Delay-dependent robust H∞ control for uncertain descriptor systems with multiple state delays

The problem of delay-dependent robust H-infinity control for uncertain descriptor systems with multiple state delays is investigated First, in terms of linear matrix inequality (LMI) approach, a delay-dependent criterion is given to ensure that the descriptor system is regular, impulse free and stable with H-infinity performance. Based on this criterion, the problem is solved by state feedback controller, which guarantees that the closed-loop system is regular, impulse free, stable and satisfies a prescribed H-infinity performance condition for all admissible uncertainties. The simulation results are given to illustrate the effectiveness of the proposed method. Copyright (C) 2009 John Wiley & Sons, Ltd.