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- Type of Document: Ph.D. Dissertation
- Language: Farsi
- Document No: 53744 (06)
- University: Sharif University of Technology
- Department: Chemical and Petroleum Engineering
- Advisor(s): Shahrokhi, Mohammad
- Abstract:
- The purpose of this study is to propose a stable treatment strategy for hepatitis C infection by considering several practical limitations of the treatment and using control theories. First, hepatitis C disease and its transmission, diagnosis, and treatment methods have been introduced. Then, the mathematical models of hepatitis C dynamics in the body have been presented, and their ability in predicting the observed clinical behaviors of the patients has been studied. Thereafter, the extended versions of these models by considering pharmacokinetics/dynamics equations of the drugs have been proposed to have a more realistic mathematical model. After that, the practical features of the disease treatment such as limitation of the drug dose and its efficacy, unavailability of all states measurements, unknown model parameters, incorporating pharmacological models for drug dose-drug efficacy relationships, impulsive nature of the drug administration and sampled and delayed nature of the output measurements have been introduced. Finally, different treatment strategies by considering several practical challenges have been designed as below:1.Treatment method based on the feedback linearization technique and considering the unavailability of system states measurements2.Treatment method based on the adaptive backstepping technique and considering unknown model parameters, limitation of the drug efficacy, and unavailability of the system states3. Treatment method based on the impulsive state feedback technique and considering pharmacokinetics/dynamics models of the drug and impulsive and limited nature of the drug administration 4.Treatment method based on the impulsive state feedback technique and considering the latter method’s challenges along with the unavailability of all system states and sampled and delayed nature of the output measurements In the first two methods, the Luenberger-like observer and the Lyapunov stability theorem have been utilized to estimate the system’s unknown states and investigate the closed-loop stability of the treatment methods, respectively. In the third method, the combination of a heuristic approach and the Lyapunov theory has been utilized to study the closed-loop stability. In the last method, the impulsive chain observer has been designed to estimate the unknown states under delayed and sampled measurements. Finally, the simulation results indicate that in all of the proposed methods, the controller has a good tracking performance, and the control objective, which is achieving the cure boundary, has been reached. Also, since new practical challenges have been added to the previous method’s limitations in each design, therefore, the last controller, which includes all practical limitations, is the better method from the practical and real treatment perspective
- Keywords:
- Hepatitis C Virus ; Feedback Linearization ; Pharmacodynamic ; Pharmacokinetic ; Impulsive Linearizing Controller ; Backstepping Algorithm ; Impulsive Observer
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