Delay-dependent H∞H∞ control for uncertain fuzzy systems with time-varying delays

This paper addresses the robust stabilization and robust H∞H∞ control problems of uncertain fuzzy delayed systems via a parallel distributed compensation (PDC) scheme. The uncertainties are norm bounded, and the delay may be either constant or time varying, and either differentiable or non-differentiable. Presented in this paper are some robust stabilization and robust H∞H∞ control criteria, which are delay dependent in general and delay derivative dependent when the delay is differentiable. These results enjoy much less conservatism and more computational simplicity compared with those in the existing literature, and permit, if the delay is differentiable, the derivative to be larger than one. Some examples are given to illustrate the results in this paper.