CUED Publications database

Stabilization and disturbance attenuation of nonlinear systems using dissipativity theory

Astolfi, A and Ortega, R and Sepulchre, R (2002) Stabilization and disturbance attenuation of nonlinear systems using dissipativity theory. European Journal of Control, 8. pp. 408-431. ISSN 0947-3580

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Abstract

In this paper, we survey some recent results on stabilization and disturbance attenuation for nonlinear systems using a dissipativity approach. After reviewing the basic dissipativity concept, we stress the connections between Lyapunov designs and the problem of achieving passivity by feedback. Focusing on physical models, we then illustrate how the design of stabilizing feedback can take advantage of the natural energy balance equation of the system. Here stabilization is viewed as the task of shaping the energy of the system to enforce a minimum at the desired equilibrium. Finally, we show the implications of dissipativity theory as an appropriate framework to study the nonlinear H∞ control problem. © 2002 EUCA.

Item Type: Article
Uncontrolled Keywords: Dissipativity Disturbance attenuation Nonlinear systems Stabilization
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:46
Last Modified: 08 Dec 2014 02:24
DOI: 10.3166/ejc.8.408-431