Chaotic Motions in the Real Fuzzy Electronic Circuits

Abstract

Fuzzy electronic circuit (FEC) is firstly introduced, which is implementing Takagi-Sugeno (T-S) fuzzy chaotic systems on electronic circuit. In the research field of secure communications, the original source should be blended with other complex signals. Chaotic signals are one of the good sources to be applied to encrypt high confidential signals, because of its high complexity, sensitiveness of initial conditions, and unpredictability. Consequently, generating chaotic signals on electronic circuit to produce real electrical signals applied to secure communications is an exceedingly important issue. However, nonlinear systems are always composed of many complex equations and are hard to realize on electronic circuits. Takagi-Sugeno (T-S) fuzzy model is a powerful tool, which is described by fuzzy IF-THEN rules to express the local dynamics of each fuzzy rule by a linear system model. Accordingly, in this paper, we produce the chaotic signals via electronic circuits through T-S fuzzy model and the numerical simulation results provided by MATLAB are also proposed for comparison. T-S fuzzy chaotic Lorenz and Chen-Lee systems are used for examples and are given to demonstrate the effectiveness of the proposed electronic circuit.

Adaptive Control of Advanced G-L Fuzzy Systems with Several Uncertain Terms in Membership-Matrices

“…This new modeling approach was proposed in an attempt to raise the efficiency of fuzzy modeling, simplify the modeling procedure, and reduce the numbers of modeling materials and feedback control inputs during fuzzy control. This novel modeling approach has been cited over 50 times in various research fields and applications; for instance, H∞ control design [38][39][40][41][42], design and control of memristive systems [43][44][45][46], data encryption [47][48][49][50], sampled-data control [51][52][53] and other applications [54][55][56][57][58][59][60]. Moreover, Li et al [61] extended a new concept of a nonlinear terms group to further improve the effectiveness of the G-L fuzzy model in 2015, called advanced G-L fuzzy modeling strategy (GLT fuzzy system).…”

Parameter estimation and synchronization of hyper chaotic Lu system with disturbance input and uncertainty using two under-actuated control signals

“…Chaos phenomena also has other uses. For example, nonlinear circuits (Kandangath et al, 2007; Li et al, 2013), chemical reactions (Ferreira et al, 1999; Gaspard, 1999), power electronics (Ni et al, 2015; Wu et al, 2015), laser (Jiang and Huang, 2013) and robotics (Zang et al, 2016); study and research on its inherent characteristics and control are of particular importance. The control and synchronization of chaos has attracted many researchers’ attention over the past three decades, and it is still interesting to many others (Wei et al, 2015b, 2016).…”