Internet-based remote stabilization for nonlinear systems

This work presents Internet-based remote stabilization for nonlinear systems. In Internet-based remote control, we need to deal with time varying delays. If the system is nonlinear, the system is reduces to a time varying delay nonlinear control problem, which is the one of the most challenging control problems. We derive a design condition to stabilize the Internet-based remote control system. First, a class of nonlinear time varying delay systems is represented as the Takagi-Sugeno (T-S) fuzzy model. A model-based fuzzy stabilization design utilizing the concept of parallel-distributed compensation (PDC) is employed. A design condition is derived by considering time delay dependent sufficient conditions for ensuring the stability of closed-loop systems. In addition, the maximum time-delay for ensuring the stability of Internet-based remote control system can be obtained from the derived design condition. Simulation results show the utility of this proposed design approach.