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H∞ fault estimation for a class of nonlinear sampled-data systems with time delay

For a class of nonlinear system with time delay, under the existence of disturbances and faults, we take the sample period to discrete the system using Eular approximation to obtain the discrete mode. Then, we design and structure an observer of fault estimation for the discrete system, making the error system asymptotic stability, meanwhile, getting the fault estimation laws and the gain matrix of the observer. At last, a numerical example is provided to prove the effectiveness of this method.