Combined finite‐time state feedback for high‐speed train systems with time‐varying delays and disturbances
Yinghao Tong, Zhengyun Ren, Dongbing Tong, Zhiping Fan, Xue Feng
Abstract
Abstract In this paper, finite‐time state estimation and control problems are considered for high‐speed train systems. First of all, dynamic error systems of the high‐speed trains are modeled as nonlinear systems with time‐varying delays and disturbances. Secondly, finite‐time state estimators and finite‐time controllers are designed for dynamic error systems, a combined finite‐time state feedback structure is obtained. Then based on the Lyapunov stability theory and the finite‐time stability theory, finite‐time bounded conditions of high‐speed train dynamic error systems and estimation error systems are obtained. Finally, the feasibility of designed control method is proved by a example.