Structural Robustness and Multi-Model Control in Gap Metric

The gap metric is a successful metric in control theory, which can measure the uncertainty and describe the performance specifcations of the robust control system. In the framework of this metric, robust stability radius is proposed to characterize the stability robustness of the closed-loop system. When both the plant and the controller have uncertainties simultaneously, we introduce the structural robust stability, and prove the necessary and sufficient conditions of the robust stability of the feedback control system. In this paper, we proposed a multi-model robust control method, where the robust stability radius is used to generate the weights. Last, the simulation of a typical nonlinear process can prove the valid of the new strategy.