Generalized pole placement via static output feedback: A methodology based on projections

Authors:
Kaiyang Yang;Robert Orsi
Affiliations:
Research School of Information Sciences and Engineering, The Australian National University, Canberra ACT 0200, Australia and National ICT Australia Limited, Locked Bag 8001, Canberra ACT 2601, Au ...;Research School of Information Sciences and Engineering, The Australian National University, Canberra ACT 0200, Australia
Venue:
Automatica (Journal of IFAC)
Year:
2006

Citing 7
Cited 0

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Paper: Low-order control design for LMI problems using alternating projection methods

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Abstract

This paper presents an algorithm for solving static output feedback pole placement problems of the following rather general form: given n subsets of the complex plane, find a static output feedback that places in each of these subsets a pole of the closed-loop system. The algorithm presented is iterative in nature and is based on alternating projection ideas. Each iteration of the algorithm involves a Schur matrix decomposition, a standard least-squares problem and a combinatorial least-squares problem. While the algorithm is not guaranteed to always find a solution, computational results are presented demonstrating the effectiveness of the algorithm.