不连续机械系统混沌运动的控制

首先指出：预紧弹性约束，干摩擦等不连续力学因素将导致系统Ｐｏｉｎｃａｒｅ映射在控制目标附近不可微，故ＯＧＹ等控制策略无法胜任这类系统的混沌运动控制。为控制这类系统的混沌运动，提出了由实验数据区分所合Ｐｏｉｎｃａｒｅ映射以及分区进行极点配置形成控制策略。对具有预紧弹性约束的受迫振子的仿真实验表明，这种控制策略是成功的。

CONTROLLING CHAOTIC MOTION OF A DISCONTINUOUS MECHANICAL SYSTEM

It is shown that the Poincare mapping of a discontinuous mechanical system is not smooth near some fixed points so that the well-known OGY strategy fails to control the chaotic motion of the system. Thus, a piecewise Iinear control strategy is proposed, which is based on the piecewise linearized Poincare mapping reconstructed from the sampled data and on the assignment of poles in two regions near the fixed point. The efficacy of the strategy is demonstrated through an example of controlling the chaotic motion of a harmonically forced oscillator with a set-up elastic stop.