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Relaxed LMI Condition for Output Feedback Guaranteed Cost Control of Uncertain Discrete-Time Systems

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Abstract

This paper studies the output feedback guaranteed cost control for a class of uncertain discrete-time systems. The uncertainty is of the linear fractional form. A new relaxed LMI condition is given based on a recently developed stability condition. An extra variable is introduced to obtain a less conservative result. The effectiveness of the method is illustrated with an example to compare with previous results.

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Authors and Affiliations

  1. Lecturer, School of Electrical Engineering and Automation, Tianjin University, Tianjin, P. R. China

    Z. Q. Zuo & Y. J. Wang

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  1. Z. Q. Zuo
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  2. Y. J. Wang
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This work was supported in part by the National Science Foundation of China, Grant 10472001.

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Zuo, Z.Q., Wang, Y.J. Relaxed LMI Condition for Output Feedback Guaranteed Cost Control of Uncertain Discrete-Time Systems. J Optim Theory Appl 127, 207–217 (2005). https://doi.org/10.1007/s10957-005-6401-8

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  • DOI: https://doi.org/10.1007/s10957-005-6401-8

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