Control of heart conduction system arrhythmia by means of sliding mode scheme

In this paper, we present a sliding mode controller for FitzHugh-Nagumo (FHN) model affected by uncertainties, disturbances and immeasurable states. The sliding mode controller has been utilized with the aim of external signal tracking for the single cell FHN model. Both methods of proportional derivative sliding mode control (PDSMC) and Proportional Integrator derivative sliding mode control (PIDSMC) are applied to the FHN model. For these control strategies, salient features of the controllers and their potentials are described. Simulation results for both methods are presented and compared. It is shown that different features of the control performance of the PIDSMC such as robustness, precision and chattering elimination are quite comparable to those of PDSMC. Since FHN model seems to correctly capture the electrical behavior of the heart conduction system, therefore, this method might have important applications, especially, the proposed approach may be employed in control of cardiac arrhythmia.