the fuzzy model of the magnetic levitation ball is derived from the nonlinear dynamic model by using the sector nonlinearity, and the local controller is designed by using the integral state feedback control. The global controller is constructed by a parallel distributed compensation (PDC) method, and the feedback gain is obtained using a linear matrix inequality (LMI). Finally, the integrated state feedback controller is applied to the position control of the magnetic levitation ball system, and a dSPACE real-time control platform is established for experimental research. The simulation and experiment are performed to prove that the designed controller can levitate the ball stably, and has better control performance. INDEX TERMS Magnetic levitation ball system, T-S fuzzy model, integral state feedback, parallel distributed compensation (PDC), linear matrix inequality (LMI), dSPACE.

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“…Another challenge is the case of time-delayed systems [32], [33], whether the incremental sliding technology can be introduced. The organisation of this paper is structured as follows.…”

Section: Introductionmentioning

confidence: 99%

Sliding Mode Control: An Incremental Perspective

Zhang

et al. 2020

IEEE Access

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This study focuses on stabilization problem of a class of nonlinear systems. Generally, Lyapunov stability-based sliding mode technique is widely used to design controllers for nonlinear systems with uncertainties. In this paper, however, based on contraction property and sliding surfaces, the sliding mode control is suggested to provide incremental stability for nonlinear systems with uncertainties. The effectiveness of the method is illustrated by numerical simulations. INDEX TERMS Sliding mode control, contraction theory, robust control, incremental stability.

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Introduction and realization of four fractional-order sliding mode controllers for nonlinear open-loop unstable system: a magnetic levitation study case

Cited by 29 publications

References 22 publications

Equilibrium Optimizer-Based Robust Sliding Mode Control of Magnetic Levitation System

Equilibrium Optimizer-Based Robust Sliding Mode Control of Magnetic Levitation System

Design and Real-Time Implementation of Takagi–Sugeno Fuzzy Controller for Magnetic Levitation Ball System

Sliding Mode Control: An Incremental Perspective

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