Non-fragile Bilinear State Feedback Controller for a Class of MIMO Bilinear Systems

In this paper, a non-fragile bilinear state feedback controller has been designed for multi-input multi-output (MIMO) bilinear systems. The controller fragility can be described as the sensitivity of the controller to variations in controller parameters to avoid any implementation error happens, the stability conditions of the overall closed loop MIMO bilinear systems in the presence of the additive controller gain perturbations are formulated in terms of Lyapunov via linear matrix inequality (LMI) and the gain of each non-fragile controller will be calculated by solving a set of (LMI). Finally, an application example of a Headbox control system of paper-making machine is used to illustrate the applicability of the proposed method.