A new linear matrix inequality condition for robust D-stabilizing proportional-derivative state-feedback controller design of polynomial matrix polytopes

Abstract

This paper investigates the problem of robust D-stabilization for polynomial matrix polytopes. By employing proportional-derivative (PD) state-feedback controllers, a new sufficient condition is formulated in terms of a linear matrix inequality (LMI) feasibility problem. Example is given to demonstrate the validity and efficiency of the proposed approach.