Adaptive Stabilization of Stochastic Nonlinear Systems Disturbed by Unknown Time Delay and Covariance Noise

Na Duan, Huifang Min and Xiaoyan Qin

Mathematical Problems in Engineering, 2017, vol. 2017, 1-9

Abstract:

This paper considers a more general stochastic nonlinear time-delay system driven by unknown covariance noise and investigates its adaptive state-feedback control problem. As a remarkable feature, the growth assumptions imposed on delay-dependent nonlinear terms are removed. Then, with the help of Lyapunov-Krasovskii functionals and adaptive backstepping technique, an adaptive state-feedback controller is constructed by overcoming the negative effects brought by unknown time delay and covariance noise. Based on the designed controller, the closed-loop system can be guaranteed to be globally asymptotically stable (GAS) in probability. Finally, a simulation example demonstrates the effectiveness of the proposed scheme.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:8084529

DOI: 10.1155/2017/8084529

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