PDC Control of Time Delay Fuzzy T-S modeled HIV-1 System through Drug Dosage

This paper proposes a Time Delay nonlinear dynamic model of HIV-1 (Human Immunodeficiency Virus type 1), introducing the drug consumption efficiencies as the controlling input for the model. The paper also represents the fuzzy T-S representation and the corresponding Fuzzy T-S controller. The controller parameters are tuned using LMIs (Linear Matrix Inequalities). The main focus is on the stabilization problem for the resulting T-S fuzzy system with time-delay. In particular, it aims to present delay-dependent design of state feedback stabilizing fuzzy controller for the mentioned T-S fuzzy system with state delay. The design of the controller is based on the parallel distributed compensation.