不确定的Lü系统的自适应Backstepping控制  

Adaptive backstepping control of uncertain Lü system

作　　者：封希媛[1] 李医民[2] 

机构地区：[1]青海民族大学计算机学院,青海西宁810007 [2]江苏大学理学院,江苏镇江212013

出　　处：《西安科技大学学报》2013年第4期466-469,共4页Journal of Xi’an University of Science and Technology

基　　金：国家自然科学基金项目(11072090)

摘　　要：混沌反控制模型Lü系统连接了著名的Lorenz系统和Chen系统,并代表了它们之间的连续演变。针对混沌系统的控制问题,已有很多控制方法。本文是针对Lü系统参数未知情形,研究了混沌控制在Lü系统中的问题,并将Lü系统转换成一种非线性的一般严格反馈形式,利用自适应Backstepping设计方法,针对Lü系统的三个未知参数,结合Lü系统的特性设计出一种新的自适应控制器,保证闭环系统全局稳定,仿真结果表明了该方法的可行性和有效性。Lu system is a chaotic anti-controlled model which connects two well-known systems： Lorenz system and Chen system, and also represents the successive evolution of them. The problem of controlling chaos in the Lti system is considered and the system can be transformed into a kind of nonlinear system in the so-called general strict-feedback form, According to Lti system parameters unknown, adaptive backstepping design is used to control the Lu system with three key paraments unknown. By the singularity characteristic of this system, a new adaptive controller is designed to make sure that the closed-loop system is stable fully. Finally, numerical simulation results are provided to show the effectiveness and feasibility of the approach.

关 键 词：Lü系统 BACKSTEPPING方法 自适应 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]