Common observability Gramian assignment using discrete fuzzy control

Subject to an assigned common observability Gramian, the motivation of this paper is to find discrete fuzzy controllers for Takagi-Sugeno fuzzy systems. The approach developed in this paper is based the concept of Parallel Distributed Compensation (PDC). For each rule of the discrete Takagi-Sugeno fuzzy model, it shows how to parametrize the static linear feedback control gains to achieve a certain common observability Gramian for all subsystems.