Abstract
In this paper, a balanced truncation type of reduction is proposed for unstable continuous-time systems which is based on unstable system reduction originally proposed for discrete systems. This is achieved by first deriving a link between continuous-time and discrete-time systems which is called the extended bilinear mapping. Using this mapping, an unstable continuous-time system reduction method along with its error bounds is then derived. A numerical example is provided to illustrate the effectiveness of the method and a comparison with other relevant methods in the literature is also included.
| Original language | English |
|---|---|
| Pages (from-to) | 615-635 |
| Number of pages | 21 |
| Journal | Acta Mathematica Vietnamica |
| Volume | 42 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Dec 2017 |
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Balanced Generalized Singular Perturbation Method for Unstable Linear Time Invariant Continuous Systems. / Minh, Ha Binh; Minh, Chu Binh; Sreeram, Victor.
In: Acta Mathematica Vietnamica, Vol. 42, No. 4, 01.12.2017, p. 615-635.Research output: Contribution to journal › Article
TY - JOUR
T1 - Balanced Generalized Singular Perturbation Method for Unstable Linear Time Invariant Continuous Systems
AU - Minh, Ha Binh
AU - Minh, Chu Binh
AU - Sreeram, Victor
PY - 2017/12/1
Y1 - 2017/12/1
N2 - In this paper, a balanced truncation type of reduction is proposed for unstable continuous-time systems which is based on unstable system reduction originally proposed for discrete systems. This is achieved by first deriving a link between continuous-time and discrete-time systems which is called the extended bilinear mapping. Using this mapping, an unstable continuous-time system reduction method along with its error bounds is then derived. A numerical example is provided to illustrate the effectiveness of the method and a comparison with other relevant methods in the literature is also included.
AB - In this paper, a balanced truncation type of reduction is proposed for unstable continuous-time systems which is based on unstable system reduction originally proposed for discrete systems. This is achieved by first deriving a link between continuous-time and discrete-time systems which is called the extended bilinear mapping. Using this mapping, an unstable continuous-time system reduction method along with its error bounds is then derived. A numerical example is provided to illustrate the effectiveness of the method and a comparison with other relevant methods in the literature is also included.
KW - Balanced generalized singular perturbation
KW - Balanced truncation
KW - Error bounds
KW - Unstable systems
UR - http://www.scopus.com/inward/record.url?scp=85030314969&partnerID=8YFLogxK
U2 - 10.1007/s40306-017-0215-2
DO - 10.1007/s40306-017-0215-2
M3 - Article
VL - 42
SP - 615
EP - 635
JO - Acta Mathematica Vietnamica
JF - Acta Mathematica Vietnamica
SN - 0251-4184
IS - 4
ER -