Characterization of all nonlinear stabilizing controllers via observer-based kernel representations

Authors:
Kenji Fujimoto;Toshiharu Sugie
Affiliations:
Department of Systems Science, Graduate School of Informatics, Kyoto University, Uji, Kyoto 611-0011, Japan;Department of Systems Science, Graduate School of Informatics, Kyoto University, Uji, Kyoto 611-0011, Japan
Venue:
Automatica (Journal of IFAC)
Year:
2000

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Abstract

This paper deals with the characterization of all nonlinear stabilizing controllers. Observer-based kernel representations are introduced to avoid the difficulty which occurs in constructing the state-space realizations of the parametrization of input-output operators. The parametrization of all stabilizing controllers for a given plant and a class of stabilizing plant-controller pairs are derived by employing observer-based kernel representations. Furthermore, the relationship between the results via kernel representation approach and the existing results via state-space approach is clarified.