Premium
Adaptive robust control for a class of uncertain stochastic systems with time‐varying delays
Author(s) -
Wang Yuchao,
Wu Hansheng,
Huang Peng,
Kang Zhiliang
Publication year - 2018
Publication title -
ieej transactions on electrical and electronic engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.254
H-Index - 30
eISSN - 1931-4981
pISSN - 1931-4973
DOI - 10.1002/tee.22713
Subject(s) - control theory (sociology) , bounded function , adaptive control , robust control , class (philosophy) , lyapunov function , mathematics , constant (computer programming) , stability theory , state (computer science) , norm (philosophy) , controller (irrigation) , computer science , robustness (evolution) , mathematical optimization , control (management) , control system , nonlinear system , engineering , algorithm , artificial intelligence , law , mathematical analysis , chemistry , biology , biochemistry , quantum mechanics , political science , agronomy , programming language , physics , electrical engineering , gene
The problems of robust stochastic stabilization and adaptive robust control are studied for stochastic systems with parameter uncertainties and time‐varying state delays. In this study, an assumption is made that the parameter uncertainties are time‐varying norm‐bounded, the upper bounds of which are unknown positive constants, and that the time‐varying delays are non‐negative continuous and bounded functions. In particular, the derivatives of these time‐varying delays are not required to be less than 1. For such a class of stochastic systems, a delay‐independent adaptive robust state feedback controller is proposed. By employing the Lyapunov functional method, it has been demonstrated that the equilibrium x ( t ) = 0 of such systems is globally asymptotically stable in probability. Finally, a numerical example is given to demonstrate the effectiveness of the results. © 2018 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.