Synthesis and analysis of time-optimal current trajectory based on final-state control for IPMSM

This paper investigates time-optimal current trajectory of an interior permanent magnet synchronous motor (IPMSM) and achievable performance limitations. The analysis with linearized IPMSM model shows that time-optimal trajectory under voltage limit has q-axis current undershoot, d-axis current overshoot, and torque overshoot/undershoot. These achievable performance limitations are verified with final-state control which desribes current response under the voltage limit with linear matrix inequalities.