State Estimation and Stabilization of Discrete-Time Systems with Uncertain Nonlinearities and Disturbances

被引:5
|
作者
Malikov, A., I [1 ,2 ]
机构
[1] Tupolev Natl Res Tech Univ KAI, Kazan, Russia
[2] Russian Acad Sci, Kazan Res Ctr, Inst Mech & Engn, Kazan, Russia
基金
俄罗斯基础研究基金会;
关键词
nonautonomous discrete-time systems with Lipschitz nonlinearities; uncertain disturbances; state estimation; finite time boundedness; controller design;
D O I
10.1134/S0005117919110031
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Nonautonomous discrete-time control systems with uncertain nonlinearities and bounded external disturbances are considered. Based on the method of matrix comparison systems and the technique of difference linear matrix inequalities, an approach to solve the problems of state estimation, finite time boundedness with respect to given sets, the suppression of initial deviations and uncertain disturbances using a linear state feedback controller is developed. A method to design a controller with variable coefficients that guarantees the transition from one given ellipsoid to another under any disturbances bounded by the L-infinity norm is proposed.
引用
收藏
页码:1976 / 1995
页数:20
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