Gain Scheduled Control System Synthesis Based on Polynomial-Type Parameter-Dependent Lyapunov Variables

Abstract

To design gain scheduled controllers in a less conservative fashion, a dilated-LMI-based approach has been proposed recently. However, this approach is still conservative due to the use of multi-affine parameter-dependent Lyapunov variables. In this paper, we revisit the dilated LMI condition and provide a yet less conservative design method that enables us to design gain scheduled controllers via polynomial-type parameter-dependent Lyapunov variables.