This study investigates the adaptive fuzzy output feedback control of strict-feedback fractional-order chaotic systems with unmeasurable states and quantized input. First, functional uncertainties are approximated by logic (FLSs). Second, combining FLS system signal, an observer is constructed to estimate states. A command filter defined cope “explosion complexity” problem resulting from repeat...

New sufficient linear-matrix-inequality conditions are provided to ensure the stability of a class of fractional-order systems by means of asymptotic observer-based feedbacks. It is shown that the search of the observer and the controller gains can be obtained by decoupling the necessary matrix inequalities that involve coupled gains. The obtained numerically tractable conditions are formulated...

A class of switching system is studied in this paper. A Fractional order controller for Sliding Mode Control (SMC) is proposed to control such systems. An augmented fractional order system is considered in order to design the controller. Therefore, more information about the system is available and the controller will have more degrees of freedom than the integer one. The results can either be ...

This paper deals with chaos control in an arch microelectromechanical system (MEMS) from the fractional calculus perspective. There is a growing need for effective controllers various technological fields, and it important to consider disruptions, uncertainties, input limitations when designing practical controller. To address this problem, we propose novel disturbance-observer-based terminal s...

this paper concerns the problem of robust stabilization of uncertain fractional-order non-autonomous systems. in this regard, a single input active control approach is proposed for control and stabilization of three-dimensional uncertain fractional-order systems. the robust controller is designed on the basis of fractional lyapunov stability theory. furthermore, the effects of model uncertainti...

this paper addresses synchronizing two coupled chaotic fitzhugh–nagumo (fhn) neurons with weakly gap junction under external electrical stimulation (ees). to transmit information among coupled neurons, by generalization of the integer-order fhn equations of the coupled system into the fractional-order in frequency domain using crone approach, the behavior of each coupled neuron relies on its pa...

in this paper we apply hybrid functions of general block-pulse‎ ‎functions and legendre polynomials for solving linear and‎ ‎nonlinear multi-order fractional differential equations (fdes)‎. ‎our approach is based on incorporating operational matrices of‎ ‎fdes with hybrid functions that reduces the fdes problems to‎ ‎the solution of algebraic systems‎. ‎error estimate that verifies a‎ ‎converge...