STABILITY BOUNDARIES FOR CLOSED-LOOP SYSTEMS WITH CONTROL CONSTRAINTS.

Prakash C. Shrivastava; Robert F. Stengel

doi:10.1109/cdc.1984.272236

STABILITY BOUNDARIES FOR CLOSED-LOOP SYSTEMS WITH CONTROL CONSTRAINTS.

Prakash C. Shrivastava, Robert F. Stengel

Mechanical & Aerospace Engineering

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

3 Scopus citations

Abstract

Constraints on the magnitudes of control variables limit the region where unstable systems can be stabilized using feedback control. Stability boundaries must be evaluated to ensure satisfactory system performance. A method is presented to determine the stability boundaries for linear second-order plants with saturating control and several classes of open loop instability. In the saddle-point case, the modal axes of the stable mode centered on the equilibrium points and the saturation boundaries establish the regions of stability. For unstable nodes and foci, the stability boundaries are represented by unstable limit cycles enclosing the stable origin. The stability regions vary with changes in feedback gain. These results have fundamental significance for determining the degree to which unstable plants can be controlled in practical applications.

Original language	English (US)
Pages (from-to)	1326-1329
Number of pages	4
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/cdc.1984.272236
State	Published - 1984

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/cdc.1984.272236

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title = "STABILITY BOUNDARIES FOR CLOSED-LOOP SYSTEMS WITH CONTROL CONSTRAINTS.",

abstract = "Constraints on the magnitudes of control variables limit the region where unstable systems can be stabilized using feedback control. Stability boundaries must be evaluated to ensure satisfactory system performance. A method is presented to determine the stability boundaries for linear second-order plants with saturating control and several classes of open loop instability. In the saddle-point case, the modal axes of the stable mode centered on the equilibrium points and the saturation boundaries establish the regions of stability. For unstable nodes and foci, the stability boundaries are represented by unstable limit cycles enclosing the stable origin. The stability regions vary with changes in feedback gain. These results have fundamental significance for determining the degree to which unstable plants can be controlled in practical applications.",

author = "Shrivastava, {Prakash C.} and Stengel, {Robert F.}",

year = "1984",

doi = "10.1109/cdc.1984.272236",

language = "English (US)",

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

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T1 - STABILITY BOUNDARIES FOR CLOSED-LOOP SYSTEMS WITH CONTROL CONSTRAINTS.

AU - Shrivastava, Prakash C.

AU - Stengel, Robert F.

PY - 1984

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N2 - Constraints on the magnitudes of control variables limit the region where unstable systems can be stabilized using feedback control. Stability boundaries must be evaluated to ensure satisfactory system performance. A method is presented to determine the stability boundaries for linear second-order plants with saturating control and several classes of open loop instability. In the saddle-point case, the modal axes of the stable mode centered on the equilibrium points and the saturation boundaries establish the regions of stability. For unstable nodes and foci, the stability boundaries are represented by unstable limit cycles enclosing the stable origin. The stability regions vary with changes in feedback gain. These results have fundamental significance for determining the degree to which unstable plants can be controlled in practical applications.

AB - Constraints on the magnitudes of control variables limit the region where unstable systems can be stabilized using feedback control. Stability boundaries must be evaluated to ensure satisfactory system performance. A method is presented to determine the stability boundaries for linear second-order plants with saturating control and several classes of open loop instability. In the saddle-point case, the modal axes of the stable mode centered on the equilibrium points and the saturation boundaries establish the regions of stability. For unstable nodes and foci, the stability boundaries are represented by unstable limit cycles enclosing the stable origin. The stability regions vary with changes in feedback gain. These results have fundamental significance for determining the degree to which unstable plants can be controlled in practical applications.

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JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

ER -

STABILITY BOUNDARIES FOR CLOSED-LOOP SYSTEMS WITH CONTROL CONSTRAINTS.

Abstract

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