Model-free adaptive fractional order control of stable linear time-varying systems

Yakoub, Z.; Amairi, Messaoud; Chetoui, Manel; Saidi, B.; Aoun, Mohamed

doi:10.1016/j.isatra.2017.01.023

Cited by 22 publications

(11 citation statements)

References 25 publications

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“…In the case of adaptive control, several studies have been investigated a combination of fractional calculus and adaptive mechanism. For example, the model-free adaptive fractional-order control was proposed for illustrating the online tuning technique suitable for linear time-varying systems [18]. The adaptive fractional-order sliding mode control was applied to a micro gyroscope for achieving trajectory tracking control [19], [20].…”

Section: Introductionmentioning

confidence: 99%

Efficient Fractional Order Reference Model of Adaptive Controller Design for Multi-input Multi-output Thermal System

Chaoraingern

Tipsuwanporn

Numsomran

2020

Int. J. Adv. Sci. Eng. Inf. Technol.

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The diverse control techniques have been combined with fractional calculus to enhance the control system performance. This paper presents an efficient fractional-order model reference adaptive controller (FOMRAC) design, which aims to demonstrate the solution for temperature reference tracking and cross-coupling rejection in the multi-input multi-output thermal system as well as cognizing of power consumption saving constraints. The mathematical modeling, nonlinear dynamic characteristic details, and system identification of the thermal system are described while the fractional-order controller combined with a model reference adaptive control (FOMRAC) based on MIT rule is developed so that to create the nonlinear adaptive mechanism which enables the excellent performance to control the multi-input multi-output thermal system. Likewise, a decoupling compensator is constructed to remunerate the effect of the cross-coupling interaction. The validation of the proposed control scheme is performed through the Matlab simulation and the experiment on the multi-input multi-output thermal system. The results illustrated the FOMRAC technique in which the controller's adjustable parameters can provide efficiency stability and performance to minimize the settling time and percent overshoot of the control system response. Besides, the analysis of the power consumption in the control system is addressed to reinforce the useful ability of the proposed method compared with the integral-order model reference adaptive controller (IOMRAC) and the traditional PID controller. The results revealed that the proposed FOMRAC technique exhibited much better than other methods because of the effective optimization of adaptive gain mechanism and fractional-order operators.

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Section: Introductionmentioning

confidence: 99%

Efficient Fractional Order Reference Model of Adaptive Controller Design for Multi-input Multi-output Thermal System

Chaoraingern

Tipsuwanporn

Numsomran

2020

Int. J. Adv. Sci. Eng. Inf. Technol.

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“…In this paper, the EHST adopts electro-hydraulic servo drive mode, which has been extensively used in various industrial fields [25], [26]. The conventional PID controller is one of the most important control strategies [27], but it cannot meet the control requirements of the increasingly complex electro-hydraulic servo system [28]. Because three-variable control can extend the frequency bandwidth and improve the dynamic property, it has been the main control method of electro-hydraulic servo systems [29], an inverse transfer function of the system was combined with a three-variable controller and an offline feedforward compensator [30].…”

Section: Introductionmentioning

confidence: 99%

Modal Space Feedforward Control for Electro-Hydraulic Parallel Mechanism

Shen

Zang

et al. 2019

IEEE Access

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As a parallel mechanism with six-degree-of-freedom, an electro-hydraulic shaking table is endowed with strong coupling characteristics among different degree-of-freedoms. When the electrohydraulic shaking table moves to one direction, there will be some unnecessary related motions in other directions, which will affect the tracking accuracy. The kinematics model, the dynamic model, and the electro-hydraulic model are all established based on analyzing the components and working principles of the electro-hydraulic shaking table. After that, a modal space controller is built on the basis of a threevariable feedback controller by relying on the designed modal space matrix on the premise of modal control theory. In this regard, a multiple-input multiple-output system with strong coupling within the physical space is transformed into a set of single-input single-output systems independent from each other within the modal space. Moreover, the accuracy of vibration control can be improved by introducing a discrete feedforward controller. It is evident from the experimental results that the proposed control strategy can effectively improve the accuracy of vibration control.INDEX TERMS Electro-hydraulics, parallel mechanism, vibration control, coupling, modal space control.

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“…For fractional models, few studies have treated set-membership parameter estimation using an ellipsoidal approximation (Amairi, 2016) or a parallelotope approximation (Amairi et al, 2012). To improve the estimation algorithms of uncertain fractional systems for efficient applications in control (Saidi et al, 2015; Yakoub et al, 2017) and diagnosis, a new orthotopic approach has been developed recently (Hamdi et al, 2016). In this paper, we propose an improvement of the orthotopic set-membership parameter estimation method and a comparison with the ellipsoidal approach.…”

Section: Introductionmentioning

confidence: 99%

Recursive set-membership parameter estimation of fractional systems using orthotopic approach

Hamdi

Amairi

Aoun

2018

Transactions of the Institute of Measurement and Control

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In this paper, set-membership parameter estimation of linear fractional-order systems is addressed for the case of unknown-but-bounded equation error. In such bounded-error context with a-priori known noise bounds, the main goal is to characterize the set of all feasible parameters. This characterization is performed using an orthotopic strategy adapted for fractional system parameter estimation. In the case of a fractional commensurate system, an iterative algorithm is proposed to deal with commensurate-order estimation. The performances of the proposed algorithm are illustrated by a numerical example via a Monte Carlo simulation.

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Model-free adaptive fractional order control of stable linear time-varying systems

Cited by 22 publications

References 25 publications

Efficient Fractional Order Reference Model of Adaptive Controller Design for Multi-input Multi-output Thermal System

Efficient Fractional Order Reference Model of Adaptive Controller Design for Multi-input Multi-output Thermal System

Modal Space Feedforward Control for Electro-Hydraulic Parallel Mechanism

Recursive set-membership parameter estimation of fractional systems using orthotopic approach

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