摘要
为了更深刻地认识在有限源激励下圆柱罐内液体振动的复杂现象,对五维演化方程组进行了复杂动力学特征分析,包括相轨迹图、Lyapunov指数和庞加莱映射图,这些特征更深刻地揭示了一定参数下圆柱罐中液体在有限源激励下的混沌现象的本质。由于液体振动状况的改变将对激励力的构成产生反馈作用,系统的混沌运动形式会对电机的工况产生不利影响。鉴于此,利用滑模变结构法,将该系统不规则的混沌轨道控制到任取的固定点,并用MATLAB模拟验证了设计控制器的有效性。
For deeply understanding the complex phenomenon of fluid vibrations in cylindrical tanks under limited excitation, the chaotic complex dynamic characteristics of the five-dimensional evolution equations were analysed, including the space trajectory, the Lyapunov exponent and the Poincare map. These characteristics deeply reveal the essence of chaotic phenomena of the fluid in cylindrical tanks under limited excitation in certain parameters. Since the change of fluid vibration regime has a feedback influence on the process of formation of the excitation force, the chaotic motion form of the system may adversely affect the working condition of the electric motor. In view of this, the irregular chaotic orbits of the system were stabilized to arbitrary fixed points and stable periodic orbits by means of sliding mode method, and the validity of designed controller was confirmed by using MATLAB simulations.
出处
《水利与建筑工程学报》
2010年第6期76-80,共5页
Journal of Water Resources and Architectural Engineering
关键词
液体振动
激励
超混沌吸引子
混沌控制
滑模变结构控制
liquid vibration
excitation
hyper-chaotic attractor
chaos control
sliding mode control
作者简介
申滔（1988-），男（汉族），陕西汉中人，本科生，研究方向为混沌控制及其应用研究。
通讯作者：陈帝伊（1982-），男（满族），河北遵化人，博士研究生（助教），研究方向为混沌、混沌控制与同步及其应用。
