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.

Bianchini, G., Genesio, R., Parenti, A., & Tesi, A. (2001). On H-infinity control of a class of nonlinear systems. In 2001 European Control Conference (ECC) (pp.693-696). New York : IEEE [10.23919/ECC.2001.7075990].

On H-infinity control of a class of nonlinear systems

Bianchini, G.;
2001

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.
978-3-9524173-6-2
Bianchini, G., Genesio, R., Parenti, A., & Tesi, A. (2001). On H-infinity control of a class of nonlinear systems. In 2001 European Control Conference (ECC) (pp.693-696). New York : IEEE [10.23919/ECC.2001.7075990].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11365/442803