Robust non-fragile H∞ control for nonlinear uncertain discrete systems with time-delays in state and input

This paper is concerned with the robust stability problem for a class of nonlinear uncertain discrete system with both states and input delays. The robust non-fragile Hœ controller with time-delay and uncertainties in the system parameters is designed. The uncertainties are norm-bounded and the states of the uncertain systems are available. Based on Lyapunov function method, some criteria are established to ensure the asymptotic stability and disturbance attenuation for the uncertain systems. The linear matrix inequality (LMI) optimization approach is used to solve the H∞ control disturbance attenuation problem. The significant improvement results for the uncertain discrete systems have been reached. The software Matlab can be applied to solve the proposed linear matrix inequality. Finally, numerical example is given to illustrate the improvement validity in this paper.