Nonlinear optimal control of the acute inflammatory response

Rigatos, G., Busawon, Krishna and Abbaszadeh, Masoud (2020) Nonlinear optimal control of the acute inflammatory response. Biomedical Signal Processing and Control, 55. p. 101631. ISSN 1746-8094

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Abstract

The article proposes a nonlinear optimal control approach for the dynamic model of the acute inflammatory response. This model describes the reaction of the human body to bacterial infection. Optimal control of the infusion of anti-inflammatory and anti-bacterial medication is critical for achieving more effective and less costly pharmaceutical treatments. To solve the related nonlinear optimal control problem the state-space description of the acute inflammatory response undergoes first approximate linearization around a temporary operating point which is recomputed at each iteration of the control algorithm. The linearization relies on Taylor series expansion and on the computation of the associated Jacobian matrices. For the approximately linearized model of the acute inflammatory response a stabilizing H-infinity feedback controller is designed. This controller stands for the solution of the optimal control problem under model uncertainties and external perturbations. To find the controller’s feedback gains an algebraic Riccati equation is solved at each time-step of the control method. The stability properties of the control scheme are proven through Lyapunov analysis.

Item Type:	Article
Uncontrolled Keywords:	Acute inflammatory response, Anti-inflammatory medication, Anti-bacterial treatment, Nonlinear H-infinity control, Nonlinear optimal control, Robust control, Riccati equation, Global stability
Subjects:	B900 Others in Subjects allied to Medicine G400 Computer Science
Department:	Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User:	Elena Carlaw
Date Deposited:	27 Sep 2019 11:05
Last Modified:	08 Sep 2020 15:15
URI:	http://nrl.northumbria.ac.uk/id/eprint/40887

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