Abstract: Robust control for Delta operator discrete systems with uncertainties is considered. The conditions of the existence of the robust controllers are given by a set of linear matrix inequalities, which facilitate the solutions of the robust controllers. The proposed method is applied to satellite attitude controller design to cope with the errors arising while linearization procedure. Numerical simulations are conducted, and the results justify the feasibility of the proposed method.

Key words: Delta operator system, uncertain system, robust control, attitude control, linear matrix inequality