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nonlinear feedback control of a novel hyperchaotic system and its circuit implementation

Chinese Physics B 2010年第3期19卷 150-157页

作者：汪浩祥蔡国梁缪盛田立新 nonlinear Scientific Research Center Jiangsu University

This paper reports a new hyperchaotic system by adding an additional state variable into a three-dimensional chaotic dynamical system. Some of its basic dynamical properties, such as the hyperchaotic attractor, Lyapunov expo- nents, bifurcation diagram and the hyperchaotic attractor evolving into periodic, quasi-periodic dynamical behaviours by varying parameter k are studied. An effective nonlinear feedback control method is used to suppress hyperchaos to unstable equilibrium. Furthermore, a circuit is designed to realize this new hyperchaotic system by electronic workbench （EWB）. Numerical simulations are presented to show these results.

关键词： hyperchaos nonlinear feedback control Lyapunov exponents chaos circuit

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nonlinear feedback synchronisation control between fractional-order and integer-order chaotic systems

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Chinese Physics B 2010年第11期19卷 194-199页

作者：贾立新戴浩惠萌 State Key Laboratory of Electrical Insulation and Power Equipment School of Electrical EngineeringXi'an Jiaotong University

This paper focuses on the synchronisation between fractional-order and integer-order chaotic systems. Based on Lyapunov stability theory and numerical differentiation, a nonlinear feedback controller is obtained to achieve the synchronisation between fractional-order and integer-order chaotic systems. Numerical simulation results are presented to illustrate the effectiveness of this method.

关键词： chaos synchronisation fractional-order chaotic system nonlinear feedback control numerical differentiation

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Global finite-time stabilization of memristor-based neural networks with time-varying delays via hybrid control 36

Global finite-time stabilization of memristor-based neural n...

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第36届中国控制会议

作者： Yinfang Song School of Information and Mathematics Yangtze University

ISBN: (纸本)9781538629185

In this paper, the problem of finite-time stabilization for a class of memristor-based neural networks with time-varying delays is investigated by using hybrid impulsive and nonlinear feedback controllers. Based on the theory of the differential equations with discontinuous right and Lyapunov function approach, several sufficient conditions are derived to guarantee the finite-time stabilization of memristor-based neural networks. Especially, the existing criteria are improved since the impulsive control is introduced in the convergence time. Finally, the effectiveness of the obtained results is illustrated by two numerical examples.

关键词： Finite-time stabilization Impulsive control nonlinear feedback control Memristor-based neural networks Lyapunov function approach

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Spherical Formation of Regular Tetrahedra 36

Spherical Formation of Regular Tetrahedra

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第36届中国控制会议

作者： Zhang Silun He Fenghua Yao Yu Hu Xiaoming Optimization and Systems Theory Department of MathematicsKTH Royal Institute of Technology control and Simulation Center Harbin Institute of Technology

ISBN: (纸本)9781538629185

In this paper, we study the problem of tracking and encircling a moving target by agents in the 3-dimensional ***, a group of agents are driven to a regular tetrahedron formation on a spherical surface and simultaneously keep the center of this spherical formation coinciding with the target to be tracked. In the proposed method, to avoid the singularity caused by spherical parameterisations in control, we directly consider the spherical formation in space S2. Besides, the protocol proposed does not contain any information of the desired formation beforehand. Rather the constructed formation pattern is attributed to the properties of space S2 and the inter-agent topology.

关键词： Multi-agent systems formation control encircling control nonlinear feedback control

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Chaos synchronization between two different 4D hyperchaotic Chen systems

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Chinese Physics B 2007年第3期16卷 660-665页

作者：刘扬正姜长生林长圣蒋耀妹 College of Automatic Engineering Nanjing University of Aeronautics and Astronautics Nanjing 210016 China Institute of nonlinear Physics Nanjing Institute of Technology Nanjing 210013 China

This paper presents chaos synchronization between two different four-dimensional （4D） hyperchaotic Chen systems by nonlinear feedback control laws. A modified 4D hyperchaotic Chen system is obtained by changing the nonlinear function of the 4D hyperchaotic Chen system, furthermore, an electronic circuit to realize two different 4D hyperchaotic Chen systems is designed. With nonlinear feedback control method, chaos synchronization between two different 4D hyperchaotic Chen systems is achieved. Based on the stability theory~ the functions of the nonlinear feedback control for synchronization of two different 4D hyperchaotic Chen systems is derived, the range of feedback gains is determined. Numerical simulations are shown to verify the theoretical results.

关键词： nonlinear feedback control chaos synchronization the 4D hyperchaotic Chen system

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controlof Orbitand controlof Chaosina Class of Dynamic System

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Advances in Manufacturing 1999年第4期3卷 263-269页

作者： LI Gen guo (Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University) ZHU Zheng you (Shanghai Institute of Applied Mathematics and Mechanics College of Sciences, Shanghai University) Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai China Shanghai Institute of Applied Mathematics and Mechanics College of Sciences Shanghai University China

The problem of control of orbit for the dynamic system x ¨+x(1-x)(x-a)=0 is discussed. Any unbounded orbit of the dynamic system can be controlled to become a bounded periodic orbit by adding a periodic step excitation to the system. By using a nonlinear feedback control law presented in this paper the chaos of the dynamic system with excitation and damping is stabilized. This method is more effectual than the linear feedback control.

关键词： dynamic system nonlinear feedback control control of orbit control of chaos

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