Multi-objective optimal control for EMS based on reduced order observer

In this paper, we develop the design of the multi objective optimal controller for electromagnetic suspension, based on the reduced order observer. First, we derive the static output feedback system with the reduced order observer for EMS systems. The control gain is determined by solving numerically the optimization problem with respect to the multi-objective performance with mixed H₂/H_∞ norm, subject to LMI constraints. The proposed method simultaneously guarantees the stability and H₂/H_∞ norm bounds of the transfer function between exogenous inputs to desired outputs such that the characteristics of single objective methods with H₂ and H_∞ controllers can be considered as performances.