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

被引：0
|
作者：
Ricardo Lopezlena
Jacquelien M. A. Scherpen
机构：
[1] Delft University of Technology,Delft Center for Systems and Control
来源：
Mathematics of Control, Signals and Systems | 2006年 / 18卷
关键词：
Nonlinear systems; Dissipative systems; Discrete-time systems; Controllability; Observability;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：345 / 368
页数：23
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