KYP LEMMA, STATE-FEEDBACK AND DYNAMIC OUTPUT-FEEDBACK IN DISCRETE-TIME BILINEAR-SYSTEMS

被引：43

作者：

LIN, W ^{[1
]}

BYRNES, CI ^{[1
]}

机构：

[1] WASHINGTON UNIV,DEPT SYST SCI & MATH,ST LOUIS,MO 63130

来源：

SYSTEMS & CONTROL LETTERS | 1994年 / 23卷 / 02期

基金：

美国国家科学基金会;

关键词：

DISCRETE-TIME BILINEAR SYSTEMS; PASSIVITY; GLOBAL STABILIZATION; STATE FEEDBACK; DYNAMIC OUTPUT FEEDBACK;

D O I：

10.1016/0167-6911(94)90042-6

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper shows how a generalization of the Kalman-Yacubovitch-Popov (KYP) lemma can be built for discrete-time bilinear passive systems, and how the concepts of passivity and feedback equivalence can be applied to solve the problem of global stabilization via smooth state feedback, bounded state feedback and dynamic output feedback for a class of discrete-time bilinear systems. The results generalize some recent advances due to Gauthier and Kupka (1992) in continuous-time bilinear systems to their discrete-time counterparts.

引用

页码：127 / 136

页数：10

共 11 条

[1] LOSSLESSNESS, FEEDBACK EQUIVALENCE, AND THE GLOBAL STABILIZATION OF DISCRETE-TIME NONLINEAR-SYSTEMS [J].