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IMA Journal of Mathematical Control and Information 1996 13(2):105-115; doi:10.1093/imamci/13.2.105
© 1996 by Institute of Mathematics and its Applications
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Dynamic output feedback design for singularly perturbed discrete systems

TZUU-HSENG S. Li{dagger}, MING-SHYAN WANG{ddagger} and YORK-YIH SUN{dagger}

{dagger}Control System Laboratory, Department of Electrical Engineering, National Cheng-Kung University Tainan, Taiwan, 701, Republic of China
{ddagger}Department of Electronic Engineering, Nan-Tai College Tainan, Taiwan, 710, Republic of China

The problem of designing dynamic output-feedback controllers for singularly perturbed discrete systems using reduced-order models is reconsidered in the paper. A sufficient condition that guarantees the robustness of the stability of the closed-loop system designed on the basis of its related reduced-order sybsystem is given. The gain matrices of the dynamic output feedback controller are determined via the simultaneous computation of the static output-feedback gain matrices for the fast subsystem and the so-called auxiliary system of the slow subsystem. The exact upper bound of the singular-perturbation parameter for the controlled system is also calculated. Finally, an example is examined.


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