Robust stabilization of MIMO systems in finite/fixed time

Summary The control design problem for finite‐time and fixed‐time stabilizations of linear multi‐input system with nonlinear uncertainties and disturbances is considered. The control design algorithm based on block decomposition and implicit Lyapunov function technique is developed. The robustness p...

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Bibliographic Details
Published inInternational journal of robust and nonlinear control Vol. 26; no. 1; pp. 69 - 90
Main Authors Polyakov, A., Efimov, D., Perruquetti, W.
Format Journal Article
LanguageEnglish
Published Bognor Regis Blackwell Publishing Ltd 10.01.2016
Wiley Subscription Services, Inc
Subjects
homogeneity
implicit Lyapunov function
nonasymptotic stabilization
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Summary:Summary The control design problem for finite‐time and fixed‐time stabilizations of linear multi‐input system with nonlinear uncertainties and disturbances is considered. The control design algorithm based on block decomposition and implicit Lyapunov function technique is developed. The robustness properties of the obtained control laws with respect to matched and unmatched uncertainties and disturbances are studied. Procedures for tuning of control parameters are presented in the form of linear matrix inequalities. Aspects of practical implementation of developed algorithms are discussed. Theoretical results are supported by numerical simulations. Copyright © 2015 John Wiley & Sons, Ltd.
Bibliography:ark:/67375/WNG-FR5M5S0G-C
ArticleID:RNC3297
istex:6C8925F24B3F7783AFF3F9515788230AAF1C9AB4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.3297