H∞ Tracking Control of Non-lower Triangular Nonlinear Systems: Coronary Artery System

Abstract

This work presents a novel control approach that integrates backstepping and dynamic surface control techniques to design an H∞ tracking control system. Our focus is on a particular class of nonlinear systems that do not possess lower triangular structure, with a specific application to the coronary system. By employing dynamic surface control, the issue of differential explosion encountered during the backstepping process is effectively addressed, while also guaranteeing robustness. Finally, simulation of coronary artery system proves the effectiveness of the proposed control strategy.