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.