Decentralized parallel distributed compensator design for Takagi-Sugeno fuzzy systems

This paper discusses decentralized parallel distributed compensator design for discrete-time Takagi-Sugeno fuzzy systems by means of overlapping decompositions. The fuzzy system is viewed as an interconnection of subsystems, some of which are strongly connected, while others being weakly connected. The necessary theory is developed so that one can associate this fuzzy system with another one in a higher dimensional, so called expanded space, design decentralized parallel distributed compensators in the expanded space, then contract the solution for implementation on the original fuzzy system. An example is given to illustrate the concepts discussed throughout the paper.