有界扰动下磁弹体系统的混沌振动及其滑模变结构控制  

Chaos of Magneto- Elastic System under Bounded Disturbance and its Sliding Mode Control

作　　者：王斌[1] 张建伟[1] 吴凤娇[1] 王雷[1] 朱德兰[1] 

机构地区：[1]西北农林科技大学水利与建筑工程学院,陕西杨凌712100

出　　处：《计算机测量与控制》2014年第2期393-396,共4页Computer Measurement &Control

摘　　要：为深入研究磁弹体系统的非线性动力学特征,在其对应数学模型的基础上进行复杂动力学分析得出其相轨迹图、Poincaré映射图和Lyapunov指数,这些特征加深了对其的认识,同时也证明该磁弹体系统中含有混沌吸引子;为消除系统的混沌态,基于一种滑模变结构控制方法的数学分析论证推导,将处于混沌态的磁弹体系统的状态变量x、y、z、u先后控制到任意固定点和任意周期轨道;仿真结果表明,该方法能够使系统严格地跟踪参考轨道,且具有控制的过渡时间较短、对外界干扰不敏感等优点,同时也为相关磁弹体系统混沌态的有效控制提供了借鉴。In order to study the nonlinear dynamics behavior of the magneto--elastic system, the chaotic complex dynamic characteristics of the four--dimensional nonlinear equations were analyzed, including the space trajectory, the Poincar6 map and the Lyapunov exponents. These characteristics enable us to know them deeply, and indicate that the system contains chaotic attractor. In order to eliminate the chaotic vibration, the state variables x, y, z and u could be controlled to any fixed point and any periodic orbit by means of sliding mode control method. The results show that using sliding mode method can make the system track target orbit strictly and smoothly with short transition time, and its insensitivity to noise disturbance is shown. It also provides a reference for relevant chaos control in other magneto--elastic sys- tems,

关 键 词：磁弹体系统 混沌分析 混沌控制 LYAPUNOV指数 

分 类 号：TH113[机械工程—机械设计及理论] TP273[自动化与计算机技术—检测技术与自动化装置]