Adaptive robust control for a class of uncertain stochastic systems with time-varying delays

作者：Wang, Yuchao; Wu, Hansheng; Huang, Peng; Kang, Zhiliang^*

来源：IEEJ Transactions on Electrical and Electronic Engineering, 2018, 13(10): 1461-1467.

DOI：10.1002/tee.22713

• adaptive robust control
• stochastic systems
• robust stabilization
• time-delay systems
• uncertainty

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.

• 出版日期2018-10
• 单位四川农业大学