Presentation 2004/3/8
A Study on the Pole Assignment for the Three-Dimensional Systems (I)
Atsushi Kawakami,
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Abstract(in English) In the past, we proposed a method for assigning poles for three-dimensional systems described by the statespace model. In this method, we perform the state feedback and input transformation containing two-dimensional dynamic compensators on the given three-dimensional systems, so that we let the denominator polynomials of the transfer functions of the closed-loop systems coincide with the product of three one-dimensional polynomials whose roots are in the unit circle. We treat three-dimensional systems as one-dimensional systems over the field of two-dimensional rational functions, and perform two-dimensional dynamic feedback and input-transformation on them, so that we assign the desired poles. In this paper, we consider the possibility that these two-dimensional dynamic compensators are realizable, thoroughly, and propose the counter-measure in case that they are not realizable. And, we obtain the conditions so that the closed-loop three-dimensional systems are stable.
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Keyword(in English) pole assignment / three-dimensional systems / two-dimensional dynamic compensators / realizability / stability
Paper # CAS2003-119,DSP2003-221,CS2003-171
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Committee CS
Conference Date 2004/3/8(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
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Title (in English) A Study on the Pole Assignment for the Three-Dimensional Systems (I)
Sub Title (in English)
Keyword(1) pole assignment
Keyword(2) three-dimensional systems
Keyword(3) two-dimensional dynamic compensators
Keyword(4) realizability
Keyword(5) stability
1st Author's Name Atsushi Kawakami
1st Author's Affiliation Mathematics and Sciences Core, Kanazawa Institute of Technology()
Date 2004/3/8
Paper # CAS2003-119,DSP2003-221,CS2003-171
Volume (vol) vol.103
Number (no) 720
Page pp.pp.-
#Pages 6
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