增量式函数观测器对输入端不确定性有界扰动的稳定鲁棒性分析

观测器的稳定性证明是观测器存在的根本依据，文中在增量式函数观测器IFO-KDx成立的充要条件的基础上，探讨由于受控对象的固有特性(如不确定性、慢时变性等)使得IFO-KDx的充要条件不能给予严格保证时，其渐近稳定关系的变化。通过数学分析，论证IFO-KDx对于输入端存在不确定性有界扰动时的稳定鲁棒性。理论分析和工程实践均证明了，采用IFO-KDx设计状态反馈控制系统，不仅具有适用性和实用性，而且比起普通观测器具有较好的稳定鲁棒性，从而为观测器理论在控制工程中的创新与推广应用提供了一个重要的理论依据。 关键词： ；状态反馈控制；；；；

Analysis on Stable Robustness for Uncertain Bounded Disturbance at Input of the Incremental Function Observer

The stability of an observer is the gist that the observer comes into existence. Based on the sufficient and necessary conditions of incremental function observer IFO-KDx existence, this paper discussed what change will be happen on asymptotic stabile relationship for the IFO-KDx when its sufficient and necessary condition can not be given strict assurance due to the inherent characteristics of the controlled object such as uncertainty, slow time variable and so on. The stabile robustness was demonstrated by mathematical analysis when there is some uncertain bounded disturbance at input of IFO-KDx. Both theoretical analysis and engineering practice proved that IFO-KDx in designing state feedback control system has applicability and practicability, and has better robustness on stability compared with common observer. So an important theoretical basis has provided for the innovation and extent application of observer theory in the control project. KEY WORDS: incremental function observer; state feedback control; ; ; ; boiler- turbine coordinated control