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A new approach in cancer treatment regimen using adaptive fuzzy back-stepping sliding mode control and tumor-immunity fractional order model

Sarhaddi Maryam, Yaghoobi Mahdi

Biocybernetics and Biomedical Engineering

2020

Vol. 40, no. 4

1654--1665

Cancer is one of the leading factors of human mortality. The main goal of this article is to present and control a tumor treatment immunity. It can adaptively benefit from the advantages of back-stepping control, the sliding mode control, fuzzy control, and parameter estimation. The cancerous tumor proposed model is a Multi-Input Multi-Output (MIMO) nonlinear fractional-order model. A new back-stepping model based on the sliding mode controller is designed in this paper to deal with the convergence velocity and achieve a robust controller. A new combined Back-Stepping controller with the approach of sliding mode has been designed to solve the convergence velocity challenge, and to face the ordinary back-stepping robustness issue of the controller. Since nonlinear expressions are considered in an indefinite model, a fuzzy controller has been applied to model them. The parameters are estimated using the least-squares method to solve the challenge of uncertainty in parameters. The Back-Stepping model, combined with the sliding mode, has benefited from the advantage of a sliding mode controller, namely, its robustness against uncertainties. The simulation results have demonstrated that the proposed controller has led tumor cells to zero with a higher velocity compared to the integer-order model controller and the adaptive fuzzy conventional Back-Stepping controller.