Robust H ∞ control for discrete-time fuzzy systems via basis-dependent Lyapunov functions

摘要: This paper deals with the robust H∞ control problem for a class of discrete-time fuzzy systems uncertainty. The uncertainty is assumed to be structured linear fractional form. By using basis-dependent Lyapunov function, an design approach developed. facilitated by introducing some additional instrumental matrix variables. These variables decouple and system matrices, which makes feasible. proposed leads sufficient results in form strict inequalities (LMIs). It expected that are less conservative than basis-independent ones due introduction function. Finally, numerical examples including discrete chaotic Lorenz also given demonstrate applicability approach.