【作者】 李秀龙；

【导师】 刘莉；

【作者基本信息】 燕山大学 ， 检测技术与自动化装置， 2010， 硕士

【摘要】 研究混沌系统的控制不仅具有高度的理论价值,也具有深远的实际意义。自从人们发现混沌系统可以被控制以后,混沌系统的控制研究便受到了高度的重视,随后有关混沌系统控制的许多方法也不断的被提出。基于已有的控制理论,本文针对混沌系统的镇定控制和跟踪控制这两个问题做了一些工作,主要研究内容如下:首先,研究了连续混沌系统的镇定控制问题,由于混沌系统的非线性特性,直接应用最优控制理论实现连续混沌系统的控制很困难,本文考虑对混沌系统进行基于T-S模糊模型建模,通过建模后,可以针对局部线性子系统分别设计最优控制器,进而达到对混沌系统的控制,通过对Chen系统和超混沌Lorenz系统的控制仿真实验验证了该方法的控制效果。其次,研究了离散混沌系统的镇定控制问题,和连续混沌系统相似,离散混沌系统直接应用最优控制理论实现对其控制也是很困难的,本文首先利用离散系统的基于T-S模糊模型建模的方法,对离散混沌系统进行建模,然后利用最优控制理论中的离散系统的最优状态控制器设计方法,对系统进行控制器设计,以Hénon系统及广义Hénon系统的镇定控制仿真实验来验证了该方法控制效果。最后,研究了混沌系统的跟踪控制问题,为了实现受控制系统对期望混沌系统的跟踪,先提出对受控混沌系统与期望混沌系统进行基于T-S模糊模型的建模,接着根据建模后的局部子系统的对应关系,通过增广向量和增广矩阵表示后,将受控混沌系统与期望混沌系统联系起来,利用最优输出调节器的设计方法对每个系统进行控制器的设计,然后,通过对相同结构不同初始状态和不同结构不同初始状态的混沌系统的控制仿真实验证实了该方法的性能。更多还原

【Abstract】 The study of chaotic control not only is a high degree of theoretical value, but also has far-reaching practical significance. Since it is found that the chaotic systems can be controlled, the control of chaotic systems is attracting great attention, many methods of chaotic control are constantly proposed. Based on the theory,in this paper, the problems of the stabilization control of chaotic systems and the tracking control of chaotic systems are studied. The details are clarified as follows:Firstly, the stabilization control of the continuous chaotic system is studied, because of the nonlinear characteristics of chaotic systems, it is hard to directly use optimal control theory for the continuous chaos control, at first, to solve this problem, TS fuzzy model is used for chaotic system modeling in this paper, thus, optimal controller can be designed for local linear subsystems, and the chaotic system is controlled. The effective of the control method is confirmed by the simulation experiments of the Chen system and hyperchaotic Lorenz system.Secondly, the stabilization control of the discrete chaotic system is studied; And similar to continuous chaotic system, it is also difficult to directly using optimal control theory for controlling discrete chaos, in this paper, first of all, the discrete chaotic system is modeled based on TS fuzzy model, then, the optimal controller of every linear discrete subsystem is designed on the optimal control theory of discrete systems, thus the controller of the discrete chaotic system is designed, simulation experiments of the generalized Hénon system and Hénon system show the effectiveness of the method.Finally, the tracking control problem of chaotic systems is studied, in order to let a controlled system track the expected chaotic system, firstly, the two chaotic systems are modeled based on TS fuzzy model, then, according to the connection among the subsystems, the two chaotic systems are connected by the augmented vector and augmented matrix, thus, the optimal output controller of each system is designed on optimal control theory, simulation experiments of chaotic systems of the same structure with different initial states and chaotic systems of different structures with different initial states of with different initial states verify the effective of the method.更多还原