Overlapping decomposition and control for interconnect system based on fuzzy dynamic model

A kind of uncertain interconnected systems is modeled by fuzzy dynamic models in this paper. Based on the fuzzy modeling, the system overlapping structures are decomposed according to restriction and aggregation conditions of the inclusion principle. In the expanded space, the decentralized linear quadratic controls are designed for decoupled subsystems, then contracted and implemented in the original space. Genetic algorithm is used in search for the optimal index matrix parameters and decomposition factor, which ensures the stability and dynamic performance indices of the system.