Abstract
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.
Original language | English |
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Pages (from-to) | 15-22 |
Number of pages | 8 |
Journal | IMA Journal of Mathematical Control and Information |
Volume | 16 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1999 Mar |
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Control and Optimization
- Applied Mathematics