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Global asymptotic stabilization for input-delay chained nonholonomic systems via the static gain approach
Authors:Xiandong Chen  Xianfu Zhang  Chenghui Zhang  Le Chang
Institution:School of Control Science and Engineering, Shandong University, Jinan 250061, China
Abstract:In this paper, a novel control strategy is proposed for asymptotically stabilizing chained nonholonomic systems with input delay. Firstly, by using the input-state-scaling technique and the static gain control method, the stabilization control problem of such systems is transformed into designing two gain parameters to stabilize a class of generalized feedback systems with state delay. Then, based on the Lyapunov–Krasovskii theorem, the stability analysis of the closed-loop systems is achieved by the appropriate selection of the gain parameters, and the state and output feedback controllers are constructed simultaneously. An illustrative example is also provided to demonstrate the effectiveness of the proposed strategy.
Keywords:Corresponding author  
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