Sliding control with genetic algorithm for mismatched disturbance

This paper presents a new sliding control to deal with linear systems suffering from matched-to-part disturbance and mismatched disturbance. Only parts of the control inputs are designed using the sliding-mode theory in order to eliminate the matched-to-part disturbance. Based on an important criterion, the proposed controller employs the applicable genetic algorithm to effectively reduce the influence of mismatched disturbance during sliding motion. A numeric example is used to demonstrate the effectiveness of the developed controller.