【作者】 刘同栓；

【导师】 关新平；

【作者基本信息】 燕山大学 ， 控制理论与控制工程， 2006， 硕士

【摘要】 混沌是由确定非线性系统产生的一种极其复杂的现象,它在自然界和人类社会中普遍存在。由于其具有“蝴蝶效应”等奇异特性,使得如何有效的抑制有害混沌和引导有益混沌成为控制领域研究的热点和难点。本文在现有文献工作的基础上,在连续混沌系统的控制与同步方面做了如下工作。首先,考虑了一类参数未知混沌系统的控制问题。应用变结构控制理论结合自适应控制思想同时设计辨识器和控制器,实现了未知参数的辨识,同时将系统控制在其平衡点。其次,研究了一类满足Lipschitz条件的混沌系统基于滑模观测器的滞后同步问题。考虑了Lipschitz常数已知和未知两种情况。Lipschtiz常数未知时,借助于自适应方法实现设计目的。最后,讨论了该方法在保密通信中的初步应用。进一步,提出一类混沌系统的基于动态面控制(Dynamic SurfaceControl, DSC)的同步方法。对R?ssler系统在参数已知和未知情况下分别设计同步控制器,并将该方法应用到更一般的Lorenz系统,实现了两个Lorenz系统的同步。DSC设计方法引入一阶滤波器,克服了backstepping方法中存在的“复杂性激增”问题,设计所得控制器更为简单、易行。最后,考虑了混沌系统脉冲控制与同步问题。首先结合脉冲控制和T-S模糊模型解决了不确定时滞和非时滞混沌系统存在输出时延时的镇定问题。其次,克服了传输时延给同步控制器设计带来的困难,提出了一种新颖的脉冲同步方法。另外,实现了两个时滞混沌系统脉冲线性广义同步设计。本文方法充分考虑了输出时延和信道时延给设计带来的影响,更具实际意义。更多还原

【Abstract】 Chaos is an extremely complex common phenomenon which is generatedby a deterministic nonlinear system. It appears everywhere both in the natureand society. Since chaos has mach strange character such as “butterfly effect”,it is the hot topic and the difficult problem to depress the harmful chaos andintroduce favorable chaos. Based on the existed results, studies on the controland synchronization of continuous-time chaotic system are carried out. Themain works are listed as follows:Firstly, the variable structure control theory is applied for the problem of aclass of chaotic system with unknown parameters. It is designed combined withadaptive control method to realize the parameter identification and the systemcontrol simultaneously. The parameter identification is realized in the closedloop, and the system is stabilized at the equilibrium point.Secondly, the lag synchronization problem is considered for a class ofLipschtiz nonlinear chaotic system based on sliding mode observer design. Twocases are discussed for the Lipschitz constant. When the Lipschitz constant isunknown, the design problem is solved with adaptive control method. At thesame time, the application in secure communication of the synchronizationmethod is initially considered.Thirdly, a novel synchronization method: dynamic surface control (DSC)method is proposed to improve the performance of backstepping method.Synchronization controllers of the R?ssler system are designed respectively fortwo cases of the system parameters: known and unknown. Furthermore, theDSC method is applied to a more general chaotic system: Lorenz system. Forthe introduction of a first-order filter, this synchronization method overcomesthe problem of “explosion of complexity” in backstepping method, and thedesigned controller is much simpler and more feasible.Lastly, the problems of impulsive control and synchronization of chaoticsystem are considered. On the condition that there exists delay in the systemoutput, the impulsive control theory and the T-S fuzzy model are applied tohelp controller design for delay or non-delay chaotic systems. A novel methodfor impulsive chaos synchronization in the presence of transmit channel delayis offered. Besides, we realize the impulsive generalized synchronization ofdelay chaotic system based on nonlinear delay impulsive differential equationstability theory. All the designs are proposed after thoroughly considering theeffects of the output and channel delays, so the method has more practicalsignificance.更多还原