An LMI approach to robust H-infinity control for uncertain singular time-delay systems |
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Authors: | Xiaofu JI Hongye SU Jian CHU |
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Affiliation: | Institute of Advanced Process Control, Zhejiang University, Hangzhou Zhejiang 310027, China |
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Abstract: | The problem of robust H-infinity control for a class of uncertain singular time-delay systems is studied in this paper. A new approach is proposed to describe the relationship between slow and fast subsystems of singular time- delay systems, based on which, a sufficient condition is presented for a singular time-delay system to be regular, impulse free and stable with an H-infinity performance. The robust H-infinity control problem is solved and an explicit expression of the desired state-feedback control law is also given. The obtained results are formulated in terms of strict linear matrix inequalities (LMIs) involving no decomposition of system matrices. A numerical example is given to show the effectiveness of the proposed method. |
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Keywords: | Robust H-infinity control Singular system Time-delay Linear matrix inequality (LMI) |
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