Adaptive state feedback control for time-delay stochastic nonlinear systems based on dynamic gain method

作者：Hua, Changchun^*; Li, Yafeng; Zhang, Liuliu; Guan, Xinping

来源：International Journal of Control, 2019, 92(12): 2806-2819.

DOI：10.1080/00207179.2018.1459860

• Stochastic nonlinear systems
• time-delay
• adaptive control
• state feedback
• dynamic gain method

This paper studies the adaptive state feedback control for p normal form time-delay stochastic nonlinear systems with unknown parameters by dynamic gain technique. The power order restriction is completely removed and tracking problem is further studied. Through the inductive design method, the virtual controllers are constructed in each step, and the corresponding dynamic gain is introduced to eliminate residual terms generated by the differential operator of Lyapunov-Krasovskii functional in the subsequent step, which is used to deal with the time-delay terms. The unknown parameters are addressed by the modified tuning function method. Based on the constructed adaptive controller, the boundedness of the tracking error and other state variables can be guaranteed. Especially, if the reference signal is zero, the state variables can converge to equilibrium almost surely. Finally, simulation results are presented to illustrate the effectiveness of the proposed method.

• 出版日期2019-12-2
• 单位中国科学院电工研究所; 燕山大学