Adaptive composite nonlinear feedback integral sliding mode tracker design for Chua's uncertain switched system

Abstract

This research aims to design a robust adaptive tracking controller for Chua's switched nonlinear circuit systems. The proposed adaptive composite nonlinear approach is modified in order to provide a robust controller with improved performance in the presence of uncertainties and input saturation. It is demonstrated that by employing an integral sliding mode controller that is based on a linear matrix inequality (LMI), the resultant closed-loop system can attain an exponentially boundedly stable. This technique ensures robustness to the impacts of uncertainties and input saturation and reduces the chattering phenomenon. Eventually, a simulation example of Chua's circuit system is utilised to reveal the performance and advantages of the offered approach.