Position and Current Control of an Interior Permanent Magnet Synchronous Motor by Using Loop Shaping Methodology: Blending of Hâˆ‍ Mixed Sensitivity Problem and T–S Fuzzy Model Scheme

Abstract

This paper presents a robust mixedsensitivity Hâˆ‍ controller design via loopshaping methodology for a class of multipleinput multipleoutput (MIMO) uncertain nonlinear systems. In order to design this controller, the nonlinear plant is first modeled as several linear subsystems by Takagi and Sugeno's (T–S) fuzzy approach. Both loopshaping methodology and mixedsensitivity problem are then introduced to formulate frequencydomain specifications. Afterward for each linear subsystem, a regional poleplacement outputfeedback Hâˆ‍ controller is employed by using linear matrix inequality (LMI) approach. The parallel distributed compensation (PDC) is then used to design the controller for the overall system. Several experimental results show that the proposed method can effectively meet the performance requirements like robustness, good load disturbance rejection, and both tracking and fast transient responses even in the presence of parameter variations and load disturbance for the threephase interior permanentmagnet synchronous motor (IPMSM). Finally, the superiority of the proposed control scheme is approved in comparison with the input–output linearization (I/O linearization) and the H2/Hâˆ‍ controller methods.