H∞-control design for systems with multiple delays

In this paper, H-infinity-control design is developed for a class of linear dynamical systems with multiple state and input delays. Both the asymptotic stability conditions and the H-infinity-norm bound of the closed-loop transfer function are established. Feedback control synthesis is developed using state feedback. In addition, when the class of linear systems with multiple state and input delays undergoes norm-bound uncertainties, H-infinity-control synthesis is established. The developed results are conveniently cast into linear matrix inequality (LMI) framework. Simulation examples are given to illustrate the theoretical developments. (C) 1999 Elsevier Science Ltd. All rights reserved.