Problems on the Stabilizability Conditions for Nonlinear Uncertain Systems with Unmatched Uncertainties

Abstract

A modification of the stabilizing control low for uncertain systems with unmatched unmcertainties was presented by Sei et. al. However, this method has some problems on the effects of stabilizing controls. The report seems to have neglected the fact that, because of the discontinuity of control functions, there can arise sliding modes in system trajectories. Here, it is shown that, in order to prove the stability of the system, further conditions on the uncertain functions are needed.