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  • Linearization Methods in the Problem of Control Synthesis for Nonlinear Unsertain Objects in the Application to Mediocomatic Treatment of HIV Patients

Linearization Methods in the Problem of Control Synthesis for Nonlinear Unsertain Objects in the Application to Mediocomatic Treatment of HIV Patients

Student: Dyubaylo Alexander

Supervisor: Valery Afanasiev

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Control Systems and Data Processing in Engineering (Master)

Final Grade: 9

Year of Graduation: 2018

The algorithm of optimization of nonlinear nonstationary models is considered. It lets to build up the optimal control function of such systems. The method of representing a nonlinear system in a linear form with parameters that depend on the state is shown in this paper. It allows the translation from the Hamilton-Jacobi equation to Riccati-type equations for the synthesis of optimal control. The effectiveness of the constructed SDRE-method is shown on the example of the model of interaction of HIV infection with the human immune system during the treatment.

Full text (added May 15, 2018)

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