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IMA Journal of Mathematical Control and Information 1999 16(1):15-22; doi:10.1093/imamci/16.1.15
© 1999 by Institute of Mathematics and its Applications
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On the application of alternating projection under the constraint of linear matrix inequalities

WEIN-SO WANG, JYH-CHING JUANG and YORK-YIH SUN

Department of Electrical Engineering, National Cheng-Kung University Tainan, Taiwan, R. O. C.

In this paper, alternating projection under the constraint of linear matrix inequalities (LMIs) is investigated to solve the following two problems: finding the intersection of several convex LMI sets and designing an output-feedback stabilizing controller. Each problem is formulated as a quadratic optimization problem under LMI constraints. A numerical algorithm based on the concept of alternating projection is proposed. The algorithm is demonstrated using a vertical-strip pole-assignment example.


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