CONTROL DESIGN OF DENGUE FEVER MODEL USING PONTRYAGIN MINIMUM PRINCIPLE AND MIXED H2 ???? H1 CONTROL

• Main Author: Hilyati Aulia, Hanna
• Format: Theses
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/42205
• Institution: Institut Teknologi Bandung

Dengue fever is a mosquito vector borne disease that has been endemic all over the world and putting the human population at risk. Nowadays, the develop- ment of vaccine against dengue fever has been increased, so in this study will discuss about dengue fever epidemic model with control which is a proportion of susceptible human that vaccinated each time. Optimal control design using Pontryagin Minimum Principle is applied in order to decrease the number of infected humans. Then the wanning immunity constant and the cost associated with providing control is considered. In the reality, dynamic of dengue fever transmission can be disturbed by various external and internal factor, so it's needed to consider the disturbance in the models. Then, control optimization problem for dengue fever model with disturbance which is the transfer between compartment is constructed. Design of mixed H2 ???? H1 control is applied to optimizes objective function and reduces the disturbance. Solving control prob- lems using State-dependent Riccati Equation (SDRE) approach by transform- ing nonlinear system to State-dependent Coecient (SDC) system. Based on this system, state-feedback control that accomodates H2 control and H1 con- trol performance is designed. According these two control designs, simulation result shows that both control application can decrease the number of infected humans. Furthermore, H2 ???? H1 control can reduce the disturbance in system by 53;42%.