Brief Robust regulation with minimal parametrization for a class of nonlinear systems

Authors:
Giovanni L. Santosuosso
Affiliations:
D.A.E.I.I.M.I., Università degli Studi di Cassino, Via G. Di Biasio 43 I-03043 Cassino (FR), Italy
Venue:
Automatica (Journal of IFAC)
Year:
1999

Citing 7
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Abstract

A class of nonlinear systems that are affected by unknown, unmodelled time-varying parameters which enter linearly in the system, whose bounds are unknown is considered. A systematic procedure is developed for the synthesis of robust regulation state feedback laws whose dynamics are minimal, i.e. it consists of a single integrator and a smooth nonlinear mapping, using as a key tool the so-called ''Small Gain Theorem''. The proposed scheme substantially improves previous solutions, in which the regulator's dynamics order was equal to the space dimension.