DESIGN OF ROBUST CONTROL FOR TAKAGI-SUGENO FUZZY SYSTEM ON THE SPREAD OF HAND-FOOT-MOUTH DISEASE

• Main Author: Yenier Putri, Anggi
• Format: Theses
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/42203
• Institution: Institut Teknologi Bandung

Hand-Foot-Mouth Disease (HFMD) is an infectious disease caused by a group of viruses known as enterovirus (EVs). The most common viruses that cause HFMD are coxsackievirusesA16 (CVA16) and enteroviruses71 (EV71). The EV71 virus infection is considered because it causes neurologic complicated di- sease and death. The SEIR (Susceptible-Exposed-Infectious-Recovery and Re- sistant) epidemic model with vaccine and treatment clinically as controls were examined to analyze the dynamics of HFMD's spread. An optimal control de- sign using Pontryagin Minimum Principles (PMP) is applied to minimize the number of exposed and infected individuals, and the implementation cost of the interventions associated with the controls. However, there is a weakness in ma- thematical modeling that is the parametric uncertainties. Designing robust con- trols can accommodate the uncertainty factors. Design of a Parallel Distributed Compensation (PDC) controller with control constraint on the Takagi-Sugeno fuzzy (T-S fuzzy) system can overcome the bounded parametric uncertainti- es. The T-S fuzzy system gives an input-output relationship identical to that of the nonlinear control system that described by a set of fuzzy implications (if-then). Furthermore, the focus of T-S fuzzy is to minimize the number of infected individuals to 0 (no individuals are infected) can be grouped according to some suitable membership function. The HFMD epidemic model was ana- lyzed through three strategies control that are vaccine, treatment clinically, and vaccine and treatment clinically simultaneously. Numerical simulations of two controller designs show that implementation vaccine and treatment simultaneo- usly can minimize the number of infected individuals. However, the numerical simulation for the parametric uncertainties system show that the preventive action by implementation of vaccines are more recommended.