Practical L2 disturbance attenuation for nonlinear systems |
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| Authors: | Alain Rapaport Alessandro Astolfi |
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| Affiliation: | a Laboratoire d'Analyse des Systèmes et de Biométrie, INRA, 2 pl. Viala, 34060 Montpellier, France
b Dipartimento di Elettronica e Informazione, Politecnico di Milano, Piazza L. da Vinci 32, 20133 Milano, Italy and Electrical Engineering Department, Imperial College Exhibition Road, London SW7 2BT, UK |
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| Abstract: | In this work, a notion of generalized L2-gain for nonlinear systems, where the gain is considered as a function of the state instead of a (global) constant, is presented. This new notion seems to be adequate to characterize the gain properties of several nonlinear systems which do not possess a uniform L2-gain property (i.e. the L2-gain depends on the operating point). Moreover, a notion of practical L2-gain attenuation, which extends the standard definition and parallels (mutatae mutandis) the concepts of practical stability, is also proposed. |
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| Keywords: | Nonlinear systems Disturbance rejection H-infinity control Robust stability |
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