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Robust stabilization and H ∞ control of uncertain stochastic time‐delay systems with nonlinear perturbation
Author(s) -
Li Boren,
Yang Guang
Publication year - 2016
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.3506
Subject(s) - control theory (sociology) , nonlinear system , perturbation (astronomy) , robust control , bounded function , norm (philosophy) , mathematics , attenuation , computer science , mathematical optimization , control (management) , law , physics , optics , mathematical analysis , quantum mechanics , artificial intelligence , political science
Summary This paper investigates the problem of delay‐dependent robust stochastic stabilization and H ∞ control for uncertain stochastic nonlinear systems with time‐varying delay. System uncertainties are assumed to be norm bounded. Firstly, by using novel method to deal with the integral terms, robustly stochastic stabilization results are obtained for stochastic uncertain systems with nonlinear perturbation, and an appropriate memoryless state feedback controller can be chosen. Compared with previous results, the new technique can sufficiently utilize more negative items information. Then, robust H ∞ control for uncertain stochastic system with time‐varying delay and nonlinear perturbation is considered, and the controller is designed, which will guarantee that closed‐loop system is robustly stochastically stable with disturbance attenuation level. Finally, two numerical examples are listed to illustrate that our results are effective and less conservative than other reports in previous literature. Copyright © 2016 John Wiley & Sons, Ltd.