混沌范德玻-杜芬系统参数自适应反步设计  

Parameter adaptive stabilization for chaotic ADVP systems based on back-stepping approach

作　　者：何汉林[1] 涂建军[1] 熊萍[1] 

机构地区：[1]海军工程大学理学院,湖北武汉430033

出　　处：《华中科技大学学报（自然科学版）》2011年第7期92-94,共3页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60974136)

摘　　要：针对一类具有多个未知参数的混沌ADVP(范德玻-杜芬)系统,设计自适应镇定控制器.基于反步法思想,对所有未知参数设计自适应估计律,结合反步思想为一类不确定混沌系统设计自适应控制器.设计出的控制器只需施加于一个子系统,使得控制的实现更加方便.整个设计过程只须作一次极点配置和求解一个李雅普诺夫方程,简化了计算,得到了简单且易实现的标量控制器.仿真结果表明:受控系统能快速达到收敛.A kind of adaptive stabilizing controller was designed for a class of chaotic ADVP （van der Pol-Duffing circuit） systems with multiple unknown parameters. Based on back-stepping approach, the adaptive estimations were given for all unknown parameters, and then a kind of adaptive controller was obtained for the uncertain chaotic system. The given controller only needs acting to a subsystem, which is convenient for realization. Only a simple pole assignment and the solving of a Lyapunov equation are required to derive the controller, which simplifies the calculation. The simulations indicate that the controlled system can convergent rapidly.

关 键 词：范德玻一杜芬系统 混沌 模糊控制 反步法 自适应镇定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]