GAIN SPACE STABILITY ANALYSIS OF NONLINEAR SYSTEMS UNDER PI CONTROL.

Eugene Boe, Shyh-Hong Hwang, Hsueh Chia Chang

Research output: Contribution to journalConference article

3 Citations (Scopus)

Abstract

The nonlinear stability of general systems under single-loop proportional integral (PI) control is examined. The analysis focuses on the positive feedback region of the gain space, which is important, for instance, when the system is open-loop unstable. By analyzing the normal form equation about a critical gain setting, the nonlinear stability and dynamics are classified for such systems. Criteria for global stability and sensitivity of system stability to set-point change and/or error are derived on the basis of the derivatives of the nonlinear gain curve. Some of the results are demonstrated experimentally.

Original languageEnglish
Pages (from-to)263-269
Number of pages7
JournalProceedings of the American Control Conference
Publication statusPublished - 1987 Dec 1

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Nonlinear systems
Open systems
System stability
Derivatives
Feedback

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

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abstract = "The nonlinear stability of general systems under single-loop proportional integral (PI) control is examined. The analysis focuses on the positive feedback region of the gain space, which is important, for instance, when the system is open-loop unstable. By analyzing the normal form equation about a critical gain setting, the nonlinear stability and dynamics are classified for such systems. Criteria for global stability and sensitivity of system stability to set-point change and/or error are derived on the basis of the derivatives of the nonlinear gain curve. Some of the results are demonstrated experimentally.",
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GAIN SPACE STABILITY ANALYSIS OF NONLINEAR SYSTEMS UNDER PI CONTROL. / Boe, Eugene; Hwang, Shyh-Hong; Chang, Hsueh Chia.

In: Proceedings of the American Control Conference, 01.12.1987, p. 263-269.

Research output: Contribution to journalConference article

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AU - Boe, Eugene

AU - Hwang, Shyh-Hong

AU - Chang, Hsueh Chia

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N2 - The nonlinear stability of general systems under single-loop proportional integral (PI) control is examined. The analysis focuses on the positive feedback region of the gain space, which is important, for instance, when the system is open-loop unstable. By analyzing the normal form equation about a critical gain setting, the nonlinear stability and dynamics are classified for such systems. Criteria for global stability and sensitivity of system stability to set-point change and/or error are derived on the basis of the derivatives of the nonlinear gain curve. Some of the results are demonstrated experimentally.

AB - The nonlinear stability of general systems under single-loop proportional integral (PI) control is examined. The analysis focuses on the positive feedback region of the gain space, which is important, for instance, when the system is open-loop unstable. By analyzing the normal form equation about a critical gain setting, the nonlinear stability and dynamics are classified for such systems. Criteria for global stability and sensitivity of system stability to set-point change and/or error are derived on the basis of the derivatives of the nonlinear gain curve. Some of the results are demonstrated experimentally.

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