Robust reliability method for stabilizing controller design of systems with uncertain parameters

Uncertain parameters of control system are represented by interval variables, the issue of robust stabilization of uncertain systems are studied from the new viewpoint of reliability. A new robust reliability method for stabilizing controller design of uncertain systems is presented based on quadratic stability criterion. A controller designed by the proposed method could satisfy requirement for robust reliability in the sense of quadratic stability, and the maximum robustness bounds of the basic uncertain parameters could be provided. The presented formulations are within the framework of linear matrix inequality (LMI), and are convenient to implement. The proposed method is suitable for both the cases that the bounds of uncertain parameters are known and unknown. It is shown by numerical simulations and comparison with available results of a numerical example that the increasing of conservatism in controller design by traditional methods does not means the increasing of reliability. The effectiveness and feasibility of the presented method is also demonstrated by the example.