Abstract
In this paper, a strict linear matrix inequality (strict LMI) condition for extended strictly positive real (ESPR) characterization of continuous-time descriptor systems with norm-bounded uncertainty is addressed. Based on it, necessary and sufficient condition for dynamic output feedback controller such that robustly stabilize the uncertain descriptor system and make the entire class of uncertain closed-loop transfer matrices achieve the ESPR property is also derived. Finally, a numerical example is illustrated the proposed results.
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Recommended by Editorial Board member Duk-Sun Shim under the direction of Editor Jae Weon Choi.
Jian Liung Chen received the Ph.D. degree in Electrical Engineering from National Sun Yat-Sen University, Taiwan in 2003. Currently, he is an assistant professor of Department of Electrical Engineering, Kao-Yuan University, Lu-Chu Hsiang, Kaohsiung, Taiwan, where has been since 2005. His research interests include LMI approach in control, robust control, and descriptor system theory.
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Chen, J.L. Robust ESPR analysis and control for uncertain continuous-time descriptor systems. Int. J. Control Autom. Syst. 8, 8–15 (2010). https://doi.org/10.1007/s12555-010-0102-2
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DOI: https://doi.org/10.1007/s12555-010-0102-2