Adaptive PI and SMC for Control of Uncertain and Varying Time-Delay Chaotic Coronary Artery Vessel

Abstract

In this paper, a fuzzy tuning based proportional-integral (PI) and sliding mode (SM) controllers are designed for the synchronization based control of chaotic coronary artery system. The coronary artery system is assumed to be disturbed by an uncertainty function that simulates an unhealthy condition. The synchronization of this unhealthy coronary artery to the healthy coronary artery is achieved by the designed controllers that provide a proper blood feeding to the heart. In fact, PI and SMC are feedback controllers to track a healthy coronary artery system trajectory as in model-reference control. First, PI and SM controller parameters are determined by a trial-and-error approach, however in second case, fuzzy system tuned parameters are also designed to get accurate synchronization based control results. The proposed and designed controllers are applied to improve synchronization performance of coronary artery system. In experiments, the performance of controllers is illustrated and rootmean squared errors (RMSE) are given in Table for a comparison. The numerical applications show better synchronization results and control performances compared to the literature works and fixed parameter cases.