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Chaotic synchronization via linear controller

Chinese Physics B 2007年第4期16卷 937-941页

作者：陈凤祥张卫东 Department of Automation Shanghai Jiaotong University Shanghai 200240 China

A technical framework of constructing a linear controller for chaotic synchronization by utilizing the stability theory of cascade-connected system is presented. Based on the method developed in the paper, two simple and linear feedback controllers, as examples, are derived for the synchronization of Liu chaotic system and Duffing oscillator, respectively. This method is quite flexible in constructing a control law. Its effectiveness is also illustrated by the simulation results.

关键词： linear controller chaotic synchronization Liu system Duffing oscillator

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A new kind of nonlinear fractional-order chaotic phenomenon in coupled systems： coexistence of anti-phase and complete synchronization

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Chinese Physics B 2011年第8期20卷 90-96页

作者： Zhang Jun-Feng Pei Qiu-Yu Zhang Xiao-Li Department of Computer Science and Engineering Henan University of Urban Construction Pingdingshan 467036 China The Aeronautical Science Key Laboratory for Smart Material and Structures Nanjing University of Aeronautics and Astronautics Nanjing 210016 China

In this paper, we have found a kind of interesting nonlinear phenomenon hybrid synchronization in linearly coupled fractional-order chaotic systems. This new synchronization mechanism, i.e., part of state variables are anti- phase synchronized and part completely synchronized, can be achieved using a single linear controller with only one drive variable. Based on the stability theory of the fractional-order system, we investigated the possible existence of this new synchronization mechanism. Moreover, a helpful theorem, serving as a determinant for the gain of the controller, is also presented. Solutions of coupled systems are obtained numerically by an improved Adams Bashforth-Moulton algorithm. To support our theoretical analysis, simulation results are given.

关键词： fractional-order unified chaotic system hybrid synchronization linear controller singledrive variable

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A new color image encryption scheme based on chaos synchronization of time-delay Lorenz system

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Advances in Manufacturing 2016年第4期4卷 348-354页

作者： Hua Wang Hang-Feng Liang Zhong-Hua Miao Shanghai Key Laboratory of Power Station AutomationTechnology School of Meehatronic Engineering andAutomation Shanghai University Shanghai 200072People's Republic of China

In this paper, a new image encryption scheme is presented based on time-delay chaos synchronization. Compared with existing methods, a new method is pro- posed and a lot of coupled items can be taken as zero items to simplify the whole system. A simple linear controller is introduced to realize time-delay chaos synchronization and image encryption. The positions of the image pixels are firstly shuffled and then be hidden in the cartier image. The address codes of the chaotic sequences are adopted to avoid the disturbances induced by the initial value and computer accuracy error. Simulation results for color image are provided to illustrate the effectiveness of the proposed method. It can be seen clearly that the system can converge quickly and the image can be encrypted rapidly.

关键词： Delay chaotic system Chaos synchronization linear controller Color image encryption Address code

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Robust Output Tracking controller Design for a Class of Uncertain MIMO Nonlinear Systems

Robust Output Tracking Controller Design for a Class of Unce...

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第二十九届中国控制会议

作者： YU Yao1,SHI Zongying1,ZHONG Yisheng1,2 1.Department of Automatic Control,Tsinghua University,Beijing 100084,P.R.China 2.Tsinghua National Laboratory for Information Science and Technology,Tsinghua University,Beijing 100084,P.R.China

A new control design method based on signal compensation is proposed for a class of uncertain multi-input multi-output（MIMO）nonlinear systems in block-triangular form with nonlinear uncertainties,external disturbances,unknown virtual control coefficients and strongly coupled *** this method,the controller design is performed in a backstepping *** each step of backstepping procedure,a nominal virtual controller is first designed to get desired output tracking for the nominal disturbance-free subsystem,and then a robust virtual compensator is designed to restrain the effect of the uncertainty,disturbance involved in the subsystem and couplings among the *** is proved that global robust stability and global robust practical tracking property of the closed-loop system can be ensured and the tracking errors can be made as small as *** trait of our approach is that the designed controller is linear and time-invariant,so the explosion of terms in the control law is avoid.

关键词： MIMO Backstepping Robust Control Output Tracking linear controller

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Parameter Optimization for linear and Quadratic Feedback controllers

Parameter Optimization for Linear and Quadratic Feedback Con...

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第二十九届中国控制会议

作者： HAO Yongjiang,WANG Taiyong Mechanical Manufacture and Automation,Tianjin University,Tianjin 300072,P.R.China

This paper presents two full-state feedback parametric controllers,linear controller and quadratic *** are tested in swing up model and perturbed bipedal standing balance example for unconstraint and constraint *** link model and two link model are employed to discuss the differences between the proposed *** parameters of each controller and each example are optimized with different optimization *** performances of each one are also shown in simulated environment to validate the effectiveness of the proposed controllers.

关键词： linear controller Quadratic controller Parameter Optimization

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