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Paper details
Number 2 - June 2019
Volume 29 - 2019
LMI-based robust control of uncertain nonlinear systems via polytopes of polynomials
Marcelino Sánchez, Miguel Bernal
Abstract
This investigation is concerned with robust analysis and control of uncertain nonlinear systems with parametric uncertainties.
In contrast to the methodologies from the field of linear parameter varying systems, which employ convex structures of
the state space representation in order to perform analysis and design, the proposed approach makes use of a polytopic form
of a generalisation of the characteristic polynomial, which proves to outperform former results on the subject. Moreover,
the derived conditions have the advantage of being cast as linear matrix inequalities under mild assumptions.
Keywords
robust control, uncertain systems, nonlinear systems, linear parameter-varying systems, LMIs