State Feedback Robust H∞ Stabilization for Linear Uncertain Systems with Actuator Faults

Abstract

This paper presents a new approach to address a passive fault-tolerant control problem for a linear uncertain system via a reliable state feedback robust H∞ controller. System uncertainties are structured and required to satisfy integral quadratic constraints. A solution to this control problem involves solving a parameterized Riccati inequality to achieve absolute stability of the resulting closed-loop system with a specified disturbance attenuation level. A feasible set of parameters is computed via solving a linear matrix inequality.