Adaptive Output Feedback Control for Mismatched Uncertain Systems: Single Phase Sliding Mode Approach

In this paper, we present a new sliding mode control, only one phase, for mismatched uncertain systems. At the initial time t=0 the switching plane have reached the origin, the plane stops moving and remains fixed. In addition, the sufficient conditions in terms of linear matrix inequalities (LMI) for the existence of a sliding surface guarantee asymptotic stability of the sliding mode dynamics from the beginning time. We have also offered the adaptation laws to calculate the unknown upper bounds of matched uncertainties, and by making use of their updated values, established a class of adaptive output feedback controllers. Finally, a numerical example is used to demonstrate the efficacy on the method.