A control approach where the fuzzy logic methodology is combined with impulsive control is developed for controlling some time-delay chaotic systems in this paper.We first introduce impulses into each subsystem with delay of the Takagi-Sugeno(TS) fuzzy IF-THEN rules and then present a unified TS impulsive fuzzy model with delay for chaos control.Based on the new model,a simple and unified set of conditions for controlling chaotic systems is derived by the Lyapunov-Razumikhin method,and a design procedure for estimating bounds on control matrices is also given.Several numerical examples are presented to illustrate the effectiveness of this method.
This paper proposes a novel approach for generating a multi-scroll chaotic system.Together with the theoretical design and numerical simulations,three different types of attractor are available,governed by constructing triangular wave,sawtooth wave and hysteresis sequence.The presented new multi-scroll chaotic system is different from the classical multi-scroll chaotic Chua system in dimensionless state equations,nonlinear functions and maximum Lyapunov exponents.In addition,the basic dynamical behaviours,including equilibrium points,eigenvalues,eigenvectors,eigenplanes,bifurcation diagrams and Lyapunov exponents,are further investigated.The success of the design is illustrated by both numerical simulations and circuit experiments.
