Sigma adaptive sliding mode control of 2nd order nonlinear systems

Abstract

In this paper, the sigma adaptive sliding mode control (SASMC) which is a combination of sliding mode control (SMC) and sigma adaptive law for a class of 2nd order nonlinear systems is developed. The proposed SASMC for the 2nd order nonlinear systems can overcome the drawbacks due to SMC. It can achieve a smaller mean tracking error than SMC, suppress chattering due to SMC, improve transient response due to modeling error, and reduce the gain of the controller.