Regions of stability with unequal saturation limits and non-zero set pointConstraints 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 non-zero 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 non-zero set-points that saturate the controls. The unstable-focus-type singularity exhibits strikingly different characteristics. These results suggest guidelines for obtaining desired stability regions for different types of singularities.
Document ID
19860058141
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Stengel, R. F. (Princeton University NJ, United States)
Shrivastava, P. C. (Princeton Univ. NJ, United States)