An H2 linearizing and decoupling control of a permanent magnet synchronous machine

An H₂ linearizing control for a permanent synchronous machine (PMSM) is designed. The standard H₂ problem is progressively formulated. The PMSM control objectives, linearizing model, references tracking and noise measurements insensitivity, under internal stability, are carried out in an H2 standard form. Theses nominal requirements are improved by the additional exogenous input disturbances noises and the added asymptotic trajectory deviation control to the controlled outputs. The H₂ separation structure is applied and the related robustness performance requirements as well as the tracking objectives than the disturbances filtering objectives are performed by constant weighting matrices. This design stage is simplified by selecting only a few parameters; the time horizons for control and for filtering. The resulting H2 dynamical output controller is time tested.