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Further Results on Adaptive State-feedback Stabilization for a Class of Stochastic Nonholonomic Systems with Time Delays

Xiao-Yan Qin* and Hui-Fang Min
International Journal of Control, Automation, and Systems, vol. 16, no. 2, pp.640-648, 2018

Abstract : "This paper further studies the adaptive stabilization problem for a class of stochastic nonholonomic systems with time delays, unknown parameterization and control coefficients. By using input-state-scaling technique, backstepping recursive approach, and the parameter separation technique, we design an adaptive state-feedback controller under weaker conditions on the drift and diffusion terms. Then, by adopting the switching strategy to eliminate the phenomenon of uncontrollability, the proposed adaptive state-feedback controller can guarantee the states of the closed-loop system to be global boundedness in probability. Finally, the simulation result shows the effectiveness of the proposed scheme."

Keyword : Backstepping, input-state-scaling, stochastic nonholonomic systems, time delays.

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