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| Received:May 12, 2004Revised:January 24, 2005 |
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| Delay-dependent H-infinity control for linear descriptor systems with delay in state |
| Fan YANG , Qingling ZHANG |
| (Institute of Systems Science , Northeastern University ,Shenyang Liaoning 110004 , China ; Department of Mathematics , Tonghua Teachers’College , Tonghua Jilin 134002 , China) |
| Abstract: |
| A delay-dependent H- infinity control for descriptor systems with a state-delay is investigated. The purpose of the problem is to design a linear memoryless state-feedback controller such that the resulting closed-loop system is regular ,impulse free and stable with an H- infinity norm bound. Firstly , a delay-dependent bounded real lemma (BRL) of the time-delay descriptor systems is presented in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by taking a new Lyapunov-Krasovsii functional. The ntroduced functional does not require bounding for cross terms , so it has less conservation.Secondly , with the help of the obtained bounded real lemma , a sufficient condition for the existence of a new delay-dependent H- infinity state-feedback controller is shown in terms of nonlinear matrix inequalities and the solvability of the problem can be obtained by using an iterative algorithm involving convex optimization. Finally , numerical examples are given to demonstrate the effectiveness of the new method presented. |
| Key words: Delay descriptor systems Delay2dependent H- infinity control Bounded real lemma (BRL) Linear matrix inequalities (LMIs) |
