Robust stabilization and robust H∞ control of uncertain delta operator systems

For uncertain discrete time systems described by Delta operator, robust stabilization problem and H_∞ control problem are discussed. Based on the conception of quadratic stability and quadratic stabilization, linear matrix inequality method is applied to design robust stabilizers, and robust H_∞ controllers in the cases where external disturbances exist. All the results are presented in a set of linear matrix inequalities, which facilitates the design of controllers.