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

The problem of delay‐dependent robust H∞ 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∞ 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∞ performance condition for all admissible uncertainties. The simulation results are given to illustrate the effectiveness of the proposed method. Copyright © 2009 John Wiley & Sons, Ltd.