2012
IMAACA 2012 Proceeding
Robust controllability sets of linear and saturated linear strategies with discontinuous gains
Authors: Valery Glizer, Vladimir Turetsky, Josef Shinar
Abstract
A linear system with scalar control and disturbance is considered. The robust controllability of this system to a given target set is studied in the classes of linear and saturated linear strategies. In previous works, the analysis of this problem was limited to continuous sign- constant gains. Such an approach has been inspired by those practical problems, where the control coefficient function in the scalar system, corresponding to the original one, is sign-constant. For systems of sign- varying control coefficient functions using a sign- varying discontinuous gain is proposed. It is shown that using such a gain considerably increases the robust controllability set of the corresponding strategy.
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