Robust Filtering of Linear Systems With Time-Varying Delay

A robust delay-dependent filtering design is proposed for linear continuous systems with parameter uncertainty and time-varying delay. The resulting filter is of the general linear observer type and it guar- antees that the induced -norm of the system, relating the exogenous sig- nals to the estimation error, is less than a prescribed level for all possible parameters that reside in a given polytope. Our design is based on the ap- plication of the descriptor model transformation and Park's inequality for the bounding of cross terms and is expected to be the least conservative as compared to existing design methods. A numerical example indeed demon- strates this advantage of the new filtering scheme.

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