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- Title
Adaptive robust control for a class of uncertain stochastic systems with time‐varying delays.
- Authors
Wang, Yuchao; Wu, Hansheng; Huang, Peng; Kang, Zhiliang
- Abstract
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.
- Subjects
ADAPTIVE control systems; STOCHASTIC systems; TIME-varying systems; ROBUST control; LYAPUNOV functions
- Publication
IEEJ Transactions on Electrical & Electronic Engineering, 2018, Vol 13, Issue 10, p1461
- ISSN
1931-4973
- Publication type
Article
- DOI
10.1002/tee.22713