Guaranteed cost sampled‐data control for high‐speed train systems

Abstract

The optimal guaranteed cost sampled‐data control problem is studied for high‐speed train systems. To keep the relative speed and relative displacement of each high‐speed train stable, and ensure the performance level of high‐speed trains at the same time, sufficient conditions are obtained for the optimal guaranteed cost sampled‐data controller of train systems. By the convex optimization method, the minimum upper bound of high‐speed train systems is obtained. At last, two examples are presented to substantiate the correctness of theoretical results.