Robust control of discrete time systems in a Delta operator formulation

Robust H
∞
controller design is considered for uncertain Delta operator systems. Based on the bounded real lemma of Delta operator systems, the existence conditions of robust H
∞
controllers are presented in the form of a linear matrix inequality(LMI). The robust controller is then designed via solving the given inequality. Thus, with the aid of Matlab LMI Toolbox, the design procedure can be easily conducted. An example is given to show the effectiveness of the proposed algorithm.