%0 Journal Article
%T Robust state-feedback controller for linear parameter-varying systems with time-invariant uncertainties
%J Scientia Iranica
%I Sharif University of Technology
%Z 1026-3098
%A Asrari, H.
%A Mohammadzaman, I.
%A Allahverdizadeh, F.
%D 2023
%\ 06/01/2023
%V 30
%N 3
%P 1148-1157
%! Robust state-feedback controller for linear parameter-varying systems with time-invariant uncertainties
%K Linear parameter-varying
%K Robust state-feedback
%K Uncertain time-varying parameters
%K Time-invariant parametric uncertainties
%K Gain-scheduling
%R 10.24200/sci.2021.56871.4953
%X In this paper, the robust gain-scheduled state-feedback controller problem is studied for uncertain linear parameter-varying systems whose state-space representations are the linear combination of the uncertain time-varying parameters including time-invariant parametric uncertainties (TIPU). It is supposed that these uncertainties are bounded by the given intervals and cannot be pulled out as an uncertain block. It is considered a serious challenge because the exact information about the plant dynamics cannot be extracted from the uncertain time-varying parameters. This is while; the gain-scheduled controllers need to have the exact information about the plant dynamics to satisfy the desired control purposes. To handle this challenge, we introduce a state-feedback gain, which is formed by a set of the new scheduling parameters and a secondary time-varying term. The stabilization conditions are obtained in terms of the linear matrix inequalities (LMIs). The effectiveness of the proposed method is shown using an example.
%U https://scientiairanica.sharif.edu/article_22545_190fdedbb78a2d5a4ad380ef4f3aac72.pdf