Design of Non-fragile Tolerant Tracking Controller based on State Feedback Fault

The fault-tolerant follow-up controller on the basis of linear matrix inequality approach is researched aim at liner time systems. The export of the controlled systema track the export of the specific signal by means of the fault-tolerant tracking controller. Different from the existent researching works, in the scheme course of follow-up controller, we suppose that the follow-up controller has indeterminate noise, namely, non-fragility. Therefore, the follow-up controller we designed has the capacity to resistance interior noise. At the same time, the fault-tolerant control problem when the state variable signal fails is considered, and the tracking control performance can be guaranteed when the state signal feedback fails. Using H
∞
theory and Lyapunov theory for stable analysis. The solved conditions of the error-resilient tracking controller was researched in the form of linear matrix inequality approach, and gain parameters of controller can be directly solved through the LMIs tools box. Finally, the effectiveness of designed non-fragility fault-tolerant follow-up control unit is evidenced by simulation experiments.