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H ∞ control via measurement feedback for affine nonlinear systems
Author(s) -
Isidori Alberto
Publication year - 1994
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4590040409
Subject(s) - control theory (sociology) , affine transformation , nonlinear system , attenuation , stability (learning theory) , mathematics , output feedback , feedback control , state (computer science) , control (management) , computer science , engineering , pure mathematics , physics , control engineering , algorithm , quantum mechanics , artificial intelligence , machine learning , optics
Abstract This paper summarizes some recent results on the problem of disturbance attenuation via measurement feedback, with internal stability, for an affine nonlinear system. The solution of the problem is shown to be related to the existence of solutions of a pair of Hamilton‐Jacobi inequalities in n independent variables, associated with state feedback and, respectively, output‐injection design.