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

Abstract EN

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.