The Validity Range of LSDP Robust Controller by Exploiting the Gap Metric Theory

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 2 order electric linear system example is given to define the validity domain of LSDP controller and effectiveness gap metric. Keywords—LSDP, Gap metric, Robust Control.

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