Feedback control of nonlinear differential algebraic systems using Hamiltonian function method

被引：0
|
作者：
Yanhong Liu
Chunwen Li
Rebing Wu
机构：
[1] Tsinghua University,Department of Automation
[2] Princeton University,Frick Laboratory
来源：
Science in China Series F: Information Sciences | 2006年 / 49卷
关键词：
nonlinear differential algebraic systems; Hamiltonian function method; dissipative Hamilton realization; stabilization; control;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The stabilization and H∞ control of nonlinear differential algebraic systems (NDAS) are investigated using the Hamiltonian function method. Firstly, we put forward a novel dissipative Hamiltonian realization (DHR) structure and give the condition to complete the Hamiltonian realization. Then, based on the DHR, we present a criterion for the stability analysis of NDAS and construct a stabilization controller for NDAS in absence of disturbances. Finally, for NDAS in presence of disturbances, the L2 gain is analyzed via generalized Hamilton-Jacobi inequality and an H∞ control strategy is constructed. The proposed stabilization and robust controller can effectively take advantage of the structural characteristics of NDAS and is simple in form.
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页码：436 / 445
页数：9
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