Cost functional minimizing sliding mode control design

In this paper, a three-step method is proposed to design a sliding mode control strategy, that provides optimal system dynamics with respect to a given cost functional. The method is based on methods of constrained continuous dynamic optimization. It allows a systematic control unit design and therefore reduces the time to find an appropriate sliding mode control law. The proposed technique is successfully applied to the position control of a three-phase permanent magnet synchronous motor. During operation, the dissipative power loss of the machine is minimized.