### 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 language | English |
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Pages (from-to) | 263-269 |

Number of pages | 7 |

Journal | Proceedings of the American Control Conference |

Publication status | Published - 1987 Dec 1 |

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### All Science Journal Classification (ASJC) codes

- Electrical and Electronic Engineering

### Cite this

*Proceedings of the American Control Conference*, 263-269.

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*Proceedings of the American Control Conference*, pp. 263-269.

**GAIN SPACE STABILITY ANALYSIS OF NONLINEAR SYSTEMS UNDER PI CONTROL.** / Boe, Eugene; Hwang, Shyh-Hong; Chang, Hsueh Chia.

Research output: Contribution to journal › Conference article

TY - JOUR

T1 - GAIN SPACE STABILITY ANALYSIS OF NONLINEAR SYSTEMS UNDER PI CONTROL.

AU - Boe, Eugene

AU - Hwang, Shyh-Hong

AU - Chang, Hsueh Chia

PY - 1987/12/1

Y1 - 1987/12/1

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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M3 - Conference article

AN - SCOPUS:0023536952

SP - 263

EP - 269

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

SN - 0743-1619

ER -