Stabilization and disturbance attenuation of nonlinear systems using dissipativity theory

• AUTHORS: A. Astolfi, R. Ortega, R. Sepulchre.
• ABSTRACT: In this paper we survey some recent results on stabilization of nonlinear systems using a passivity approach. In the first part of the paper we treat general state--space systems and present the basic ideas underlying the recursive passivation designs. In the second part we center our attention on the particular, but practically important, class of Euler--Lagrange systems. In the third part we deal with disturbance attenuation problems and we discuss the nonlinear $H_\infty$ control problem.
• STATUS: This survey paper will appear in the monograph 'Control of Complex Systems' (eds. K. Aström, P. Albertos, M. Blanke, A. Isidori). Springer-Verlag, London, 39 pages. It has also been submitted for publication in European Journal of COntrol, January 2000.

• Paper: PS file.