Design of robust stable controls for nonlinear objects

Authors:
V. M. Kuntsevich;A. V. Kuntsevich
Affiliations:
Institute of Space Research, National Academy of Sciences and National Space Agency, Kiev, Ukraine;V.M. Glushkov Institute of Cybernetics, National Academy of Sciences, Kiev, Ukraine
Venue:
Automation and Remote Control
Year:
2008

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Abstract

We consider a problem of discrete control for a class of nonlinear time-varying objects. Only set estimations for object parameters are available. The aim is to design controls that ensure robust stability of closed-loop systems in a given domain of state space. Since the considered class of objects is large enough not to have a stabilizing control, the proposed design method has to verify at the last step if the obtained conditions of robust stability are satisfied for a nonlinear system "in a given domain."