Robust Hinfamp;#x221E;/inf control with time-delay in controller for dynamic non-linear discrete systems

摘要

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.