最速反馈控制的不变性

变结构控制对系统模型和扰动具有一定的不变性是众所周知的事实。最速反馈控制是以其开关曲线为滑动曲线的变结构控制。本文用变结构控制理论来讨论修正了的最速反馈控制对一定范围的系统扰动具有完全的不变性,即完全能够抑制一定范围的扰动作用,而且闭环系统的所有轨线,在理论上,都以有限时间到达原点。这就为设计高效非线性反馈提供了一条有效途径,还给出了避免高频颤震来实现最速反馈控制的数字化办法。

INVARIABILITY OF TIME OPTIMAL FEEDBACK CONTROL

It's well-known that variable structure control is invariable for the system parameter variation and unmodelled dynamical uncertainties to some extent. The time optimal feedback control is one of variable structure controls, whose sliding-curve is its switching-curve. Based on variable structure control theory, that the time optimal feedback control is invariable for the system parameter altering within some limit is analyzed and is rectified as that it not only can restrain the disturbance within some boundry, but also make all the trajectory of the closed loop system arrive at the origin in finite time in the theory. So a method of designing efficient nonlinear feedback is given, and a digital technique of realizing the time optimal feedback control and avoiding chatting of high frequency is presented.