Adaptive and robust control of nonlinear systems with unbounded uncertain functions

Abstract

For the efficicDl solution of tracking control problems of a class of nonlinear systems with the bounded perturbation is sliding mode control the often used method. This method is known as the appropriate robust control technique to suppress the effect of bounded noises or disturbances in systems. However the occurred chattering of this control method is the main uncomfortable phenomenon in the close loop system. Many additional conừol techniques are published in few last years to damp this elTect. They are primary based on approximation or identification of uncertainties to compensate their presence in the system. This paper proposes an approach to suppress this not wanted efTect without using of the identification and compensation. Moreover the proposed control method can be also applied for tracking control of nonlinear systems with the presence of unbounded disturbances instead of bounded ones.