Pragmatical adaptive synchronization – New fuzzy model of two different and complex chaotic systems by new adaptive control

Fuzzy adaptive control of two totally different chaotic systems with complicated structures by novel pragmatically adaptive control strategy

“…Another important issue in this article is that, since Prof. Zadeh (1998) firstly proposed the fuzzy logic concept in 1988, fuzzy logic has received much attention from the control theorists as an effective tool for nonlinear analysis and control (Li et al 2013;Leu et al 2014;Li et al 2014;Segredo et al 2015). Among various kinds of fuzzy methods, TakagiSugeno (T-S) fuzzy system (Takagi and Sugeno 1985) is widely accepted as a tool for design and analysis of fuzzy control system (Wang and Fei 2014;Kairui et al 2015;Hernandez et al 2015).…”

Master‐Slave Synchronization of Chaotic Φ6 Duffing Oscillators by Linear State Error Feedback Control

“…As is well known, some models for damped and driven oscillators, such as sti ening springs, beam bulking, and superconducting Josephson parametric ampli ers, can be described as Φ 6 Du ng oscillators which have been widely used in mechanical and electrical systems [1,[9][10][11][32][33][34][35][36]. With proper parameters, Du ng oscillators have exhibited chaotic behaviors.…”

“…It should be pointed out that chaotic Φ 6 Du ng oscillators are nonlinear systems in which the nonlinear terms play a key role in the generation of chaotic attractors. us, how to use the nonlinear properties of the error system and how to use linear state error feedback control to derive synchronization criteria for chaotic Φ 6 Du ng oscillators is one motivation of this paper.…”

Fuzzy Finite-Time Stability of Chaotic Systems with Time-Varying Delay and Parameter Uncertainties

“…Specifically, a so-called Takagi-Sugeno (TS) fuzzy model was proposed in [6], where complex nonlinear systems are represented by some local linear subsystems. Based on the T-S fuzzy model, some chaotic control design methods have been developed [7][8][9][10][11][12]. In [7], a fuzzy model is presented to simulate two different chaotic systems with different numbers of nonlinear terms and a new adaptive approach is proposed to synchronize these two different fuzzy chaotic systems.…”

“…Based on the T-S fuzzy model, some chaotic control design methods have been developed [7][8][9][10][11][12]. In [7], a fuzzy model is presented to simulate two different chaotic systems with different numbers of nonlinear terms and a new adaptive approach is proposed to synchronize these two different fuzzy chaotic systems. Predictive control for chaotic systems is based on a T-S fuzzy model in [8].…”