On the application of alternating projection under the constraint of linear matrix inequalities

Wein So Wang, Jyh Ching Juang, York Yih Sun

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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 languageEnglish
Pages (from-to)15-22
Number of pages8
JournalIMA Journal of Mathematical Control and Information
Volume16
Issue number1
DOIs
Publication statusPublished - 1999 Mar

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Control and Optimization
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'On the application of alternating projection under the constraint of linear matrix inequalities'. Together they form a unique fingerprint.

Cite this