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Delay-dependent robust hα control for uncertain singular systems with multiple state delays

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3 Author(s)
Du, Z.P. ; Inst. of Syst. Sci., Northeastern Univ., Shenyang ; Zhang, Q.L. ; Li, Y.

The problem of delay-dependent robust H infin control for uncertain singular systems with multiple state delays has been studied. Firstly, using linear matrix inequality (LMI) approach, an improved delay-dependent criterion is given to ensure the singular system to be regular, impulse free and stable with H infin performance. Based on this criterion, the problem is solved via state feedback controller, which guarantees that the closed-loop system is not only regular, impulse free and stable, but also satisfying a prescribed H infin performance condition for all admissible uncertainties. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.

Published in:

Control Theory & Applications, IET  (Volume:3 ,  Issue: 6 )