Using Robust Control in Drug and Virus Scheduling in Chemovirotherapy Nonlinear Model

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Mobaraki, Mobina | 2020

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 52862 (08)
University: Sharif University of Technology
Department: Mechanical Engineering
Advisor(s): Moradi, Hamed
Abstract:
Best cancer treatment is the one which reduces the tumor density in minimum time and side effects, considering the input limitations. In this paper, tracking controller and robust controllers are designed to achieve the mentioned objectives, simultaneously. An ODE-based mathematical model of the human body under chemovirotherapy is selected, which includes the uninfected and infected tumor cells, free viruses, immune cells, and a chemotherapeutic drug. For tracking purposes, a servo controller based on the entire eigenstructure assignment (EESA) approach is applied to the model, continuously and discretely. For robust purposes H-infinity and D-K iteration approaches are implemented and compared. The results of the tracking controller indicate that the discrete controller performs smoother than the continuous one. In the discrete controller, optimum time interval for the injection of drugs and viruses, as the optimal treatment schedule, is determined. By comparing the robust controller’s outcomes and contributing factors on the smoothness of the output, H-infinity is found to be more efficient as it leads to less variation domain in plant inputs
Keywords:
Mathematical Model ; Robust Control ; Uncertainty ; Cancer Chemotherapy ; Cancer Treatment ; Optimal Cancer Treatment ; Chemovirotherapy