HOSVD based computational complexity reduction of TS fuzzy models

One of the usual important criteria to be considered in real time control applications is the computational complexity of the controllers, observers and models applied. In this paper a higher order singular value decomposition (HOSVD) based complexity reduction technique is proposed to Takagi Sugeno (TS) fuzzy models, which is capable of defining the contribution of each local linear model included in the TS fuzzy model. This helps us with discarding the weakly contributing ones according to a given threshold. Reducing the number of models leads directly to the computational complexity reduction.