Engineering topics

Abramovitch, Daniel Y.

Publications and source records attributed to Abramovitch, Daniel Y..

2 records

NASA NTRS1987

On the stability of adaptive pole-placement controllers with a saturating actuator

The question of how existing pole-placement algorithms work in the case of a saturating input is addressed. The stability of such algorithms and the modifications needed to make them work in the presence of saturation are examined. The net results of this examination are: a mathematical condition for closed-loop stability; physical intuition behind this condition; some explanation of why adaptive control has been successfully implemented, even while ignoring saturation; and some design rules for doing adaptive control on linear plants with saturating actuators.

Abramovitch, Daniel Y.↗

NASA NTRS1986

Adaptive control with saturating inputs

An extension of the results from Goodwin, Ramadge and Caines (1980) to the case where the input of the linear system saturates is presented. A necessary condition for closed loop stability of such a system is shown to be that the system must remain in a region from which y(t) = 0 is reachable with saturating inputs. With a slight modification of the original algorithm, the closed loop system is shown to be stable whenever the plant is exponentially stable.

Abramovitch, Daniel Y.↗