中文摘要：

通过对三通阀控液压缸数学模型进行分析探讨,得到了一个非线性三阶系统,将该系统去掉一非线性项,发现了一个新的三阶混沌系统。分析给定参数值时系统相图和Lyapunov指数谱图,证实了该系统取特定值时为混沌状态;系统分岔图展示了该系统随所定参数变化走向混沌的道路。由于混沌现象对实际控制系统多是有害的,故需要寻求合适的控制策略来控制系统,以保证系统达到稳定状态,根据李雅普诺夫指数分配的方法,能够推导出能使该混沌系统镇定的控制器,且该控制器能使混沌系统镇定到期望状态。

英文摘要：

By analyzing three-way valve controlled hydraulic cylinder model,a new third order nonlinear system is obtained,removing a nonlinear term,a new third order chaotic system is presented. The chaos of the system can be verified by the spectrum of the Lyapunov exponents and phase diagram with the specific values and the bifurcation of system shows that the routes of chaos vary with the specific parameters. Due to the chaotic phenomena of actual control system being more harmful,a right control strategy should be found in order to ensure the system to reach steady state. The controller for the stabilization of system can be deduced by the distribution of the Lyapunov exponent,and the controller can make the chaotic system go to the desired state.