Nonfragile sampled‐data H∞ control design for high‐speed train with parametric uncertainties

This study proposes the nonfragile sampled-data H-infinity control design for a high-speed train (HST) with parametric uncertainties. Unlike the existing studies, the HST model is formulated together with the damping force, parametric uncertainties, and uncertain factors. To guarantee the desired tracking speed of HST, and at the equilibrium state, the stability of relative spring displacement between two adjacent carriages, sufficient conditions are addressed under nonfragile sampled-data H-infinity control based on the actual sampling pattern with an input delay approach. Meanwhile, a H-infinity disturbance attenuation performance is obtained for the uncertain factors, which ensures the safety and comfort of operating the HST. By utilizing experimental Japan Shinkansen HST parameter values, numerical examples are employed to verify the proposed method.