Design and application of double-sliding mode variable structure control systems

摘要

On the base of double-sliding modes variable structure control theories, new design methods of switching surfaces and changing rules of inputs are analyzed. In a system with unmatched uncertainties, two switching surfaces can be designed separately to guarantee the stability; it is proved that the inputs can trap the state trajectory on the switching surfaces; a more simple changing rules of inputs are used, then the state trajectory will hit one of the switching surfaces alternately, so the switching frequency is reduced. Simulation of a linear model with unmatched uncertainties are given, simulation results show the effectiveness and feasibility of the proposed methods.