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Synergetic Adaptive Fuzzy Control for a Class of Nonlinear Discrete-time Systems

Boukhalfa Abdelouaheb*, Khaber Farid, and Essounbouli Najib
International Journal of Control, Automation, and Systems, vol. 16, no. 4, pp.1981-1988, 2018

Abstract : "In this paper, a discrete-time adaptive fuzzy synergetic controller for a class of uncertain nonlinear dynamic systems is developed. Nonlinear systems, with configurations and parameters that fluctuate with time require a fully nonlinear model and a discrete-time adaptive control scheme for a practical operating environment. Therefore, an adaptive controller, which considers the nonlinear nature of the plant and adapts its parameters to changes in the environment is necessary and is addressed in this work. Depending on the Lyapunov synthesis, fuzzy sets universal approximation properties are used in a discrete adaptive scheme to approximate the nonlinear system while synergetic control guarantees robustness and the use of a chatter free discrete-time control law which makes the controller easy to implement. A simulation results of a real world example are indicated, to show the effectiveness of the proposed method."

Keyword : "Adaptive controller, adaptive fuzzy synergetic controller, discrete-time nonlinear system, Lyapunov synthesis, synergetic control theory."

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