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An LMI approach to fault-tolerant control of uncertain systems

In this paper, the robust fault-tolerant control problem is formulated in an linear matrix inequality (LMI) setting, in which satisfactory performance and guarantees stability robustness are introduced. To achieve both performance and stability robustness, a multiobjective approach is used to establish a matrix inequality formulation for fault-tolerant control system design which is based on the assumption that both fault effect factors and uncertainties can be of linear-fractional-transformation parameter dependence. An example of flight control system is used to demonstrates the design technique presented in this paper.