Journal Article

Using delays and time-varying gains to improve the static output feedback stabilizability of linear systems: a comparison

Wim Michiels, Silviu-Iulian Niculescu and Luc Moreau

in IMA Journal of Mathematical Control and Information

Published on behalf of Institute of Mathematics and its Applications

Volume 21, issue 4, pages 393-418
Published in print December 2004 | ISSN: 0265-0754
Published online December 2004 | e-ISSN: 1471-6887 | DOI: http://dx.doi.org/10.1093/imamci/21.4.393
Using delays and time-varying gains to improve the static output feedback stabilizability of linear systems: a comparison

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We address the output feedback stabilization problem of linear finite-dimensional SISO systems. Limitations of static time-invariant output feedback on stabilizability are well known. We investigate and compare the possibilities of two recently proposed simple modifications/generalizations of static time-invariant output feedback to remove such limitations. The first approach consists of introducing a time-delay in the control law, which can be treated as an additional control parameter. The second approach consists of making the gain time-varying. We show that both approaches are complementary. Existing theoretical results are brought together in a unifying framework. Numerical procedures for the construction of the controllers are provided. Robustness w.r.t. both parametric and delay uncertainty are dealt with. As an illustration the stabilizability of all second-order systems is completely determined.

Keywords: output feedback; stabilization; delay equations; non-autonomous systems

Journal Article.  0 words. 

Subjects: Mathematics

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