H∞ guaranteed cost control for time-delay uncertain discrete systems

This paper studies the problem of robust H_∞ guaranteed cost control for a class of time-varying uncertain discrete systems with both state and input delays. Suppose that the time-varying uncertain parameters are norm-bounded, but the matched conditions are not required to satisfy. A new sufficient condition of H_∞ robust stabilization and satisfies guaranteed cost index is given for the systems by linear matrix inequalities approach. Robust H_∞ guaranteed cost controllers can be obtained only from solving corresponding linear matrix inequalities such that a guaranteed cost function for the closed-loop systems has an upper bound irrespective of all admissible parameters uncertainties. Furthermore, the upper bound can be optimized by incorporating with a minimum problem. A numerical example is given to show the potential of the proposed techniques