液压缸非线性刚度约束系统的混沌预测及控制

Chaotic Prediction and Control of Hydraulic Cylinder Nonlinear Stiffness Constraint System

针对液压缸非线性刚度约束系统的混沌问题,建立了一种液压缸非线性刚度约束系统的动力学控制模型,通过Melnikov方法得到了液压缸非线性刚度约束系统发生Smale马蹄变换意义下混沌的临界条件。通过仿真分析发现,当线性控制参数发生变化时,系统发生混沌的临界条件也会发生变化,同时当线性控制参数增大时,系统的稳定性会得到提高。

For the chaos of nonlinear stiffness constraint system of a hydraulic cylinder, a kind of dynamic control model of hydraulic cylinder nonlinear stiffness constraint system was established. The critical conditions of chaos in nonlinear stiffness constraint system of the hydraulic cylinder in the sense of Smale＇s horseshoe transformation were obtained by Melnikov method. Through simulation analyses, it is found that when the linear control parameters are changed, the critical conditions for the occurrence of chaos in the system will also change. At the same time, the stability of the system may be improved when the linear control parameters are increased.