一类不确定非线性广义系统的状态反馈鲁棒镇定  

State Feedback Robust Stabilization for a Class of Uncertain Nonlinear Descriptor Systems

作　　者：马合保[1] 贤锋[1] 

机构地区：[1]闽江学院数学系,福州350108

出　　处：《河南科学》2012年第2期145-148,共4页Henan Science

摘　　要：研究一类不确定非线性广义系统的状态反馈鲁棒镇定问题,不确定性由增益有界的摄动函数表示.基于有广义约束条件的Hamilton-Jacobi不等式,得到不确定非线性广义系统在平衡点局部渐近稳定,且是指数1的一个充分条件.进而,给出所考虑系统状态反馈鲁棒镇定控制器的一种设计方法.This paper is concerned with the state feedback robust stabilization problem of uncertain nonlinear descriptor systems. The uncertainty is described by gain bounded perturbation function on the state variables. In terms of a Hamihon-Jacobi inequality plus a generalized constraint condition, a sufficient condition is obtained for uncertain nonlinear descriptor systems to be locally asymptotically stable at the equilibrium point and to be of index one. Furthermore, the design method of desired state feedback robust stabilization controllers of the considered systems is provided.

关 键 词：非线性广义系统 不确定性 状态反馈 鲁棒镇定 HAMILTON-JACOBI不等式 

分 类 号：O231[理学—运筹学与控制论]