On output regulation of discrete-time T-S fuzzy systems

The output regulation problem is discussed for a class of discrete-time T-S fuzzy systems under periodic disturbances generated form the so-called exosystems. With the assumption that the subsystem in each rule is of the controllable canonical form, the regulation equations are solvable if and only if the poles of the exosystem are different from those of the fuzzy system. By exploiting the structural information encoded in the fuzzy rules, a piecewise state feedback control law can then be constructed to achieve asymptotic rejecting and/or tracking of the unwanted disturbances or the desired trajectory.