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Order reduction of SISO nonminimum-phase stochastic systems

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1 Author(s)
Tugnait, J.K. ; Exxon Production Research Company, Houston, TX, USA

We consider the order reduction problem for single-input/ single-output nonminimum-phase linear stochastic systems. The problem is formulated as that of approximating the original system-output process by another stochastic process generated via a reduced-order model. It is shown that in order to obtain a "correct" phase approximation, it is necessary to consider some higher order statistics of the original process in addition to the usual second-order statistics. A computationally feasible approximation criterion is proposed and analyzed. An example is also presented to illustrate the proposed method.

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Automatic Control, IEEE Transactions on  (Volume:31 ,  Issue: 7 )