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Observer design and output feedback stabilization for linear singular time-delay systems with unknown inputs

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Abstract

The design of a functional observer and reduced-order observer with internal delay for linear singular time-delay systems with unknown inputs is discussed. The sufficient conditions of the existence of observers, which are normal linear time-delay systems, and the corresponding design steps are presented via linear matrix inequality(LMI). Moreover, the observer-based feedback stabilizing controller is obtained. Three examples are given to show the effectiveness of the proposed methods.

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Authors and Affiliations

  1. School of Control Science and Engineering, Shandong University, Jinan, Shandong, 250061, China

    Peng Cui & Chenghui Zhang

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  1. Peng Cui
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  2. Chenghui Zhang
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Correspondence to Peng Cui.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 50477042), the Ph.D. Programs Foundation of Ministry of Education of China (No. 20040422052), and the National Natural Science Foundation of Shandong Province (No.Z2004G04).

Peng CUI is a Ph.D. candidate at the School of Control Science and Engineering, Shandong University. His research interests include descriptor systems, time-delay systems and optimal control.

Chenghui ZHANG is a professor at the School of Control Science and Engineering, Shandong University. His research interests include engineering optimal control, adaptive control, and power electronic and motion control.

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Cui, P., Zhang, C. Observer design and output feedback stabilization for linear singular time-delay systems with unknown inputs. J. Control Theory Appl. 6, 177–183 (2008). https://doi.org/10.1007/s11768-008-6021-6

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  • DOI: https://doi.org/10.1007/s11768-008-6021-6

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