Observer design of discrete-time T-S fuzzy systems via an efficient multi-instant fuzzy observer

The problem of reducing conservatism of observer design of discrete-time Takagi-Sugeno fuzzy systems is addressed via a new kind of fuzzy observer. The so-called multi-instant fuzzy observer is parameter-dependent on both past-time and current-time normalized fuzzy weighting functions. Since more information about the underlying fuzzy systems could be involved into observer design, the conservatism of observer design for discrete-time Takagi-Sugeno fuzzy systems can be significantly reduced. In particular, some existing fuzzy observers are special cases of the multi-instant fuzzy observer proposed in this paper. Finally, a numerical example is given to illustrate the effectiveness of the proposed results.