Non-fragile Robust Control for Perturbed-Controller Systems

The design of the non-fragile robust performance is presented so that the common control system with the perturbations of the controlled members and the controllers can be solved. The delay and perturbations of parameters of the controllers can be converted those of the uncertainties about non-fragile robust mu-synthesis by the transformation of the mathematical model. It is suggested that a class of design problem of the non-fragile robust controller can be formulated as a mu-synthesis. The performance can be improved when the perturbations of the controlled members and the controllers of the system occurred. The selections of the weighting functions of the uncertainties and the performances are discussed. The algorithm about the solutions of the non-fragile robust mu-synthesis PI controllers of the system is studied. The parameters of the PI controllers are designed. The simulation results show that the proposed method is efficient and feasible