Linear Matrix Inequality Formulation of Fault-Tolerant Control Systems Design

摘要

This paper presents a new approach for designing fault-tolerant control systems. This approach is based on the linear matrix inequality (LMI) framework. The design objectives of fault-tolerance and robust performance and stability requirements are formulated in a number of linear matrix inequalities. The satisfaction of design requirements leads to a multi-objective optimisation problem which is solved using LMI tool. The paper studies the flight control problem of an unmanned aircraft in the caseof suffering battle damage on its wing. The simulation results shows that the robust stability and satisfactory performance can be maintained in the presence of faults.