Adaptive Algorithm for optimization in Speed of Third Order Sliding Mode Control Systems

Abstract

Limitations of the intermediate coordinates of the electromechanical system depend on the magnitude of the set motion, which makes it relevant to adapt the control system to the shape of the optimal transient trajectory. The presented adaptive algorithm is designed for parametric synthesis of positional electric drives and is based on the N-i switching method. Its application provides optimization in speed of a third-order system in the entire range of the adjustable coordinate. The operation of the algorithm is demonstrated by the example of an idealized system with a neutral-stable control object.