TIME-DOMAIN PADE APPROXIMATION AND MODAL-PADE METHOD FOR MULTIVARIABLE SYSTEMS.

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作者
Bandyopadhyay, B. [1 ]
Lamba, S.S. [1 ]
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[1] Indian Inst of Technology, New Delhi, India, Indian Inst of Technology, New Delhi, India
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MATHEMATICAL TECHNIQUES - Time Domain Analysis - SYSTEMS SCIENCE AND CYBERNETICS - Multivariable Systems;
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摘要
The time-domain Pade approximation and modal-Pade method for single and multivariable systems are presented. Pade equations are derived for single-input/single output (SISO) and multi-input/multioutput (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. A time-domain modal-Pade method for SISO and MIMO systems is proposed. A relationship between the state vectors of the systems and the model is derived for the modal-Pade reduction procedure and is referred to as an exact aggregation matrix. 13 refs.
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页码:91 / 94
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