Fault Detection Filter for Delta Operator-Based Systems with Time-Delay

This paper studies the design problem of robust fault detection filters for Delta operator discrete systems with state delays.Based on the traditional filter using the shift operator,a new filter model to fault detection for Delta operator systems with time-delay is given.Sufficient conditions for the existence of the robust fault detection filter and its explicit expressions are developed in terms of linear matrix inequalities(LMIs) approach.When LMIs are feasible,the optimal robust fault detection filters of Delta operator formulated systems are obtained.The presented results can bring the fault detection for continuous time systems and discrete time systems into the unified Delta operator framework.The simulations show the effectiveness of the proposed approach.