Smith predictor structure stability analysis using Mikhailov stability criterion

Pauline Sourdille; Aidan O'Dwyer; Eugene Coyle

doi:10.21427/kp1b-6034

Smith predictor structure stability analysis using Mikhailov stability criterion

Pauline Sourdille, Aidan O'Dwyer, Eugene Coyle

Technological University Dublin

Research output: Contribution to conference › Paper › peer-review

Abstract

As is well known, stability is an important requirement for control systems. Due to the nature of time-delay processes, common methods to evaluate stability may be difficult to use. In 1938, Mikhailov proved a frequency response criterion, which is sufficient and necessary for the stability of processes described by known n-th order constant coefficient linear differential equations. This paper presents the Mikhailov method and the application of this method to a Smith predictor structure controlled by a PI controller.

Original language	English
DOIs	https://doi.org/10.21427/kp1b-6034
Publication status	Published - 2005
Event	4th Wismarer Automatisierungssymposium - Wismar, Germany Duration: 22 Sep 2023 → 23 Sep 2023

Conference

Conference	4th Wismarer Automatisierungssymposium
Country/Territory	Germany
City	Wismar
Period	22/09/23 → 23/09/23

Keywords

stability
control systems
time-delay processes
Mikhailov stability criterion
frequency response
Smith predictor
PI controller

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10.21427/kp1b-6034Licence: CC BY-NC-SA

Cite this

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title = "Smith predictor structure stability analysis using Mikhailov stability criterion",

abstract = "As is well known, stability is an important requirement for control systems. Due to the nature of time-delay processes, common methods to evaluate stability may be difficult to use. In 1938, Mikhailov proved a frequency response criterion, which is sufficient and necessary for the stability of processes described by known n-th order constant coefficient linear differential equations. This paper presents the Mikhailov method and the application of this method to a Smith predictor structure controlled by a PI controller.",

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AU - Sourdille, Pauline

AU - O'Dwyer, Aidan

AU - Coyle, Eugene

PY - 2005

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N2 - As is well known, stability is an important requirement for control systems. Due to the nature of time-delay processes, common methods to evaluate stability may be difficult to use. In 1938, Mikhailov proved a frequency response criterion, which is sufficient and necessary for the stability of processes described by known n-th order constant coefficient linear differential equations. This paper presents the Mikhailov method and the application of this method to a Smith predictor structure controlled by a PI controller.

AB - As is well known, stability is an important requirement for control systems. Due to the nature of time-delay processes, common methods to evaluate stability may be difficult to use. In 1938, Mikhailov proved a frequency response criterion, which is sufficient and necessary for the stability of processes described by known n-th order constant coefficient linear differential equations. This paper presents the Mikhailov method and the application of this method to a Smith predictor structure controlled by a PI controller.

KW - stability

KW - control systems

KW - time-delay processes

KW - Mikhailov stability criterion

KW - frequency response

KW - Smith predictor

KW - PI controller

U2 - 10.21427/kp1b-6034

DO - 10.21427/kp1b-6034

M3 - Paper

T2 - 4th Wismarer Automatisierungssymposium

Y2 - 22 September 2023 through 23 September 2023

ER -

Smith predictor structure stability analysis using Mikhailov stability criterion

Abstract

Conference

Keywords

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