### Abstract

Constraints on the magnitudes of control variables limit the region where open-loop unstable systems can be stabilized using feedback control. Variations in regions of stability with unequal control saturation limits and nonzero set points are illustrated for single-input unstable linear systems which have one or two unstable eigenvalues. The regions of stability for saddle-point- and unstable-node-type singularities increase with the increase in one of the saturation limits, but they become invariant when the larger control limit exceeds a certain value. The stability regions vanish for nonzero set-points that saturate the controls. The unstable-focus-type singularity exhibits different characteristics. These results suggest guidelines for obtaining desired stability regions for different types of singularities.

Original language | English (US) |
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Pages (from-to) | 304-305 |

Number of pages | 2 |

Journal | Proceedings of the IEEE Conference on Decision and Control |

State | Published - Dec 1 1985 |

### All Science Journal Classification (ASJC) codes

- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality

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## Cite this

*Proceedings of the IEEE Conference on Decision and Control*, 304-305.