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Discrete‐time robust H ∞ control of a class of nonlinear uncertain systems
Author(s) -
Shaiju A.J.,
Petersen Ian R.
Publication year - 2012
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.2852
Subject(s) - control theory (sociology) , nonlinear system , robust control , controller (irrigation) , lipschitz continuity , class (philosophy) , quadratic equation , mathematics , attenuation , upper and lower bounds , control (management) , computer science , physics , mathematical analysis , geometry , optics , quantum mechanics , artificial intelligence , agronomy , biology
SUMMARY This paper presents an approach to discrete‐time robust H ∞ control for a class of nonlinear uncertain systems on the basis of the use of Sum Quadratic Constraints. The approach involves controllers, which include copies of the system nonlinearities in the controller. The nonlinearities being considered are those that satisfy a certain global Lipschitz condition. The linear part of the controller is synthesized using linear robust H ∞ control theory, and this leads to a nonlinear controller, which gives an upper bound on the attainable disturbance attenuation level. Copyright © 2012 John Wiley & Sons, Ltd.