Low-order stabilizers for linear systems

Qing Guo Wang; Tong Heng Lee; Jian Bo He

doi:10.1016/S0005-1098(96)00192-6

Low-order stabilizers for linear systems

Qing Guo Wang, Tong Heng Lee, Jian Bo He

National University of Singapore

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

13 Citations (Scopus)

Abstract

The existence and construction of low-order stabilizers for linear systems are considered. Firstly, it is shown that for an all-pole plant the stability of the high-degree part of the plant transfer function's denominator guarantees the existence of a low-order stabilizer. Secondly, if this high-degree part is unstable, a method is presented to modify it such that the above result is applicable. Thirdly, an algorithm for constructing a low-order stabilizer for a general plant is developed where only a few linear algebraic equations need be solved. Several examples are included for illustration of the results.

Original language	English
Pages (from-to)	651-654
Number of pages	4
Journal	Automatica
Volume	33
Issue number	4
DOIs	https://doi.org/10.1016/S0005-1098(96)00192-6
Publication status	Published - Apr 1997
Externally published	Yes

Keywords

Linear systems
Low-order stabilizers
Output feedback
Stabilization
Transfer functions

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1016/S0005-1098(96)00192-6

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title = "Low-order stabilizers for linear systems",

abstract = "The existence and construction of low-order stabilizers for linear systems are considered. Firstly, it is shown that for an all-pole plant the stability of the high-degree part of the plant transfer function's denominator guarantees the existence of a low-order stabilizer. Secondly, if this high-degree part is unstable, a method is presented to modify it such that the above result is applicable. Thirdly, an algorithm for constructing a low-order stabilizer for a general plant is developed where only a few linear algebraic equations need be solved. Several examples are included for illustration of the results.",

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T1 - Low-order stabilizers for linear systems

AU - Wang, Qing Guo

AU - Lee, Tong Heng

AU - He, Jian Bo

PY - 1997/4

Y1 - 1997/4

N2 - The existence and construction of low-order stabilizers for linear systems are considered. Firstly, it is shown that for an all-pole plant the stability of the high-degree part of the plant transfer function's denominator guarantees the existence of a low-order stabilizer. Secondly, if this high-degree part is unstable, a method is presented to modify it such that the above result is applicable. Thirdly, an algorithm for constructing a low-order stabilizer for a general plant is developed where only a few linear algebraic equations need be solved. Several examples are included for illustration of the results.

AB - The existence and construction of low-order stabilizers for linear systems are considered. Firstly, it is shown that for an all-pole plant the stability of the high-degree part of the plant transfer function's denominator guarantees the existence of a low-order stabilizer. Secondly, if this high-degree part is unstable, a method is presented to modify it such that the above result is applicable. Thirdly, an algorithm for constructing a low-order stabilizer for a general plant is developed where only a few linear algebraic equations need be solved. Several examples are included for illustration of the results.

KW - Linear systems

KW - Low-order stabilizers

KW - Output feedback

KW - Stabilization

KW - Transfer functions

UR - http://www.scopus.com/inward/record.url?scp=0031108906&partnerID=8YFLogxK

U2 - 10.1016/S0005-1098(96)00192-6

DO - 10.1016/S0005-1098(96)00192-6

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SN - 0005-1098

VL - 33

SP - 651

EP - 654

JO - Automatica

JF - Automatica

IS - 4

ER -

Low-order stabilizers for linear systems

Abstract

Keywords

ASJC Scopus subject areas

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