Premium
Robust stabilization of MIMO systems in finite/fixed time
Author(s) -
Polyakov A.,
Efimov D.,
Perruquetti W.
Publication year - 2015
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3297
Subject(s) - robustness (evolution) , control theory (sociology) , lyapunov function , nonlinear system , mimo , linear matrix inequality , robust control , computer science , mathematics , mathematical optimization , control (management) , biochemistry , chemistry , physics , quantum mechanics , artificial intelligence , gene , computer network , channel (broadcasting)
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.