Title :
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
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;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
