A New Technique for Partial Pole Placement using Constant Output-Feedback

M. T. Söylemez; N. Munro

doi:10.1109/CDC.1998.758542

A New Technique for Partial Pole Placement using Constant Output-Feedback

M. T. Söylemez
, N. Munro

University of Manchester

Research output: Contribution to journal › Conference article › peer-review

4 Citations (Scopus)

Abstract

A new technique is presented for partial pole placement of linear time-invariant systems. It is almost always possible to arbitrarily assign min(n,φ) poles using this_’ new method. Here n is the order_’ of the system, and φ Δ max(m,ℓ) + ⌊max(m, ℓ)/2⌋ +... + ⌊max(m ℓ)/min (m,ℓ)⌋ where m and C are the number of inputs and outputs, respectively, and 1.1 denotes the nearest integer lower than or equal to (ie. floor(.)). Only the normal procedures of linear algebra are required to implement the technique. We note that φ ≥ m + ℓ- 1, which has been a long-standing barrier for linear algebra methods in the partial pole placement problem.

Original language	English
Pages (from-to)	1722-1727
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	2
DOIs	https://doi.org/10.1109/CDC.1998.758542
Publication status	Published - 1998
Externally published	Yes
Event	Proceedings of the 1998 37th IEEE Conference on Decision and Control (CDC) - Tampa, FL, USA Duration: 16 Dec 1998 → 18 Dec 1998

Bibliographical note

Publisher Copyright:
© 1998 IEEE.

Keywords

Output Feedback
Pole Assignment
Pole Retainment

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10.1109/CDC.1998.758542

Cite this

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title = "A New Technique for Partial Pole Placement using Constant Output-Feedback",

abstract = "A new technique is presented for partial pole placement of linear time-invariant systems. It is almost always possible to arbitrarily assign min(n,φ) poles using this{\textquoteright} new method. Here n is the order{\textquoteright} of the system, and φ Δ max(m,ℓ) + ⌊max(m, ℓ)/2⌋ +... + ⌊max(m ℓ)/min (m,ℓ)⌋ where m and C are the number of inputs and outputs, respectively, and 1.1 denotes the nearest integer lower than or equal to (ie. floor(.)). Only the normal procedures of linear algebra are required to implement the technique. We note that φ ≥ m + ℓ- 1, which has been a long-standing barrier for linear algebra methods in the partial pole placement problem.",

keywords = "Output Feedback, Pole Assignment, Pole Retainment",

author = "S{\"o}ylemez, \{M. T.\} and N. Munro",

note = "Publisher Copyright: {\textcopyright} 1998 IEEE.; Proceedings of the 1998 37th IEEE Conference on Decision and Control (CDC) ; Conference date: 16-12-1998 Through 18-12-1998",

year = "1998",

doi = "10.1109/CDC.1998.758542",

language = "English",

volume = "2",

pages = "1722--1727",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0743-1546",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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TY - JOUR

T1 - A New Technique for Partial Pole Placement using Constant Output-Feedback

AU - Söylemez, M. T.

AU - Munro, N.

PY - 1998

Y1 - 1998

N2 - A new technique is presented for partial pole placement of linear time-invariant systems. It is almost always possible to arbitrarily assign min(n,φ) poles using this’ new method. Here n is the order’ of the system, and φ Δ max(m,ℓ) + ⌊max(m, ℓ)/2⌋ +... + ⌊max(m ℓ)/min (m,ℓ)⌋ where m and C are the number of inputs and outputs, respectively, and 1.1 denotes the nearest integer lower than or equal to (ie. floor(.)). Only the normal procedures of linear algebra are required to implement the technique. We note that φ ≥ m + ℓ- 1, which has been a long-standing barrier for linear algebra methods in the partial pole placement problem.

AB - A new technique is presented for partial pole placement of linear time-invariant systems. It is almost always possible to arbitrarily assign min(n,φ) poles using this’ new method. Here n is the order’ of the system, and φ Δ max(m,ℓ) + ⌊max(m, ℓ)/2⌋ +... + ⌊max(m ℓ)/min (m,ℓ)⌋ where m and C are the number of inputs and outputs, respectively, and 1.1 denotes the nearest integer lower than or equal to (ie. floor(.)). Only the normal procedures of linear algebra are required to implement the technique. We note that φ ≥ m + ℓ- 1, which has been a long-standing barrier for linear algebra methods in the partial pole placement problem.

KW - Output Feedback

KW - Pole Assignment

KW - Pole Retainment

UR - https://www.scopus.com/pages/publications/105037867616

U2 - 10.1109/CDC.1998.758542

DO - 10.1109/CDC.1998.758542

M3 - Conference article

AN - SCOPUS:105037867616

SN - 0743-1546

VL - 2

SP - 1722

EP - 1727

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - Proceedings of the 1998 37th IEEE Conference on Decision and Control (CDC)

Y2 - 16 December 1998 through 18 December 1998

ER -

A New Technique for Partial Pole Placement using Constant Output-Feedback

Abstract

Bibliographical note

Keywords

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