Minimal order realization with a special coordinate for matrix fraction descriptions

W. S. Chen; J. S.H. Tsai

doi:10.1016/0016-0032(93)90079-A

Minimal order realization with a special coordinate for matrix fraction descriptions

W. S. Chen, J. S.H. Tsai

Department of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

This paper presents a generalized and minimal realization algorithm for constructively determining generalized state-space representation from a so-called column (row)- pseudoproper or a column(row)-proper or a nonstrictly-proper right(left) matrix fraction description (MFD). The realized state-space representation form with a special coordinate is proved to be controllable and observable in the sense of Rosenbrock and Cobb; besides, the dimension of the system after realization is equal to the determinantal degree of the given right(left) MFD in the normal sense.

Original language	English
Pages (from-to)	815-839
Number of pages	25
Journal	Journal of the Franklin Institute
Volume	330
Issue number	5
DOIs	https://doi.org/10.1016/0016-0032(93)90079-A
Publication status	Published - 1993 Sept

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Signal Processing
Computer Networks and Communications
Applied Mathematics

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10.1016/0016-0032(93)90079-A

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title = "Minimal order realization with a special coordinate for matrix fraction descriptions",

abstract = "This paper presents a generalized and minimal realization algorithm for constructively determining generalized state-space representation from a so-called column (row)- pseudoproper or a column(row)-proper or a nonstrictly-proper right(left) matrix fraction description (MFD). The realized state-space representation form with a special coordinate is proved to be controllable and observable in the sense of Rosenbrock and Cobb; besides, the dimension of the system after realization is equal to the determinantal degree of the given right(left) MFD in the normal sense.",

author = "Chen, {W. S.} and Tsai, {J. S.H.}",

note = "Funding Information: is not in the form of(l), where x(t) E R” is the state, u(t) E R”{\textquoteright} is the feasible control input, d”(t) denotes the set of i times continuous differentiable functions of u(t), y(t) E R”is the measure output. Here it is assumed that u(t) is sufficiently continuous differentiable. The main feature of such systems is that their input and output *This work was supported by the National under contract NSC-8 1-0404-E-006-572. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",

year = "1993",

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doi = "10.1016/0016-0032(93)90079-A",

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AU - Tsai, J. S.H.

N1 - Funding Information: is not in the form of(l), where x(t) E R” is the state, u(t) E R”’ is the feasible control input, d”(t) denotes the set of i times continuous differentiable functions of u(t), y(t) E R”is the measure output. Here it is assumed that u(t) is sufficiently continuous differentiable. The main feature of such systems is that their input and output *This work was supported by the National under contract NSC-8 1-0404-E-006-572. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1993/9

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N2 - This paper presents a generalized and minimal realization algorithm for constructively determining generalized state-space representation from a so-called column (row)- pseudoproper or a column(row)-proper or a nonstrictly-proper right(left) matrix fraction description (MFD). The realized state-space representation form with a special coordinate is proved to be controllable and observable in the sense of Rosenbrock and Cobb; besides, the dimension of the system after realization is equal to the determinantal degree of the given right(left) MFD in the normal sense.

AB - This paper presents a generalized and minimal realization algorithm for constructively determining generalized state-space representation from a so-called column (row)- pseudoproper or a column(row)-proper or a nonstrictly-proper right(left) matrix fraction description (MFD). The realized state-space representation form with a special coordinate is proved to be controllable and observable in the sense of Rosenbrock and Cobb; besides, the dimension of the system after realization is equal to the determinantal degree of the given right(left) MFD in the normal sense.

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JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 5

ER -

Minimal order realization with a special coordinate for matrix fraction descriptions

Abstract

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