Robust Control For Uncertain Generalized Delta Computing Subsystems

Because singular systems are more general than normal systems and in real application it is more convenient and efficient that the dynamic model and static model of system are described by singular system. So, singular systems can widely apply in practical systems. From the end of last century to the present, control theory of singular systems get continuous exploration and research and obtain a lot of valuable theoretical achievements.Compared with the classical method in the traditional sense-shift operator method, delta operator method is more convenient and efficient in the process of discretization of continuous systems. It can avoid the ill-conditioned problem caused by the conventional method and the problem that discrete system model deviates from original system model when fast sampling is adopted. So, delta operator method has developed a lot since it was proposed in the 1980 years.This paper mainly studies the problem of robust admissible and robust control for singular delta operator systems through LMIs. Based on this, we study much further the problems of robust H? performance analysis and design method of the robust H? controller for singular delta operator systems. A numerical example is given by using Matlab-LMI toolbox and the simulation results show that the results are effective and better feasible for implementation.