【作者】 刘明；

【导师】 王兴元；

【作者基本信息】 大连理工大学 ， 计算机应用技术， 2006， 硕士

【摘要】 本文利用理论推导和数值模拟相结合的方法研究了混沌控制及混沌同步中的相关问题,取得了如下成果: 分析了一类具有扇区非线性输入且含有参数不确定性以及外部噪声干扰的主从混沌系统的同步控制问题。设计了一类同步滑模变结构控制器,并从理论上证明了该控制器的有效性。研究表明该控制器不受受控系统的参数变化和噪声干扰的影响,具有很强的鲁棒性。通过对主从Duffing-Holmes系统的仿真研究,验证了该控制器的有效性。 设计了具有扇区非线性和死区的多输入的不确定Lorenz系统的滑模变结构控制器,并从理论上证明了该控制器的有效性。在该控制器作用下,受控Lorenz系统可以迅速地到达任意目标轨道,并且不受输入的扇区非线性和死区、参数的不确定性以及外部噪声的影响,具有很强的鲁棒性,并通过仿真实验验证了该控制器的有效性。 提出了一类控制输入具有扇区非线性和死区的不确定主从混沌系统的同步控制方法,设计了滑模变结构控制器,并从理论上证明了该控制器能够快速、有效地实现此类主从混沌系统的同步化,并且不受输入非线性、死区以及外部噪声等因素的影响,具有很强的鲁棒性。通过对主从Chen系统的自同步和Lü系统与Chen系统的异结构同步的仿真研究,验证了该控制器的有效性。 研究了一类异结构混沌系统的同步问题,实现了异结构的从系统与参数不确定主系统的同步追踪。利用所设计的自适应控制器,受控的Lü系统能够快速地达到与参数未知的R(?)ssler系统的同步化,受控的Lorenz系统与Lü系统分别能够快速地达到与参数未知的Chen系统的同步化。更多还原

【Abstract】 The relative problems of chaos control and chaos synchronization are studied in this thesis using the methods of theoretical derivation and numerical simulation. The main achievements contained in the research are as follows:Synchronization control for a class of master-slave chaotic systems with parameter uncertainties, external noise disturbances and sector nonlinear input is analyzed. It designs a class of sliding mode controllers testifying theoretically that the effectiveness of the controller is beyond the impact from the parameter uncertainties and external noise disturbances of the system under control and thus it is of strong robust nature. The effectiveness of this controller is proved by numerical simulations for the master-slave Duffing-Holmes systems.Controller for uncertain Lorenz system with multiple inputs containing sector nonlinearities and deadzones is designed, its effectiveness is demonstrated theoretically. By this controller, the controlled Lorenz system can asymptotically drive the system orbits to arbitrarily objective trajectories, even .with, parameter uncertainties, sector nonlinearities and deadzones in the inputs, and the external noise. Thus it has strong robustness, and the effectiveness is proved by numerical simulations.A method of synchronization control for a class of uncertain master-slave chaotic systems with sector nonlinear inputs containing deadzones is proposed, and a sliding mode controller is designed. It theoretically demonstrates that, by this controller, the controlled master-slave chaotic systems can be synchronized quickly and effectively, even with uncertainties, sector nonlinearities and deadzones in the inputs, thus have strong robustness. Through the numerical simulations of the synchronization of Chen system with itself and with another Lu system, it demonstrates the effectiveness of this controller.Synchronization for a class of different chaotic systems is researched, and the synchronization of the slave system and the different master system with uncertain parameters is achieved. By the designed adaptive controller, the controlled Lii system can quickly synchronize to the Rossler system with uncertain parameters, and the controlled Lorenz system and Lu system can quickly and respectively synchronize to the Chen system with uncertain parameters.更多还原