Robust reliability method and reliability‐based performance optimization for non‐fragile robust control design of dynamic system with bounded parametric uncertainties

Abstract

Summary An efficient robust reliability method for non‐fragile robust control design of dynamic system with bounded parametric uncertainties is presented systematically, in which the uncertainties existing in the controlled plant and controller realization are taken into account simultaneously in an integrated framework. Reliability‐based design optimization of non‐fragile robust control for parametric uncertain systems is carried out by optimizing the H2 and H∞ performances of the closed‐loop system, with the constraints on robust reliabilities. The non‐fragile robust controller obtained by the presented method may possess a coordinated optimum performance satisfying the precondition that the system is robustly reliable with respect to the uncertainties existing in controlled plant and controller. Moreover, the robustness bounds of uncertain parameters can be provided. The presented formulations are within the framework of linear matrix inequality and thus can be carried out conveniently. It is demonstrated by a numerical example that the presented method is effective and feasible. Copyright © 2016 John Wiley & Sons, Ltd.

Design of robust nonfragile H∞ controller for uncertain nonlinear polynomial systems

“…For state‐space linear systems, the design problem of nonfragile robust controllers, within an additive uncertainty, is considered in the work of Takahashi et al then extended in related works on H ∞ robust state feedback control of time‐delayed systems. The nonfragile H ∞ control for linear systems with multiplicative controller gain variations is considered in the work of Guo and Li . A nonfragile guaranteed‐cost control for uncertain systems is considered in other works .…”

“…The nonfragile H ∞ control for linear systems with multiplicative controller gain variations is considered in the work of Guo and Li. 9 A nonfragile guaranteed-cost control for uncertain systems is considered in other works. [10][11][12] For discrete time linear systems, the nonfragile robust H ∞ controller design was dealt with in related works.…”