DocumentCode :
762807
Title :
Comments on "On the stabilization and observation of nonlinear/uncertain dynamic systems
Author :
Qu, Zhihua ; Dorsey, Julie ; Zak, Stanislaw H.
Author_Institution :
Univ. of Central Florida, Orlando, FL, USA
Volume :
36
Issue :
11
fYear :
1991
Firstpage :
1342
Lastpage :
1343
Abstract :
The commenter indicates that stabilization and observation of uncertain and/or nonlinear dynamic systems without matching conditions were investigated in the above-mentioned work by S.H. Zak (see ibid. vol.35, no.5, p.604-7 (1990)). Stabilizing feedback controllers and observers have been proposed. The discussion is based on lemma 1 proved therein. The commenters believe the lemma is incorrect. Since the results presented are based on this lemma, the results are also incorrect. This is indicated by an example and the subsequent discussion. The author admits that lemma 1 is incorrect. Hence, theorem 1 and also theorem 2 which are based on lemma 1 are incorrect. The correct formulation of lemma 1 is presented.<>
Keywords :
State estimation; feedback; nonlinear control systems; stability; state estimation; feedback controllers; nonlinear dynamic systems; observation; observers; stability; stabilization; uncertain dynamic systems; Adaptive control; Eigenvalues and eigenfunctions; Singular value decomposition;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/9.100954
Filename :
100954
Link To Document :
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