Non-fragile Robust Control for Singular Systems with Nonlinear Perturbation

摘要

This note discusses the problem of non-fragile robust control for singular systems with nonlinear structured perturbations. These perturbations are functions of time that occur in the system states and satisfy Lipschitz constraint. By means of the Linear Matrix Inequality (LMI) approach, the sufficient conditions of existence and design approaches are presented for the corresponding non-fragile robust controllers, as well as the non-fragile robust guaranteed cost controllers, respectively. Finally, we provide a numerical example to demonstrate the effectiveness of the proposed approach.