Design of a full order H∞ filter using a polynomial approach

The paper deals with a frequency domain solution to the standard H∞ filtering problem for linear time-invariant multivariable systems where all measurements are affected by disturbances using a polynomial approach. The design procedure is first obtained by considering time domain solution which is related to a Riccati equation , and then due to the connecting relationship that parameterizes the dynamics behavior between time and frequency domain, given by Hippe, the full order filter representation in the frequency domain is obtained. The filter is easy to calculate as it requires the computation of a single gain and it is easily implementable also.

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