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The output-feedback H∞ control problem is solved for continuous-time, linear, retarded and neutral-type systems. A delay-dependent solution is obtained in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by applying P. Park's inequality (1999) for bounding cross-terms. A state-feedback solution is derived for systems with polytopic parameter uncertainties. An output-feedback controller is then found by solving two LMIs, one of which is associated with a descriptor time-delay "innovation filter". The cases of instantaneous and delayed measurements are considered. Numerical examples are given which illustrate the effectiveness of the new theory
Published in:
Automatic Control, IEEE Transactions on
(Volume:47
,
Issue:
2
)
Date of Publication: Feb 2002
- Page(s):
- 253 - 270
- ISSN :
- 0018-9286
- INSPEC Accession Number:
- 7192933
- Digital Object Identifier :
- 10.1109/9.983353
- Date of Current Version :
- 07 August 2002
- Issue Date :
- Feb 2002
- Sponsored by :
- IEEE Control Systems Society
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