ABSTRACT
However, SMC should also be considered for systems with aftereffect2. Time delays are natural phenomena in numerous engineering devices [30, 31] and the modeling phase cannot neglect them when aiming for increased dynamic performance. Delays still constitute a classical source of control problems: they are reputed to cause oscillations and to deteriorate the stability of feedback systems3. Consequently, specific models, analysis and controllers (see a survey in [44]) must take into account the infinite dimensional nature of such systems. Even for linear models, the design of controllers is not obvious, mainly because applying the existing necessary and sufficient stability conditions is very tricky.
