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Zbl 0881.93024
Masubuchi, Izumi; Kamitane, Yoshiyuki; Ohara, Atsumi; Suda, Nobuhide
$H\sb \infty$ control for descriptor systems: A matrix inequalities approach. (English)
[J] Automatica 33, No.4, 669-673 (1997). ISSN 0005-1098

The authors consider the $H_\infty$ control problem for descriptor systems that possibly have impulsive modes and/or $j\omega$-axis zeros. Matrix inequalities that characterize some properties of descriptor systems, namely generalized stability condition and $H_\infty$ norm condition, are proposed. Using these algebraic conditions the authors reduce the descriptor $H_\infty$ control problems, which involves satisfying the $H_\infty$ condition and eliminating the impulsive modes of the plant, to solving linear matrix inequalities.
[O.I.Nikonov (Ekaterinburg)]

MSC 2000:: *93B36 $H^\infty$-control
93C35 Multivariable, multidimensional control systems
15A39 Linear inequalities

Keywords: linear matrix inequalities; descriptor systems; $H\sb \infty $ control; convex optimization

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