On H∞ control of a class of nonlinear systems

Author

Bianchini, Gianni ; Genesio, Roberto ; Parenti, Alessandro ; Tesi, Alberto

Author_Institution

Dipt. di Sist. e Inf., Univ. di Firenze, Florence, Italy

fYear

2001

fDate

4-7 Sept. 2001

Firstpage

693

Lastpage

696

Abstract

In this paper we consider the problem of evaluating the performance of state feedback H_∞ controllers for a class of nonlinear systems with respect to the domain of validity. The class under study is a generalization of the well-known Lur´e systems. The set of controllers is derived from a class of storage functions of the Lur´e-Postnikov type whose integral term is parameterized by a nonlinear scalar function. A geometrical interpretation of the validity domain of such controllers is proposed, along with easy-to-check conditions for global stabilization and L₂ performance requirement satisfaction. A simple test for global validity of linear controllers is also given.

Keywords

H^∞ control; linear systems; nonlinear control systems; stability; state feedback; L₂ performance requirement satisfaction; Lure system; Lure-Postnikov type function; global stabilization; linear controller; nonlinear scalar function; nonlinear system; state feedback H_∞ controller; storage function; validity domain; Aerospace electronics; Estimation; H infinity control; Nonlinear systems; Polynomials; Reliability engineering; State feedback; Control and optimization; Nonlinear H∞; Nonlinear systems; Optimal control; Robust control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2001 European

Conference_Location

Porto

Print_ISBN

978-3-9524173-6-2

Type

conf

Filename

7075990