Output Feedback Guaranteed Cost Control for Uncertain Discrete-Time Systems Using Linear Matrix Inequalities

L. Yu and F. Gao
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L. Yu: Zhejiang University of Technology
F. Gao: Hong Kong University of Science and Technology

Journal of Optimization Theory and Applications, 2002, vol. 113, issue 3, No 10, 634 pages

Abstract: Abstract This paper considers the output feedback guaranteed cost controller design problem for uncertain discrete-time systems. The uncertainty is assumed to be of linear fractional form, unstructured, and is allowed to be time-varying. It is proved that the existence of a guaranteed cost controller is equivalent to the feasibility of a certain linear matrix inequality (LMI), and that a full-order output feedback controller can be constructed in terms of the feasible solution to the LMI. Furthermore, a convex optimization problem is introduced for the selection of a suitable controller minimizing a specified cost bound.

Keywords: Discrete-time systems; guaranteed cost control; output feedback; linear matrix inequalities; unstructured uncertainty (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1023/A:1015369006867

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