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Reduced-order solutions for the singular H filtering problem

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2 Author(s)
Ariola, M. ; Dipt. di Informatica e Sistemistica, Univ. degli Studi di Napoli, Italy ; Pironti, A.

We consider the filtering H problem for linear time-varying systems. This problem has been already solved in the case when the direct feedthrough matrix F between the disturbance and the output vectors is full-row rank. Here, we consider the case when the problem is singular, that is when this feedthrough matrix is not full-row rank. We show that in this case a reduced-order observer can be designed to meet the desired performance. Moreover, we apply the obtained results to solve a particular H singular output feedback problem.

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Automatic Control, IEEE Transactions on  (Volume:48 ,  Issue: 2 )