Delay‐dependent adaptive reliable H ∞ control of linear time‐varying delay systems

This paper considers the problem of delay‐dependent adaptive reliable H ∞ controller design against actuator faults for linear time‐varying delay systems. Based on the online estimation of eventual faults, the parameters of adaptive reliable H ∞ controller are updating automatically to compensate the fault effects on the system. A new delay‐dependent reliable H ∞ controller is established using a linear matrix inequality technique and an adaptive method, which guarantees the stability and adaptive H ∞ performance of closed‐loop systems in normal and faulty cases. A numerical example and its simulation results illustrate the effectiveness of the proposed method. Copyright © 2008 John Wiley & Sons, Ltd.