Abstract
Necessary and sufficient stability conditions that place bounds on the current inputs are derived that guarantee BIBO stability and retain the control authority needed to asymptotically stabilize a system that is subject to physical input constraints. For open-loop stable systems, the stability conditions coincide with the physical constraints, but for unstable systems, tighter limits may be required. Use of these limits in a supervisory role with controllers that have no stability guarantee is discussed and illustrated.
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