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21.
Multi-scroll hidden attractors and multi-wing hidden attractors in a 5-dimensional memristive system 下载免费PDF全文
A novel 5-dimensional(5D) memristive chaotic system is proposed, in which multi-scroll hidden attractors and multiwing hidden attractors can be observed on different phase planes. The dynamical system has multiple lines of equilibria or no equilibrium when the system parameters are appropriately selected, and the multi-scroll hidden attractors and multi-wing hidden attractors have nothing to do with the system equilibria. Particularly, the numbers of multi-scroll hidden attractors and multi-wing hidden attractors are sensitive to the transient simulation time and the initial values. Dynamical properties of the system, such as phase plane, time series, frequency spectra, Lyapunov exponent, and Poincar′e map, are studied in detail. In addition, a state feedback controller is designed to select multiple hidden attractors within a long enough simulation time. Finally, an electronic circuit is realized in Pspice, and the experimental results are in agreement with the numerical ones. 相似文献
22.
In this paper, a sliding mode controller (SMC) is designed to control a new dynamical system with canonical chaos characters. With the proposed SMC, the new chaotic system can be regulated to a fixed point in the state space. Simulation shows that the chattering phenomenon is greatly alleviated. 相似文献
23.
基于波特图的频域近似方法,研究了分数阶Liu混沌系统,并设计了一种树形电路单元来实现分数阶Liu混沌系统,通过对2.7阶Liu混沌系统的电路仿真和实验,以及α=0.8—0.1(步长0.1)Liu混沌系统的电路仿真,验证了树形电路单元的有效性,证实分数阶Liu混沌系统中确实存在混沌现象,且存在混沌的最低阶数为0.3. 设计简单有效的线性反馈控制器,实现了分数阶Liu混沌系统的混沌控制.
关键词:
分数阶Liu系统
电路实验
混沌控制 相似文献
24.
Fixed time integral sliding mode controller and its application to the suppression of chaotic oscillation in power system 下载免费PDF全文
Chattering phenomenon and singularity are still the main problems that hinder the practical application of sliding mode control. In this paper, a fixed time integral sliding mode controller is designed based on fixed time stability theory,which ensures precise convergence of the state variables of controlled system, and overcomes the drawback of convergence time growing unboundedly as the initial value increases in finite time controller. It makes the controlled system converge to the control objective within a fixed time bounded by a constant as the initial value grows, and convergence time can be changed by adjusting parameters of controllers properly. Compared with other fixed time controllers, the fixed time integral sliding mode controller proposed in this paper achieves chattering-free control, and integral expression is used to avoid singularity generated by derivation. Finally, the controller is used to stabilize four-order chaotic power system. The results demonstrate that the controller realizes the non-singular chattering-free control of chaotic oscillation in the power system and guarantees the fixed time convergence of state variables, which shows its higher superiority than other finite time controllers. 相似文献
25.
This paper introduces a new hyperchaotic system by adding an additional
state into the third-order Liu chaotic system. Some of its basic dynamical
properties, such as the hyperchaotic attractor, Lyapunov exponent, fractal
dimension and the hyperchaotic attractor evolving into chaotic, periodic,
quasi-periodic dynamical behaviours by varying parameter d are studied
briefly. Various attractors are illustrated not only by computer simulation
but also by conducting an electronic circuit experiment. 相似文献
26.
This paper proposes a new simple autonomous chaotic system which can
generate multi-scroll chaotic attractors. The characteristic of this new
multi-scroll chaotic system is that the 4n+2m+4-scroll chaotic attractors are
generated easily with n and m varying under n \le m. Various number of scroll
chaotic attractors are illustrated not only by computer simulation but also
by the realization of an electronic circuit experiment on EWB (Electronics
Workbench). 相似文献
27.
This paper studies the control of a new chaotic system which can
generate 4-scroll attractors. Based on the properties of a passive
system, it derives the essential conditions under which this new
chaotic system could be equivalent to a passive system and globally
asymptotically stabilize at a zero equilibrium point via smooth
state feedback. Simulation results and circuit experiment show that
the proposed chaos control method is effective. 相似文献
28.
In this paper a new simple multi-scroll chaotic generator is studied.
The characteristic of this new multi-scroll chaotic generator is that
it is easy to generate different number of scroll chaotic attractors
through modifying the nature number n after fixing the suitable
system parameters and it does not need complex mathematical
derivation. Various number of scroll chaotic attractors are
illustrated not only by computer simulation but also by the
realization of an electronic circuit experiment on Electronic
Workbench (EWB). 相似文献
29.
In this paper a new hyperchaotic system is reported. Some basic dynamical
properties, such as continuous spectrum, Lyapunov exponents, fractal
dimensions, strange attractor and Poincar\'{e} mapping of the new
hyperchaotic system are studied. Dynamical behaviours of the new hyperchaotic
system are proved by not only numerical simulation and brief theoretical
analysis but also an electronic circuit experiment. 相似文献
30.
A fractional order hyperchaotic system derived from a Liu system and its circuit realization 下载免费PDF全文
In this paper we propose a novel four-dimensional fractional order hyperchaotic system derived from a Liu system.Electronics workbench(EWB) and Matlab simulations show the dynamical behavior of the proposed four-dimensional fractional order hyperchaotic system.Finally,after separately using EWB and Matlab,an electronic circuit is designed to realize the novel four-dimensional fractional order hyperchaotic system and the experimental circuit results are obtained which are identical to software simulations. 相似文献