Robust ... control for singular systems with state delay and parameter uncertainty

This paper considers the problem of robust ... control for uncertain continuous singular systems with state delay. The parametric uncertainty is assumed to be norm bounded. By using the linear matrix inequality (LMI) approach, a sufficient condition is presented for a prescribed uncertain singular s...

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Veröffentlicht in:Advances in difference equations 2015-12, Vol.2015 (1), p.1-9
Hauptverfasser: Sun, Yeping, Kang, Yuxiao
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper considers the problem of robust ... control for uncertain continuous singular systems with state delay. The parametric uncertainty is assumed to be norm bounded. By using the linear matrix inequality (LMI) approach, a sufficient condition is presented for a prescribed uncertain singular system with time-delay to have generalized quadratic stability and ... performance. Furthermore, the design methods of state feedback controllers are considered such that the resulting closed-loop system has generalized quadratic stability with ... performance. By means of matrix inequalities, sufficient conditions are derived for the existence of memory-less and memorial static state feedback controllers. The controllers are obtained by the solutions of matrix inequalities.
ISSN:1687-1839
1687-1847
DOI:10.1186/s13662-015-0433-7