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IMA Journal of Mathematical Control and Information 1994 11(3):213-230; doi:10.1093/imamci/11.3.213
© 1994 by Institute of Mathematics and its Applications
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Optimal static output feedback stabilization of singularly perturbed discrete–time systems

TZUU-HSENG, S. LI and JEN-HSING LI

Control System Laboratory, Department of Electrical Engineering, National Cheng Kung University Tainan, Taiwan 70101, Republic of China

This paper addresses the static output–feedback stabilization problem for a singularly perturbed discrete–time system. Three issues for this kind of problem are investigated in detail. The optimization of the nominal system with a stable fast model is examined first. Secondly, stabilization with gain spillover suppression is developed, and its associated linear–quadratic synthesis procedures are given. Finally, the near–optimal output–feedback regulation problem is explored; both near–optimal gain, and near–optimal performance are zeroth–order approximations to the optimal values. A steam power systemo is exploited to illustrate the proposed schemes.


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