物理学报2011，Vol.60Issue(5)：84-91,8.
参数不定的旋转圆盘在有界扰动下混沌振动的滑模变结构控制
Sliding mode control of chaotic vibrations of spinning disks with uncertain parameter under bounded disturbance
摘要
Abstract
In order to eliminate lateral oscillation of spinning disk with uncertain parameter and dispel their adverse effect on the system performance or the working conditions of the system, supposing that the point force acting on the spinning disk is uncertain and bounded, the chaotic complex dynamic characteristics of the four-dimensional nonlinear equations in lateral oscillations of spinning disk under bounded disturbance were analyzed in view of the ubiquity of disturbance, including the space trajectory, the Lyapunov exponent and the Poincare map.These characteristics enable us to know them deeply, and indicate that the four-dimensional dynamical system contains chaotic attractor.To ensure the robustness of the system control, the author stabilized the chaotic orbits to arbitrary chosen fixed points and periodic orbits by means of sliding mode method, and MATLAB simulations were presented to confirm the validity of the controller.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 provides reference for relevant chaos control in mechanical system.关键词
旋转圆盘/混沌/滑模变结构控制/有界扰动Key words
disk/ chaos/ sliding mode control/ bounded disturbance引用本文复制引用
陈帝伊,申滔,马孝义..参数不定的旋转圆盘在有界扰动下混沌振动的滑模变结构控制[J].物理学报,2011,60(5):84-91,8.基金项目
国家自然科学基金(批准号:50879072),西北农林科技大学人才专项基金(批准号:RCZX-2009-01)资助的课题. （批准号:50879072）
