Classic Sliding Mode Control From First Principles

Abstract

This is an intuitive introduction to classic sliding mode control that shows how the associated assumptions and condition for its use arise in the context of a derivation of the method. It derives a controller that obviates the need for the assumption of any sign for the control input vector, answers why it is said that it deals only with matched disturbances and why a system that it may apply to 'must' be linear in the control signal. Additionally, it may be viewed as an example of how a control design method might be developed, adding to its pedagogical usefulness.