Implementation of AC servo controllers employing frequency-domain optimization techniques

Abstract

The design and implementation of a permanent magnet synchronous motor drive based on H/sub 2/ and H/sub infinity / optimal control theory are presented. A mathematical model of the drive is introduced. Based on appropriate assumptions, the model is reduced to a second-order, linear time-invariant system so that the H/sub 2/ and H/sub infinity / optimization techniques are applicable. H/sub 2/ and H/sub infinity / controllers are derived on the basis of the simplified model. A stability analysis is conducted, and stability regions based on controller tuning parameters and sampling periods are constructed. The relationship between closed-loop bandwidth and sampling period due to discretization effect is investigated. Implementation of the controllers and experimental results are described. A multiprocessor-based, fully digital control system is used to realize and experimentally verify the H/sub 2/ and H/sub infinity / control algorithms. Controller performance is evaluated in terms of speed and position responses, and closed-loop and sensitivity frequency responses.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>