Design of Unknown Input Functional Observers for Delayed Singular Systems with State Variable Time Delay
نویسنده
چکیده
In this paper, we propose a new time-domain design of an Unknown Input functional Observer (UIFO) for delayed singular systems with known and unknown inputs. The order of this observer is equal to the dimension of the vector to be estimated. Constant and variable delays act on the known input vectors and a variable state delay is also taken into account. The proposed approach is based on the unbiasedness of the estimation error and Lyapunov-Krasovskii stability theorem. The observer optimal gain satisfies a sufficient condition of the observer stability dependent on the state delay. This condition is expressed in term of Linear Matrix Inequalities (LMIs) formulation. The proposed approach is tested on a numerical example. Key–Words: LMI, observer, stability, singular system, unknown input, variable time delay.
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