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This paper proposes a design of a H_¥ filter for a functional of the system state that the authors call functional H_¥ filter in time domain for linear singular systems with additional unknown inputs and bounded disturbances. So, this research proposes the estimation of a part of the unknown inputs which will be injected on the system state equation besides the functional state estimation. The design procedure is based on the unbiasedness of the estimation error using Lyapunov-Krasovskii stability theory and H_¥ criterion. The designed filter is characterized by a gain which is the solution of linear matrix inequalities (LMI). Numerical example is given to illustrate the proposed approach.

A New Design of a Functional H Filter for Linear Singular Systems With an Additional Unknown Input and Bounded Disturbances