Robust Fuzzy Gain-Scheduled Control of the 3-Phase IPMSM

This article presents a fuzzy robust mixed - sensitivity gain - scheduled h? controller based on the loop -shaping methodology for a class of mimo uncertain nonlinear time - varying systems. in order to design thiscontroller, the nonlinear parameter - dependent plant is first modeled as a set of linear subsystems by takagi andsugeno’s (t - s) fuzzy approach. both loop - shaping methodology and mixed - sensitivity problem are thenintroduced to formulate the frequency - domain specifications. furthermore, a regular weights selection method(rwsm) is used to devise a systematic design for choosing properly the weighting matrices. afterwards, for eachlinear subsystem, an h? controller is designed via linear matrix inequality (lmi) approach. such controllers are saidto be scheduled by the time - varying parameter measurements in real time. the parallel distributed compensation(pdc) is then used to design the controller for the overall system and the total linear system is also obtained throughusing the weighted sum of the local linear subsystems. several results show that the proposed method can effectivelymeet the performance requirements like robustness, good load disturbance rejection and tracking responses, andfast transient responses for the 3 - phase interior permanent magnet synchronous motor (ipmsm). finally, thesuperiority of the proposed control scheme is approved in comparison with the feedback linearization controller, theh2/h? controller and the h? mixed - sensitivity controller methods.