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Robust ESPR Analysis and Control for Uncertain Continuous-time Descriptor Systems
Jian Liung Chen 제어·로봇·시스템학회 2010 International Journal of Control, Automation, and Vol.8 No.1
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.
An Improvement on Robust H<SUB>∞</SUB> Control for Uncertain Continuous-Time Descriptor Systems
Hung-Jen Lee,Shih-Wei Kau,Yung-Sheng Liu,Chun-Hsiung Fang,Jian-Liung Chen,Ming-Hung Tsai,Li Lee 대한전기학회 2006 International Journal of Control, Automation, and Vol.4 No.3
This paper proposes a new approach to solve robust H∞ control problems for uncertain continuous-time descriptor systems. Necessary and sufficient conditions for robust H∞ control analysis and design are derived and expressed in terms of a set of LMIs. In the proposed approach, the uncertainties are allowed to appear in all system matrices. Furthermore, a couple of assumptions that are required in earlier design methods are not needed anymore in the present one. The derived conditions also include several interesting results existing in the literature as special cases.