不确定非线性系统的鲁棒镇定  

ROBUST STABILIZATION OF NONLINEAR SYSTEMS WITH STRUCTURAL UNCERTAINTY

作　　者：莫立坡[1] 

机构地区：[1]北京航空航天大学理学院数学,信息与行为教育部重点实验室,北京100083

出　　处：《陕西科技大学学报（自然科学版）》2008年第3期148-152,共5页Journal of Shaanxi University of Science & Technology

基　　金：国家自然科学基金资助课题(项目号:60473109)

摘　　要：对于一类具有不确定项的非线性系统,研究了其鲁棒镇定问题.基于鲁棒控制Lya-punov函数和Hamilton-Jacobi不等式,分别给出了使得闭环系统渐近稳定的两个充分条件.并且设计了一般的反馈控制器(包括状态及其导数)和状态反馈控制器来全局镇定闭环系统的平衡点.This technical note is devoted to the robust stabilization problem for a class of nonlinear systems with structrual uncertainty. Based on the robust control Lyapunov function and Hamilton-Jacobi inequality, two new sufficient conditions are obtained respectively such that the closed-loop systems are globally asymptotically stable. In addition,general feeedback controller （including the state and its derivative） and state feedback controller are both designed to globally stabilize the equilibrium of the closed-loop systems.

关 键 词：非线性系统 不确定性 鲁棒控制Lyapunov函数 HAMILTON-JACOBI不等式 鲁棒镇定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]