Robust Stabilization of a Class of Nonaffine Quadratic Polynomial Systems: Application in Magnetic Ball Levitation System

Binazadeh, Tahereh; Shafiei, Mohammad Hossein; Rahgoshay, Mohammad Ali

doi:10.1115/1.4026796

Cited by 6 publications

(5 citation statements)

References 9 publications

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“…The proposed controller in (25) is discontinuous and suffers from chattering. To overcome this difficulty, the so-called boundary layer solution may be used, which is a common approach in the literature (Binazadeh, 2016; Binazadeh et al, 2015; Binazadeh and Yousefi, 2017; Hu, 2008; Shafiei and Binazadeh, 2013). In this section, control law (25) is approximated by the following continuous function to alleviate chattering:…”

Section: Resultsmentioning

confidence: 99%

Observer-based synchronization of uncertain chaotic systems subject to input saturation

Mohammadpour

Binazadeh

2017

Transactions of the Institute of Measurement and Control

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This paper considers the synchronization between two chaotic systems (i.e. master and slave systems) in the presence of practical constraints. The considered constraints are: the unavailability of state variables of both master and slave system, the presence of non-symmetric input saturation, model uncertainties and/or external disturbances (matched and/or unmatched). Considering these constraints, an adaptive robust observer-based controller is designed, which guarantees synchronization between the chaotic systems. For this purpose, a theorem is given and, according to a Lyapunov adaptive stabilization approach, it is proved that the robust synchronization via the proposed observer-based controller is guaranteed in the presence of actuator saturation and it is shown that even if the control signal is saturated, the proposed controller leads to a robust synchronization objective. Finally, in order to show the applicability of the proposed controller, it is applied on the Van der Pol chaotic systems. Computer simulations verify the theoretical results and show the effective performance of the proposed controller.

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Section: Resultsmentioning

confidence: 99%

Observer-based synchronization of uncertain chaotic systems subject to input saturation

Mohammadpour

Binazadeh

2017

Transactions of the Institute of Measurement and Control

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“…The first step is to choose an appropriate sliding surface for satisfying the control objective, and the second step is to design a discontinuous control law that forces the error trajectories to reach the sliding surface. [39][40][41][42][43] Based on the mentioned points, the sliding surface is suggested as:…”

Section: Phasementioning

confidence: 99%

Adaptive Robust Tracker Design for Nonlinear Sandwich Systems Subject to Saturation Nonlinearities

Azhdari

Binazadeh

2020

Robotica

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SUMMARY This paper addresses the tracking problem for uncertain nonlinear sandwich systems that consist of two nonlinear subsystems and saturation nonlinearity, which is sandwiched between the subsystems. The considered sandwich system is also subject to a nonsymmetric input saturation constraint. Due to the nonsmooth characteristics of sandwiched saturation nonlinearity and also the input saturation function, the design procedure deals with hard challenges. To overcome these difficulties, a recursive approach is suggested that consists of two phases. For the implementation of the proposed approach, a tracking problem is solved in each phase. In the first phase, the second subsystem with sandwiched saturation nonlinearity is considered and the output tracking problem of the desired time-varying reference signal is solved using backstepping method. The outcome of the first phase is the desired reference signal that should be tracked by the first subsystem in the next phase. In the second phase, the robust control input is designed for the first subsystem by employing adaptive sliding mode technique such that, despite the nonsymmetric input saturation constraint, model uncertainty and external disturbances, the output of the first subsystem follows the desired signal that is obtained in the previous phase. The simulation results for a mechanical sandwich system are illustrated to verify the effectiveness of the proposed control method.

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“…Shi et al 18 presented a new fractional SMC method with fractional disturbance observer to attenuate matched and mismatched disturbances in a fractional-order system. In the aspect of SMC in the maglev system (MS), Binazadeh and colleagues [19][20][21][22][23][24][25][26][27] made important contributions. Binazadeh et al 19 designed a new SMC to ensure the asymptotic stability of the maglev ball system under uncertain conditions by using the boundary information of disturbances and the root position in the quadratic polynomial constructed.…”

Section: Introductionmentioning

confidence: 99%

“…In the aspect of SMC in the maglev system (MS), Binazadeh and colleagues [19][20][21][22][23][24][25][26][27] made important contributions. Binazadeh et al 19 designed a new SMC to ensure the asymptotic stability of the maglev ball system under uncertain conditions by using the boundary information of disturbances and the root position in the quadratic polynomial constructed. Ginoya et al 20 proposed a cascade SMC method based on a disturbance observer for the maglev ball system, which did not need to measure the velocity of the maglev ball and any boundary information of uncertainty, but the saturation function in SMC causes the steady-state error.…”

Section: Introductionmentioning

confidence: 99%

Radial basis function neural network–based adaptive sliding mode suspension control for maglev yaw system of wind turbines

Cui

Cai

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part I:

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The maglev yaw system of wind turbines adopts maglev-driving technology instead of traditional gear-driving technology. It has many advantages, such as no lubrication, simple structure, and high reliability. However, the stable suspension control of maglev yaw system is difficult to achieve due to the unknown disturbance caused by crosswind in a practical environment. In this article, an adaptive sliding mode cascade controller based on radial basis function neural network is proposed for the stable suspension control of maglev yaw system. First, the dynamic mathematical model of maglev yaw system is established. Second, an adaptive sliding mode robust controller using radial basis function neural network is designed as the outer loop air gap tracking controller for precise position control, where radial basis function neural network is employed to estimate the unknown parameter containing disturbance. To eliminate the limitation of the traditional exponential approach law based on sign function in the sliding mode control, an exponential reaching law based on hyperbolic tangent function is introduced to guarantee the smooth suspension control of maglev yaw system. Third, an adaptive controller as the inner loop current tracking controller is designed. Finally, the corresponding simulations and analysis are carried out. The simulation results show that the proposed controller can guarantee the suspension stability of maglev yaw system and suppress the disturbance effectively. Compared with the cascade proportional–integral–derivative controller and improved double power reaching law integral sliding mode controller, the proposed controller has a faster dynamic response and stronger robustness in the presence of unknown external disturbance.

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Robust Stabilization of a Class of Nonaffine Quadratic Polynomial Systems: Application in Magnetic Ball Levitation System

Cited by 6 publications

References 9 publications

Observer-based synchronization of uncertain chaotic systems subject to input saturation

Observer-based synchronization of uncertain chaotic systems subject to input saturation

Adaptive Robust Tracker Design for Nonlinear Sandwich Systems Subject to Saturation Nonlinearities

Radial basis function neural network–based adaptive sliding mode suspension control for maglev yaw system of wind turbines

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