Proportional Plus Integral Control for Set-Point Regulation of a Class of Nonlinear RLC Circuits

被引：13
|
作者：
Castanos, Fernando [1 ]
Jayawardhana, Bayu [2 ]
Ortega, Romeo [1 ]
Garcia-Ganseco, Eloisa [2 ]
机构：
[1] Supelec, Signaux & Syst Lab, F-91192 Gif Sur Yvette, France
[2] Univ Groningen, Fac Math & Nat Sci ITM, NL-9747 AG Groningen, Netherlands
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2009年 / 28卷 / 04期
关键词：
Nonlinear networks; Passivity; Port-Hamiltonian systems; Stability; Stabilization; EQUATIONS; FORMULATION;
D O I：
10.1007/s00034-009-9103-x
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper we identify graph-theoretic conditions which allow us to write a nonlinear RLC circuit as port-Hamiltonian with constant input matrices. We show that under additional monotonicity conditions on the network's components, the circuit enjoys the property of relative passivity, an extended notion of classical passivity. The property of relative passivity is then used to build simple, yet robust and globally stable, proportional plus integral controllers.
引用
收藏
页码：609 / 623
页数：15
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