Robust H∞ control with time-delay in controller for dynamic non-linear discrete systems

This paper deals with the problems of robust H_∞ control for uncertain time-delay non-linear discrete systems. The parametric uncertainties are time-varying as well as norm bounded. Robust H_∞ controller designed contains state feedback and time-delay state feedback. Based on the Lyapunov method, the state feedback H_∞ control design for robust stability is given in terms of solutions to linear matrix inequality (LMI). The solutions of the LMI can be easily obtained using Matlab toolbox. At last, a numerical example and simulation are included to illustrate the design procedures.