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Fuzzy Adaptive Control of a Fractional Order Chaotic System With Unknown Control Gain Sign Using a Fractional Order Nussbaum Gain 被引量:3
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作者 Khatir Khettab samir ladaci Yassine Bensafia 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2019年第3期816-823,共8页
In this paper we propose an improved fuzzy adaptive control strategy, for a class of nonlinear chaotic fractional order(SISO) systems with unknown control gain sign. The online control algorithm uses fuzzy logic sets ... In this paper we propose an improved fuzzy adaptive control strategy, for a class of nonlinear chaotic fractional order(SISO) systems with unknown control gain sign. The online control algorithm uses fuzzy logic sets for the identification of the fractional order chaotic system, whereas the lack of a priori knowledge on the control directions is solved by introducing a fractional order Nussbaum gain. Based on Lyapunov stability theorem, stability analysis is performed for the proposed control method for an acceptable synchronization error level. In this work, the Gr ¨unwald-Letnikov method is used for numerical approximation of the fractional order systems. A simulation example is given to illustrate the effectiveness of the proposed control scheme. 展开更多
关键词 Adaptive fuzzy CONTROL chaos synchronization FRACTIONAL order NUSSBAUM function LYAPUNOV stability nonlinear FRACTIONAL order systems
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Bifurcation-based fractional-order PI~λD~μ controller design approach for nonlinear chaotic systems 被引量:1
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作者 Karima RABAH samir ladaci Mohamed LASHAB 《Frontiers of Information Technology & Electronic Engineering》 SCIE EI CSCD 2018年第2期180-191,共12页
We propose a novel approach called the robust fractional-order proportional-integral-derivative(FOPID)controller, to stabilize a perturbed nonlinear chaotic system on one of its unstable fixed points. The stability ... We propose a novel approach called the robust fractional-order proportional-integral-derivative(FOPID)controller, to stabilize a perturbed nonlinear chaotic system on one of its unstable fixed points. The stability analysis of the nonlinear chaotic system is made based on the proportional-integral-derivative actions using the bifurcation diagram. We extract an initial set of controller parameters, which are subsequently optimized using a quadratic criterion. The integral and derivative fractional orders are also identified by this quadratic criterion. By applying numerical simulations on two nonlinear systems, namely the multi-scroll Chen system and the Genesio-Tesi system,we show that the fractional PI~λD~μ controller provides the best closed-loop system performance in stabilizing the unstable fixed points, even in the presence of random perturbation. 展开更多
关键词 Fractional order system Bifurcation diagram Fractional PIλDμ controller Multi-scroll Chen chaoticsystem Genesio-Tesi chaotic system
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Fractional order extremum seeking approach for maximum power point tracking of photovoltaic panels 被引量:1
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作者 Ammar NECAIBIA samir ladaci +1 位作者 Abdelfatah CHAREF Jean Jacques LOISEAU 《Frontiers in Energy》 SCIE CSCD 2015年第1期43-53,共11页
Due to the high interest in renewable energy and diversity of research regarding photovoltaic (PV) array, a great research effort is focusing nowadays on solar power generation and its performance improvement under ... Due to the high interest in renewable energy and diversity of research regarding photovoltaic (PV) array, a great research effort is focusing nowadays on solar power generation and its performance improvement under various weather conditions. In this paper, an integrated framework was proposed, which achieved both maximum power point tracking (MPPT) and minimum ripple signals. The proposed control scheme was based on extremum- seeking (ES) combined with fractional order systems (FOS). This auto-tuning strategy was developed to maximize the PV panel output power through the regulation of the voltage input to the DC/DC converter in order to lead the PV system steady-state to a stable oscillation behavior around the maximum power point (MPP). It is shown that fractional order operators can improve the plant dynamics with respect to time response and disturbance rejection. The effectiveness of the proposed controller scheme is illustrated with simulations using measured solar radiation data. 展开更多
关键词 extremum seeking (ES) fractional ordercontrol (FOC) fractional calculus photovoltaic (PV)
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Direct fractional order MRAC adaptive control design for a class of fractional order commensurate linear systems
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作者 Hanane Balaska samir ladaci Abdelbaki Djouambi 《Journal of Control and Decision》 EI 2021年第3期363-371,共9页
In this paper,we introduce a direct fractional order adaptive control design based on model reference adaptive control(MRAC)structure for a class of commensurate fractional order linear systems with an arbitrary relat... In this paper,we introduce a direct fractional order adaptive control design based on model reference adaptive control(MRAC)structure for a class of commensurate fractional order linear systems with an arbitrary relative degree,and whose parameters are unknown.By generalising the application of standard direct MRAC strategy to plants described by fractional order models,we develop a fractional adaptive control scheme(FOMRAC)based on the output feedback.We also define an adaptation control law ensuring the stability of the closed-loop system and the good tracking of the reference trajectory.The asymptotic stability of the fractional order control system is proven using an extension of the Lyapunov theorem.Simulation results show the effectiveness of the proposed control method even for plants with model parametric variations and additive noises. 展开更多
关键词 Fractional order linear commensurate system direct model reference adaptive control fractional adaptive control direct FOMRAC Lyapunov stability
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