On the PDEs arising in IDA-PBC

被引:13
作者
Acosta, J. A. [1 ]
Astolfi, A. [2 ,3 ]
机构
[1] Univ Seville, Dept Ingn Sistemas & Automat, Escuela Tecn Super Ingn, Avda Descubrimientos S-N, Seville 41092, Spain
[2] Univ London Imperial Coll Sci Technol & Med, Dept Elect Engn, London SW7 2AZ, England
[3] Univ Roma Tor Vergata, DISP, I-00133 Rome, Italy
来源
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年
关键词
MECHANICAL SYSTEMS; STABILIZATION; INTERCONNECTION;
D O I
10.1109/CDC.2009.5400580
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The main stumbling block of most nonlinear control methods is the necessity to solve nonlinear Partial Differential Equations. In this paper we propose a methodology to replace the PDEs of Interconnection and Damping Assignment Passivity-Based Control with algebraic inequalities. The idea relies on the construction of an approximating integral and a dynamic extension as an alternative to solve the PDEs. Some connections with linear control theory and nonlinear cascade control techniques are also provided.
引用
收藏
页码:2132 / 2137
页数:6
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