一类高阶非线性系统的几乎干扰解耦问题

对于一类高阶下三角形结构的非线性系统内稳几乎干扰解耦问题 ( ADD)的可解性 ,本文按 L2 —L2 p增益 ,使用“加幂积分器”方法 ,没有对系统中的函数作任何增长性条件限制 ,证明了文中非线性系统的ADD问题有一个连续状态反馈解 .并且可以显式解出此连续状态反馈控制器使得干扰对输出的影响可限制到任一精度且保持系统内稳 .

Almost Disturbance Decoupling for a Class of High-Order Nonlinear Systems

The problem of almost disturbance decoupling with internal stability (ADD) is formulated, in terms of an L 2-L 2p , for a class of high-order nonlinear systems which consist of a chain of power integrators perturbed by a lower-triangular vector field. Using adding a power integrator technique, we solve the ADD problem via static continuous state feedback without imposing any growth condition. We also show how to explicitly construct a continuous state feedback controller that attenuates the disturbance′s effect on the output to an arbitrary degree of accuracy, with internal stsbility.