基于状态预估的非线性时滞系统控制的分步设计

The Controller Design Method for a Class of Nonlinear Time-delay Systems Based on Staged Transformation Technique

研究了非线性时滞系统基于状态预估和分步设计思想的稳定化控制器设计问题。针对一类单控制滞后的仿射非线性时滞系统,利用非线性状态变换得到—简单的中间非线性时滞系统模型,引入带有将来预估值的非线性状态反馈,得到一线性时滞系统模型,并利用一带有控制记忆的积分变换进行精确无滞后化变换,最后得到一无滞后的线性能控型系统,从而利用分步设计的思想,实现非线性时滞系统的稳定化控制。最后通过一数值例子的仿真说明了该方法的有效性。

A stabilizing controller design approach for a class of nonlinear time - delay systems based on staged transformation and design technique is studied. For a single -input nonlinear time -delay system, a linear time -delay model is obtained by a nonlinear state transformation, a delay -free transformation is then introduced to transform the linear time -delay model into a linear controllable system without delay. The sta-bilizing controller to the primitive nonlinear time-delay system is derived via a staged design method. The simulation result of a example shows that this approach is quite effective.