非线性奇异摄动系统输出跟踪控制综述

Review of the Output Tracking Control for Nonlinear Singularly Perturbed Systems

常规系统的输出跟踪控制已经取得了许多重要成果,但由于奇异摄动系统中存在的快慢跨尺度特性的影响,这些成果不能直接推广到奇异摄动系统,尤其是非线性奇异摄动系统,因此必须探讨一种新的奇异摄动系统的输出跟踪控制理论和方法。本文综述了近年来非线性奇异摄动系统的输出跟踪控制方法,分析了这些方法的原理、优势和存在的问题,指出了未来可能的研究方向。

There are many output tracking control methods for regular systems. However, due to the fast and slow characteristics in singularly perturbed systems, these methods cannot be directly expanded to the singularly perturbed systems, especially to the nonlinear singularly perturbed systems. Therefore, new theories and methods of output tracking control must be explored for singularly perturbed systems. This paper reviews the output tracking control methods for nonlinear singularly perturbed systems, analyzes the respective principles, advantages and problems, and points out the possible research directions in the future.