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

被引：6
|
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
收藏
页码：345 / 368
页数：24
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