Energy functions for dissipativity-based balancing of discrete-time nonlinear systems

被引：5

作者：

Lopezlena, Ricardo ^{[1
]}

Scherpen, Jacquelien M. A. ^{[1
]}

机构：

[1] Delft Univ Technol, Delft Ctr Syst & Control, NL-2628 CD Delft, Netherlands

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2006年 / 18卷 / 04期

关键词：

nonlinear systems; dissipative systems; discrete-time systems; controllability; observability;

D O I：

10.1007/s00498-006-0007-z

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Most of the energy functions used in nonlinear balancing theory can be expressed as storage functions in the framework of dissipativity theory. By defining a framework of discrete-time dissipative systems, this paper presents existence conditions for their discrete-time energy functions along with algorithms to find them based on dynamic optimization problems. Furthermore, the important case of the nonlinear discrete-time versions of the controllability and observability functions, its properties and algorithms to find them are presented. These algorithms are illustrated with linear and nonlinear examples.

引用

页码：345 / 368

页数：24

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