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H∞ model reduction for discrete-time singular systems

✍ Scribed by Shengyuan Xu; James Lam

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
174 KB
Volume
48
Category
Article
ISSN
0167-6911

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✦ Synopsis

This paper investigates the problem of H∞ model reduction for linear discrete-time singular systems. Without decomposing the original system matrices, necessary and su cient conditions for the solvability of this problem are obtained in terms of linear matrix inequalities (LMIs) and a coupling non-convex rank constraint set. When these conditions are feasible, an explicit parametrization of the desired reduced-order models is given. Particularly, a simple LMI condition without rank constraint is derived for the zeroth-order H∞ approximation problem. Finally, an illustrative example is provided to demonstrate the applicability of the proposed approach.

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