NONLINEAR FINITE-DIMENSIONAL CONTROL OF A CLASS OF NONLINEAR DISTRIBUTED PARAMETER-SYSTEMS USING RESIDUAL MODE FILTERS - A PROOF OF LOCAL EXPONENTIAL STABILITY

被引：38

作者：

BALAS, MJ ^{[1
]}

机构：

[1] UNIV COLORADO,DEPT AEROSP ENGN SCI,BOULDER,CO 80309

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1991年 / 162卷 / 01期

关键词：

D O I：

10.1016/0022-247X(91)90178-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In any attempt to control an infinite-dimensional distributed parameter system (DPS) with a finite-dimensional controller, some compensation for deleterious controller interaction with unmodeled modes is needed. We introduce the concepts of both a finite-dimensional nonlinear controller based on any reasonable, nonlinear reduced-order model of the DPS and stability compensation by a finite-dimensional, nonlinear residual mode filter. Under appropriate Lipschitz continuity conditions on the nonlinearities, this new pair of interconnected finite-dimensional systems will produce closed-loop (exponentially) stable control of the nonlinear DPS. © 1991.

引用

页码：63 / 70

页数：8

共 5 条

[1]

BALAS M, 1988, CUCSSC8805 U COL COL

[2] EXPONENTIALLY STABILIZING FINITE-DIMENSIONAL CONTROLLERS FOR LINEAR DISTRIBUTED PARAMETER-SYSTEMS - GALERKIN APPROXIMATION OF INFINITE DIMENSIONAL CONTROLLERS [J].