AUTHORS: Chiou-Jye Huang, Kai-Hung Lu, Hsin-Chuan Chen

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ABSTRACT: This paper presents a novel feedback linearization control of nonlinear systems with uncertainties for the tracking and almost disturbance decoupling and develops an Acquired Immunity Deficiency Syndrome control strategy. The main contribution of this study is to construct a controller, under appropriate conditions, such that the resulting closed-loop system is valid for any initial condition and bounded tracking signal with the following characteristics: input-to-state stability with respect to disturbance inputs and almost disturbance decoupling. In order to demonstrate the applicability, this paper develops the feedback linearization design for the control of a mathematical HIV/AIDS model system to improve the viral load. The performances of drug treatment based on our proposed novel nonlinear geometric feedback control approach are better than some existing approaches, i.e., the healthy CD+ T cell population can be kept in original cells per cubic millimeter and the viral load is reduced only after more short days of drug treatment

KEYWORDS: Almost Disturbance Decoupling; Feedback Linearization Approach; Acquired Immunity Deficiency Syndrome; Human Immunodeficiency Virus

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