Abstract: This paper attempts to define the validity domain of
LSDP (Loop Shaping Design Procedure) controller system, by
determining the suitable uncertainty region, so that linear system be
stable. Indeed the LSDP controller cannot provide stability for any
perturbed system. For this, we will use the gap metric tool that is
introduced into the control literature for studying robustness
properties of feedback systems with uncertainty. A 2nd order electric
linear system example is given to define the validity domain of LSDP
controller and effectiveness gap metric.