State Convergence of Passive Nonlinear Systems With an L2 Input

被引：25

作者：

Jayawardhana, Bayu ^{[1
]}

Weiss, George ^{[2
]}

机构：

[1] Univ Groningen, Fac Math & Nat Sci, Groningen, Netherlands

[2] Tel Aviv Univ, Dept Elect Engn Syst, IL-69978 Ramat Aviv, Israel

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 07期

关键词：

Disturbance rejection problem; internal model principle; invariant sets under a semiflow; passive system; STABILITY; PROPERTY;

D O I：

10.1109/TAC.2009.2020661

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We show that the state of a strictly output passive system with an L(2) input converges to zero. The result is applied to the disturbance rejection problem (with reference signal zero), where the disturbance can be decomposed into a finite superposition of sine waves of arbitrary but known frequencies and an L(2) signal. Using an LTI controller, constructed based on the internal model principle, the state trajectories of the plant (and hence also the error signal) converge to zero.

引用

页码：1723 / 1727

页数：5

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