Decentralized Robust Fuzzy Sliding Mode Control Design of Interconnected Uncertain System

We present a fuzzy approach to design a robust subop-timal control for decentralized interconnected system. NNi denote the non-linear interactions between the subsystems are uncertain and in many real-life situation it can be represented by the differences of actual behavior from nominal description of sub-systems (e, e). Fuzzy sliding mode control is designed for sub-system to track the prespecified trajectory in phase plane (e, e) according it's states (x,x). Fuzzy adaptation is proposed for tuning closed-related control subsystem on the sliding surface toward new equilibrium points. The adaptation strategy is determined by rule bases based on considering controller as PID controller with variable structure, switching between different PID settings with different inputs (e, e).