基于时延反馈精确线性化的QZS系统混沌反控制

Chaotification of QZS System Based on Exact Linearization and Time-delay Feedback Method

针对准零刚度隔振系统(QZS)混沌反控制缺乏有效手段的难题,研究了基于微分几何理论和时延反馈控制实现QZS混沌化方法.讨论了QZS系统实现精确线性化的条件,及时延反馈控制器的设计,并对控制器各个参数对系统动力学特性的影响进行了讨论,研究表明,该方法能够在小能量情况下实现QZS系统的大范围混沌化.

In order to realize the chaotification of the QZS（quasi-zero-stiffness system）, this paper presents a chaotification method for QZS system based on differential-geometry and time-delayed control method. The conditions of exact linearization of the QZS system and the design of controller are discussed. Furthermore, the feasibility and effectiveness of this method is verified by numerical simulations. The simulation results show that the time-delayed control method based on differential-geometry theory holds many favorable aspects, including using tiny control energy and chaotifying across a large range of parameter domain.