Based on the achievements of H∞ robust control, a new robust fault-tolerant controller design method is proposed for a class of linear uncertain systems. When sensors and actuators fail in a specified subset and there are object disturbances and measurement noise, and the uncertainty has a bounded norm, a fault-tolerant robust controller is designed by constructing a deterministic auxiliary system and solving the positive solution of the Hamilton2Jacobi inequality. The controller has integrity to sensor and actuator failures and is robust to disturbances and uncertainties, ensuring the asymptotic stability and H∞ performance of the closed-loop system. The results show that this method provides a new way to solve the fault-tolerant control problem of a class of linear uncertain systems. Keywords: linear uncertain systems; sensor failures; actuator failures; integrity; fault-tolerant control; robust control; H∞ control
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