Takagi-Sugeno fuzzy control for Multi-input Multi-output systems based on subspace state space identification

In this paper, we started from black box system without any prior knowledge of its dynamic behavior, we applied inputs and recording outputs data. From this data we ran three subspace state space algorithms which are: the Numerical algorithm for Subspace State Space System IDentification (N4SID) with its two versions 1, 2 and the Multivariable Output Error State (MOESP) algorithm to select the suited algorithm between them who reproduce with fidelity the real system dynamic with a minimum estimation error. Then, an improved control process developed for discrete-time Takagi-Sugeno system. This latter was formed by the selected identification algorithm.