In this note, the problem of state feedback H∞ 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∞ 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∞ 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.

Global H_inf Controllers for a Class of Nonlinear Systems / G. BIANCHINI; R. GENESIO; A. PARENTI; A. TESI. - In: IEEE TRANSACTIONS ON AUTOMATIC CONTROL. - ISSN 0018-9286. - STAMPA. - 49:(2004), pp. 244-249. [10.1109/TAC.2003.822868]

Global H_inf Controllers for a Class of Nonlinear Systems

GENESIO, ROBERTO;TESI, ALBERTO
2004

Abstract

In this note, the problem of state feedback H∞ 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∞ 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∞ 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.
2004
49
244
249
G. BIANCHINI; R. GENESIO; A. PARENTI; A. TESI
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/309916
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