H_∞ filter/controller design for discrete-time takagi-sugeno fuzzy systems with time delays

Unlike existing procedure, a simple transformation converting delay systems into non-delay systems to examine the stability of discrete-time fuzzy systems is proposed in this paper. And the advantage of the proposed method is that it can be specialized to the existing scheme. This method can be extended to deal with both control and filtering problems, therefore two sufficient conditions assuring the stability of filtering error system and closed-loop control system respectively are addressed in terms of LMIs. Also, H_∞ performance is considered in both design problems. Lastly, a filter design example illustrates the proposed design methodology.