On Fractional Adaptive Control

By Samir Ladaci, A. Charef. 2006

243 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/001ac08f825f543f0073fbe9cdc6b0065c46beee

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In Control and Systems Engineering

In Modeling and Simulation

Citations in the corpus

Fractional Order Sliding Mode Controller Design for Fractional Order Dynamic Systems (2010, background): “Applications focusing on adaptive control can be found in [ 7 ] while a brief treatment of state space models with discretization is presented in [2].”
Sliding mode control approaches to the robust regulation of linear multivariable fractional‐order dynamics (2010, background): “linear control paradigms as well such as the model-reference adaptive control [13, 14, 15].”
Adaptive backstepping output feedback control for a class of nonlinear fractional order systems (2016, unknown): “PID control [8], the CRONE control [9], the sliding mode control [10] and the adaptive control [11].”
A fractional adaptation law for sliding mode control (2008, background): “25, and by Ladaci and Charef [9], where the good performance in noise rejection is emphasized.”
Nonlinear dynamics and control of a variable order oscillator with application to the van der Pol equation (2009, methodology): “Ahmad et al. [17] described the stabilization of three different types of chaotic fractional order systems, Cao et al. [18] presented an optimization method based on genetic algorithms for the design of a PIλDδ controller, and fractional adaptive control is described by Ladaci and Charef [19].”
Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems (2015, background): “Fractional Order PID controllers [5]; fractional high gain output feedback controllers [6,7] and Fractional Order Model Reference Adaptive Controllers (FOMRAC) [8–14], amongst others.”
On the sliding‐mode control of fractional‐order nonlinear uncertain dynamics (2016, background): “The long-range temporal or spatial hereditary phenomena inherent to the FOSs present unique and intriguing peculiarities, not supported by their integer-order counterpart, which raise numerous challenges and opportunities related to the development of control and estimation methodologies involving f”