MOS‐integrable circuitry for multi‐scroll chaotic grid realization: A SPICE‐assisted proof

A MOS‐integrable circuit realization of the class of Multi‐Scroll Grid attractor using an implementation of nonlinear transconductor is presented. The design can be seen as the MOS‐integrable circuit implementation of modified jerk equations presented in the literature (Int. J. Bifurcat. Chaos 2002; 12 (1):23–41). The proposed design of Multi‐Scroll Grid attractor is adequately supported by SPICE simulation results. Copyright © 2008 John Wiley & Sons, Ltd.     

The design and implementation of a multi‐wing chaotic attractor based on a five‐term three‐dimension system

The last two decades have seen great progress about the generation and circuit realization of multi‐wing chaotic attractor. In this paper, several multi‐scroll chaotic attractors are generated from a five‐term system by adding a piecewise linear function. Moreover, some basic properties in terms of symmetry and dissipation, equilibrium points, eigenvalues of the Jacobian matrices, Lyapunov exponent spectrum, bifurcation diagram, and Poincaré map are studied. In particular, an analog circuit is designed to implement the proposed multi‐scroll attractors, which are different from the traditional attractors. Furthermore, an integrated circuit diagram is designed to realize the fractional‐order multi‐scroll attractors. Finally, the performed experimental results confirm the theoretical analysis, and our work lends itself to many potential applications in engineering. Copyright © 2015 John Wiley & Sons, Ltd.     

Multi‐scroll chaotic attractors from a generalized time‐delay sampled‐data system

In this paper, the first generalization for time‐delay sampled‐data chaotic system in order to generate multi‐scroll attractor is introduced with its circuit implementation. An efficient delay‐line with binary priority encoding, parallel shifting, and binary decoding is also suggested and implemented to overcome the delay line realization drawback in such systems. The proposed system enhances the complexity of chaotic behavior by means of multi‐scroll feature and exemplifies the simplification of chaotic systems for better realizations. Copyright © 2015 John Wiley & Sons, Ltd.     

A multi‐wing butterfly chaotic system and its implementation

It has been a common brief that the principle for generating multi‐wing attractor from a Lorenz‐like chaotic system is to construct an even symmetric function for the system. In this pursuit, research effort on exploring the possibility of using non‐even symmetric function is scant, if any. This paper attempts to reveal the intrinsic relation between such a system function and its generated multi‐wing attractor in a chaotic system. It will be shown that a rather simple asymmetric function applying to the Shimizu–Morioka system can indeed generate a multi‐wing butterfly chaotic attractor. Then, some basic properties, compound structure, bifurcation diagram, Lyapunov exponent spectrum, and dynamical analysis of the new chaotic system are investigated in detail. Finally, an electronic circuit is designed and its experimental results are presented, which well match the numerical simulation results, thereby verifying the feasibility of the new method. Copyright © 2017 John Wiley & Sons, Ltd.     

Design and circuit implementation of a five‐dimensional hyperchaotic system with linear parameter

Based on an existing 4‐dimensional Lorenz hyperchaotic system, a novel 5‐dimensional hyperchaotic system is proposed by an extra linear control coefficient in this paper. Some related characters are analysed comprehensively, including the stability of equilibrium, dissipativity, rotation symmetry, bifurcations, Lyapunov exponent, and Poincare surface of a section of the hyperchaotic system. The 5‐dimensional hyperchaotic system is then implemented and simulated in the circuit simulation software NI Multisim. The results indicate that the proposed hyperchaotic system exhibits hyperchaos, chaos, and quasi‐periodic and periodic dynamic behaviours, which can facilitate and enhance the security of chaos‐based communication.     

On constructing complex grid multi‐wing hyperchaotic system: Theoretical design and circuit implementation

This paper further investigates some novel methods for generating complex grid multi‐wing hyperchaotic attractors from four‐dimensional (4D) quadratic hyperchaotic systems, based on our previous works. First, a modified double‐wing hyperchaotic Lü system by using non‐uniform variable scaling transformation is obtained, and n‐wing hyperchaotic system equipped with a duality‐symmetric multi‐segment quadratic function is also constructed. Then, by switching control in the z direction, mirror symmetry conversion and rotation transformation, three classes of n × m‐wing hyperchaotic systems are respectively realized. Finally, two types of improved module‐based circuits are designed for generating various grid multi‐wing hyperchaotic attractors. One characteristic of the proposed approaches lies in their generality, which is also suitable for constructing 4D grid multi‐wing hyperchaotic Lorenz and Chen systems. Both numerical simulation and circuit implementation have demonstrated the feasibility and effectiveness of the proposed approaches. Copyright © 2010 John Wiley & Sons, Ltd.     

Adaptive actuator failure compensation design for unknown chaotic multi‐input systems

In this paper, an adaptive control approach is designed for compensating the faults in the actuators of chaotic systems and maintaining the acceptable system stability. We propose a state‐feedback model reference adaptive control scheme for unknown chaotic multi‐input systems. Only the dimensions of the chaotic systems are required to be known. Based on Lyapunov stability theory, new adaptive control laws are synthesized to accommodate actuator failures and system nonlinearities. An illustrative example is studied. The simulation results show the effectiveness of the design method. Copyright © 2014 John Wiley & Sons, Ltd.     

Analysis of linear and adaptive feedback synchronization in a new unified chaotic system

In this paper, the linear feedback synchronization and adaptive feedback synchronization with only one controller are applied to a new unified chaotic system, which is consisted of three subsystems, and is constructed according to Vaně?ek and ?elikovský criterion, but it is different from any existing chaotic systems. Moreover, numerical simulations will be given to show the effectiveness of these methods. Copyright © 2010 John Wiley & Sons, Ltd.     

A twin‐star hyperchaotic attractor and its circuit implementation

A very simple 4D system with a twin‐star hyperchaotic attractor is presented in this letter. Computer simulation is given to visualize the attractor, and a simple circuitry is designed for system implementation. Copyright © 2003 John Wiley & Sons, Ltd.     

A new hyperchaotic Lorenz‐type system: Generation,analysis, and implementation

A new four‐dimensional continuous‐time autonomous hyperchaotic Lorenz‐type system is introduced and analyzed. This hyperchaotic system is not only visualized by computer simulation but also verified with bifurcation analysis and realized with an electronic circuit. Moreover, explicit formulae for estimating the ultimate bound and positive invariant set of the system are derived by constructing a family of generalized Lyapunov functions. The findings and results of this paper have good potential in control and synchronization of hyperchaos and their engineering applications. Copyright © 2010 John Wiley & Sons, Ltd.     

Design and ARM‐embedded implementation of a chaotic map‐based multicast scheme for multiuser speech wireless communication

This paper proposes a chaotic map‐based multicast scheme for multiuser speech wireless communication and implements it in an ARM platform. The scheme compresses the digital audio signal decoded by a sound card and then encrypts it with a three‐level chaotic encryption scheme. First, the position of every bit of the compressed data is permuted randomly with a pseudo‐random number sequence (PRNS) generated by a 6‐D chaotic map. Then, the obtained data are further permuted in the level of byte with a PRNS generated by a 7‐D chaotic map. Finally, it is operated with a multiround chaotic stream cipher. The whole system owns the following merits: the redundancy in the original audio file is reduced effectively and the corresponding unicity distance is increased; the balancing point between a high security level of the system and real‐time conduction speed is achieved well. In the ARM implementation, the framework of communication of multicast–multiuser in a subnet and the Internet Group Manage Protocol is adopted to obtain the function of communication between one client and other ones. Comprehensive test results were provided to show the feasibility and security performance of the whole system. Copyright © 2016 John Wiley & Sons, Ltd.     

Reactive power compensation in a multi‐line system under sinusoidal unbalanced conditions

A new generalized reactive power compensation algorithm applicable to a multi‐line system under sinusoidal conditions is reviewed. This method does not require any decomposition of reactive power or non‐active current. It is shown that a realization of the compensator can be obtained by means of a simple connection of reactive elements. Accordingly, it is concluded that to compensate the reactive power is a simple circuit synthesis problem. The algorithm is illustrated by means of examples. Copyright © 2010 John Wiley & Sons, Ltd.     

A new adaptive multi‐bias S‐parameter measurement algorithm for transistor characterization

A new adaptive measurement algorithm is described for the control of an automated S‐parameter measurement set‐up used to characterize transistors for non‐linear modelling. The procedure differs from previous algorithms in that is uses both the device DC‐ and S‐parameter data to identify DC bias regions where the device characteristics are changing rapidly. By placing more bias points in these areas and less data points in regions where the device response stays constant, the non‐linear behaviour of the device can be characterized more accurately while keeping the total volume of the experimental data and hence the measurement time to an acceptable level. Experimental results are presented that illustrates the operation of the adaptive algorithm as well as the influence that the selection procedure has on non‐linear modelling results. Copyright © 2005 John Wiley & Sons, Ltd.     

Numerical investigation of the main factor promoting chaotic power swing in a single‐machine,infinite‐bus power system model with the AVR

This paper presents numerical results on bifurcations and chaotic behavior in a fundamental power system model, a single‐machine infinite‐bus system model with generator excitation control by the first‐order lag AVR. The numerical analysis mainly focuses on revealing the parameter value region where the chaotic behavior is observed. It is shown that the partially linearized model, which is derived by linearizing all of the nonlinear elements except the AVR limiter, exhibits similar bifurcations and chaos. Several simulation results indicate that the mechanisms producing the chaotic behaviors and the bifurcations are the same both in the linearized model and in the original single‐machine infinite‐bus system model for parameter value variation which does not move the equilibrium point from the reference point used for the linearization. © 2002 Wiley Periodicals, Inc. Electr Eng Jpn, 142(2): 21–28, 2003; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.10090     

A distributed autonomous approach for bulk power system restoration by means of multi‐agent system

In recent years, the electric utility industry worldwide has been facing pressure to be deregulated. Also, the risk of blackout in large areas will increase. Actually, it is still vivid in our memory that the northeastern United States and southern Canada suffered the worst blackout in history. Consequently, a method to find the optimal solution rapidly is needed all the more. In this paper, we propose a new multi‐agent method for a bulk power system restoration. In order to demonstrate the capability of the proposed multi‐agent system, it has been applied to a model bulk power system, which consists of three local areas including 12 generating units and 12 loads, and three remote areas with 12 loads. A large number of simulations are carried out on this model network with changing conditions. The simulation results show that the proposed multi‐agent approach is effective and promising. © 2008 Wiley Periodicals, Inc. Electr Eng Jpn, 164(1): 69–76, 2008; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.20485     

检测识别混沌波形的一种新方法

提出了一种新的检测识别混沌波形的方法,并根据混沌的特性设计了一个波形变换电路,目的是通过该波形变换电路实现对混沌波形的识别.文中以双涡蔡氏混沌电路中的混沌波形为例详细地介绍了该方法的机理.实测几个典型实例进一步说明该方法简单、实用和有效.     

Real‐time chaotic circuit stabilization via inverse optimal control

In this paper, an efficient approach is developed for real‐time global asymptotic stabilization of the chaotic Chen's circuit, as a typical example for chaotic circuit control. Based on a recently introduced methodology of inverse optimal control for nonlinear systems, a very simple stabilization control law, a linear state feedback, is electronically implemented for the desired global asymptotic stabilization. Both Chen's chaotic system and the designed controller are synthesized and realized by analog electronic components, with the aim of evaluating the physical performance of the real‐time control law and demonstrating the practicality of the control method, which is robust to some input uncertainties. Copyright © 2008 John Wiley & Sons, Ltd.     

Sliding mode disturbance observer control based on adaptive synchronization in a class of fractional‐order chaotic systems

In this paper, a fractional‐order Dadras‐Momeni chaotic system in a class of three‐dimensional autonomous differential equations has been considered. Later, a design technique of adaptive sliding mode disturbance‐observer for synchronization of a fractional‐order Dadras‐Momeni chaotic system with time‐varying disturbances is presented. Applying the Lyapunov stability theory, the suggested control technique fulfils that the states of the fractional‐order master and slave chaotic systems are synchronized hastily. While the upper bounds of disturbances are unknown, an adaptive regulation scheme is advised to estimate them. The recommended disturbance‐observer realizes the convergence of the disturbance approximation error to the origin. Finally, simulation results are presented in one example to demonstrate the efficiency of the offered scheme on the fractional‐order Dadras‐Momeni chaotic system in the existence of external disturbances.     

MIMO multi‐periodic repetitive control system: universal adaptive control schemes

This paper presents a simple adaptive multi‐periodic repetitive control scheme when the MIMO LTI plant is not necessarily positive real (PR), however it is strictly minimum‐phase, the spectrum of high‐frequency gain matrix CB is symmetric and lies in the open right/left half complex plane(sign/spectrum definite). The non‐identifier‐based direct adaptive control technique, which does not need plant parameter information, is used to construct adaptive schemes and the system stability is analysed by Lyapunov second method. The extension to plant under certain non‐linear perturbations and an exponential stability scheme are also discussed. Finally, an adaptive proportional plus multi‐periodic repetitive control scheme is proposed. The theoretical findings are supported with simulations. Copyright © 2006 John Wiley & Sons, Ltd.     

Chen's混沌动力系统的控制

为了研究Chen’s混沌动力系统的混沌控制问题,通过双线性反馈方法将混沌控制在不稳定的平衡点,给出了非反馈周期信号控制混沌系统在不稳定周期轨道上（UPO）的方法。应用Lyapunov定理和Routh-Hurwitz判据分析了被控系统的稳定条件,数字仿真结果证明了控制方法的正确性、有效性。给出了控制Chen’s混沌动力系统到每一个平衡点的具体方法和稳定条件,得出了运用周期信号控制Chen’s混沌动力系统到高周期轨道的判定方法,解决了Chen’s混沌动力系统的控制问题。