A practical type-3 fuzzy vibration control for high-speed trains subjected to unknown nonlinear dynamics

Vibration control of high-speed trains (HSTs) is a challenging problem due to complex dynamics, a high-level uncertain operating environment, and time-varying rotational dynamics. Also, controlling vibrations while maintaining stability at high speeds requires advanced controllers and engineering solutions. However, the most traditional controllers include dampers and linear controllers. A few studies have considered HST’s nonlinear dynamics and stability concerns. This paper introduces a new effective idea based on the Active Rotary Inertia Driver (ARID) system. The controlled ARID system ensures stability by actively manipulating rotational inertia through a mass disk. The designed controller is applied for a case-study plant, and the whole closed-loop dynamics are considered to be unknown. Considering the nonlinear complexity of HST motion, adaptive type-3 fuzzy logic systems (T3-FLSs) are developed for modeling. The proposed controller autonomously identifies closed-loop dynamics, independent of predefined ARID equations and HST’s models. Both control gain and nonlinearities are estimated using adaptive T3-FLSs. The T3-FLSs are updated online using Lyapunov adaptation rules. A compensatory parallel controller is also designed to counteract disturbances and T3-FLS estimation errors. The efficacy of the designed approach is validated through comprehensive experiments and simulations under various operational conditions. The overall performance is analyzed in terms of cost, time, frequency domain metrics, and energy efficiency.