The non-fragile performance for nonlinear systems

This paper shows the necessity of non-fragile controller which we demonstrate with an example. If once a system, its control law disturbed, it becomes sensitive to uncertainties and/or disturbances that affects its stabilizing gain. We focus, especially in this paper, on nonlinear uncertain polynomial systems presenting both uncertainties on the system parameters and on the controller gains. We propose a robust and nonfragile stabilizing approach, with maximization of the robustness measure for the considered class of nonlinear uncertain system. This approach shows the interesting to apply a non-fragile controller.