Robust Stabilization of Linear Delay Systems via the Structured Singular Value

ABSTRACT In this article, the robust stabilization problem of linear delay systems with parametric uncertainties is investigated. First, by means of the state transition matrix and the structured singular value, a sufficient condition for the robust stability of linear delay systems is proposed for robust controller design. Then, based on this proposed sufficient condition, the robust control problem is transformed into a constrained optimization problem and the feedback gain matrices can be obtained by solving this optimization problem. Finally, numerical examples are given to illustrate the effectiveness of the proposed algorithm.