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This paper presents a new approach to robust adaptive control, using fractional order systems as parallel feedforward in the adaptation loop. The problem is that adaptive control systems may diverge when confronted with finite sensor and actuator dynamics, or with parasitic disturbances. One of the classical robust adaptive control solutions to these(More)
In this paper, we propose a new control scheme based on Extremum-Seeking (ES) combined with Fractional-Order Systems (FOS). This auto-tuning strategy involving a fractional order integral action, is developed to optimize the system response without external dithering, exploiting disturbances already present in the control system. We show by mean of(More)
— This paper presents a novel adaptive fuzzy logic controller (FLC) equipped with an adaptive algorithm to achieve synchronization performance for fractional chaotic systems. By introducing the fuzzy control design and robustness tracking approach, a desired synchronization error can be attenuated to a prescribed level, even in the presence of the high(More)
This paper investigates the linear feedback control of the fractional-order Chen chaotic system. The analysis and implementation of the control system in the frequency domain is realized by mean of Charef's singularity function method. A numerical simulation shows the effectiveness of the proposed controller in stabilizing the system on an unstable fixed(More)
Fractional order adaptive controllers are gathering a great interest in the control research community mainly because of the additional tools and freedom offered to the designer in order to respond to more severe control specifications, for processes under control in real-time. The present work introduce a new innovation for a particular regulator in this(More)
This paper presents an innovative design method of polynomial control laws by mean of pole placement which are actually smart solutions to many industrial applications. Even if this category of controllers is very popular in industry, most of their applications concern problems of constant reference signals. In this paper, we propose an indirect adaptive(More)
This paper proposes a fractional order control scheme for the stabilization of the nonlinear chaotic Genesio-Tesi systems. Stability analysis of the nonlinear chaotic system is studied for the fractional order integral and derivative actions using the bifurcation diagram. We show by numerical simulations that the fractional PPD controller provides a good(More)
An alternative fractional order adaptive sliding mode control (FOASMC) scheme design is proposed for the synchronization of a class of nonlinear fractional order systems with chaotic behavior. The considered design approach provides a set of fractional adaptive laws that guarantee asymptotic stability of fractional-order chaotic systems in the sens of the(More)