REGIONS OF STABILITY WITH UNEQUAL SATURATION LIMITS AND NON-ZERO SET POINT.

Prakash C. Shrivastava, Robert Frank Stengel

Research output: Contribution to journalArticle

2 Scopus citations

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 languageEnglish (US)
Pages (from-to)304-305
Number of pages2
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 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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