Stability and Performance of SISO Control Systems With First-Order Reset Elements

被引：107

作者：

Nesic, Dragan ^{[1
]}

Teel, Andrew R. ^{[2
]}

Zaccarian, Luca ^{[3
]}

机构：

[1] Univ Melbourne, Dept Elect & Elect Engn, Parkville, Vic 3010, Australia

[2] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA

[3] Univ Rome, Dipartimento Informat Sistemi & Prod, I-00133 Rome, Italy

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2011年 / 56卷 / 11期

基金：

美国国家科学基金会; 澳大利亚研究理事会;

关键词：

First-order reset element (FORE); homogeneus hybrid systems; temporal regularization; INTEGRATOR; PLANT;

D O I：

10.1109/TAC.2011.2114436

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 consider set-point regulation and L-2 robust stability properties of a class of reset control systems consisting of a minimum-phase relative degree-one linear SISO plant controlled by a novel first-order reset element (FORE). These results rely on necessary and sufficient conditions for exponential and L-2 finite gain stability of a class of planar reset systems consisting of a scalar linear plant controlled by the novel FORE. We show that the L-2 gain of the planar reset system decreases to zero as the pole and/or the gain of the FORE are increased to infinity. A number of stability results, including Lyapunov conditions for L-p and exponential stability, for a larger class of reset and hybrid systems are presented and used to prove our main results.

引用

页码：2567 / 2582

页数：16

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