Nonsingular Fast Terminal Sliding Mode Based Model-Free Control: Application to Glycemia Regulation Systems

Abstract

A new Model-Free Control (MFC) is derived to enhance the control performance of the well-known Nonlinear Integral Backstepping based MFC (NIB-MFC). A Nonsingular Fast Terminal Sliding Mode (NFTSM) component is added to NIB-MFC, which makes possible to compensate the estimation error of the time-delay estimation module of NIB-MFC. The obtained in this way new control structure is called NFTSM-MFC. The system stability with NFTSM-MFC is proved and the application of NFTSM-MFC for glycemia regulation is considered. The performances of NFTSM-MFC are compared with those of the NIB-MFC and the intelligent proportional control for a glucose-insulin model of type 1 diabetes patients under a long term simulation.