Global H∞ controllers for a class of nonlinear systems

被引：14

作者：

Bianchini, G

Genesio, R

Parenti, A

Tesi, A

机构：

[1] Sclavo Res Ctr, Dipartimento Ingn Informaz, I-53100 Siena, Italy

[2] Univ Florence, Dipartimento Sistemi & Informat, I-50139 Florence, Italy

[3] Univ Florence, Dipartimento Ingn Agrariae Forestale, I-50139 Florence, Italy

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2004年 / 49卷 / 02期

关键词：

control and optimization; nonlinear H(infinity) control; nonlinear systems; optimal control; robust control;

D O I：

10.1109/TAC.2003.822868

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this note, the problem of state feedback H(infinity) control for a class of nonlinear systems is considered. The class under study is a generalization of the well-known Lur'e systems. The H(infinity) problem is addressed via a class of storage functions of the Lur'e-Postnikov type whose integral term is parameterized by a nonlinear scalar function. The related H(infinity) controllers consist of a linear term, which is designed for the underlying linearized system, plus a nonlinear term which depends on the nonlinear function. A simple geometrical criterion is provided for the characterization of the set of controllers which ensure a given level of L(2)-performance globally. Some guidelines for an effective design of the controller within this set are discussed via two examples.

引用

页码：244 / 249

页数：6

共 9 条

[1]

Bianchini G., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P3776, DOI 10.1109/CDC.1999.827942

[2]

BIANCHINI G, 2003, 0803 U SIEN DIP ING

[3]

BIANCHINI G, 2001, P EUR CONTR C 2001 P, P693

[4] H-INFINITY CONTROL VIA MEASUREMENT FEEDBACK FOR GENERAL NONLINEAR-SYSTEMS [J].