Expanded proximate time-optimal servo control of permanent magnet synchronous motor

This paper extends the existing proximate time‐optimal servomechanism control methodology to the more typical second‐order servo systems with a damping element. A parameterized design of expanded proximate time‐optimal servomechanism control law with a speed‐dependent linear region is presented for rapid and smooth set‐point tracking using a bounded input signal. The control scheme uses the time‐optimal bang‐bang control law to accomplish maximum acceleration or braking whenever appropriate and then smoothly switches into a linear control law to achieve a bumpless settling. The closed‐loop stability is analyzed, and then the control scheme is applied to the position–velocity control loop in a permanent magnet synchronous motor servo system for set‐point position regulation. Numerical simulation has been conducted, followed by experimental verification based on a TMS320F2812 digital signal controller board. The results confirm that the servo system can track a wide range of target references with superior transient performance and steady‐state accuracy. Copyright 2015 John Wiley & Sons, Ltd.