Non-zero set-point affine feedback control of impulsive systems with application to biomedical processes

Pablo S. Rivadeneira and Alejandro H. González

International Journal of Systems Science, 2018, vol. 49, issue 15, 3082-3093

Abstract: Linear impulsive systems have been extensively studied in the last decades, mainly in the field of biomedical research. However, a proper characterisation of the equilibria of such a systems - when they are out of the origin - and its use by optimising control strategies is still a matter of discussion. In this work, a novel characterisation of the system equilibria and invariant regions - derived from the definition of two underlying discrete-time systems - is given, and based on this characterisation impulsive affine feedback control strategies for non-zero set-points are designed. The closed-loop performance and benefits of the strategies are assessed through two biomedical examples: the Lithium ions distribution in the human body and the HIV treatment.

Date: 2018
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DOI: 10.1080/00207721.2018.1533049

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