Derivative based control for LTV system with unknown parameters

This paper deals with the robust stabilization of a class of linear time varying systems. Instead of using a state observer or having dynamic structure, the controller is based on output derivative estimation. This allows the stabilization of linear time varying systems with very large parameter variation and a small number of controller parameters. The proof of stability is based on the polytopic representation of the closed loop and Lyapunov conditions. The result is proposed in a LinearMatrix Inequality (LMI) form. The validity of this approach is illustrated by a second order system case of study.