Time-domain Pade approximation and modal-Pade method for multivariable systems

Bandyopadhyay, B. ; Lamba, S. (1987) Time-domain Pade approximation and modal-Pade method for multivariable systems IEEE Transactions on Circuits and Systems, 34 (1). pp. 91-94. ISSN 0098-4094

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Official URL: http://doi.org/10.1109/TCS.1987.1086030

Related URL: http://dx.doi.org/10.1109/TCS.1987.1086030

Abstract

This paper presents the time-domain Pade approximation and modal-Pade method for single and multivariable systems. In the first part of the paper, Pade equations are derived for SISO and MIMO systems by assuming a state-space description of the higher order system and its reduced order model. For a SISO system, it is shown that these Pade equations are the same as the Pade equations obtained by a frequency-domain procedure. However, for a multivariable system, it is shown that,. although a full Pade approximation exists in the frequency domain, the time-domain procedure leads only to a partial Pade approximation. In the next part, the time-domain modal-Pade method for SISO and MIMO systems is proposed. A relationship between the state vectors of the system and the model is derived for the modal-Pade reduction procedure and is referred to as an "exact aggregation matrix."

Item Type:Article
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