Decentralized control design for fuzzy large-scale systems: high-order uncertainty bound

A class of lager-scale uncertain interconnected systems is introduced. The uncertainty is bounded and the bound is in high-order form that may be due to the unknown parameters and input disturbance. The available information of the uncertainty is prescribed by fuzzy characteristics. A new decentralized control design is adopted for the system. The optimal design problem is solved by obtaining the minimization of a performance index with the decentralized control method which reflects the system's average fuzzy characteristics. The solution to this optimization system performance index is proved to be always exists and is unique. Furthermore, the closed-form expression of the solution is obtained. Finally, the special case that without the consideration of transient effect in limiting performance is shown for engineering significance.