Vibration Control Method of an Electromagnetic Isolation System Based on LQR and Coevolutionary NGA

Abstract

An electromagnetic isolation system can dynamically adjust the output characteristic parameters of the system in real time through the active control strategy, which has strong adaptability to the external environment. In order to control the electromagnetic vibration isolation system effectively, an active control method is presented based on the linear quadratic regulator (LQR) approach and the coevolutionary niche genetic algorithm (NGA). In this paper, the dynamical equation and state equation of the electromagnetic isolation system are built, which include the nonlinear relationship between electromagnetic force and coil current and gap. The LQR approach is employed to maintain a steady state of an isolated object on the vibration isolation system. Meanwhile, a coevolutionary niche genetic algorithm is put forward to optimize the parameters in Q and R matrices. Simulation and experimental results demonstrate that the electromagnetic isolation system with the LQR approach and coevolutionary NGA can effectively isolate the vibration and maintain a steady state for an isolated object in comparison with the passive isolation system.

Magneto-Sensitive Rubber in a Vehicle Application Context – Exploring the Potential

“…is the static output feedback control gain to be designed. To reduce the object transfer functions, robust control algorithms, such as LQR (Zhang et al, 2008;Zhang and Zhuan, 2020), H-2 (Li et al, 2003;Shukla et al, 2016), and Hinfinity (Xie et al, 2004;Alma et al, 2011;Khot et al, 2017) controller, are often utilized. Compared with other controllers, the H-infinity norm measure the energy-to-energy gain between the external disturbance and the target outputs directly, which can be viewed as the worst-case gain in frequency domain.…”