State-feedback Stabilization of Sector-bounded Lur´e Systems

This paper presents a stability criterion for sector restricted Lur´e systems via the proposed Lyapunov function of Lur´e Postnikov type and transforms it into a state-feedback stabilization criterion, which is in fact non-convex. Introducing a relaxation technique associated with some tuning variables leads to an iterative procedure for obtaining a controller from the criterion. Examples show the resulting controller outperforms the controllers in the literature