Robust stability margins: robstab, wcgain, robgain example 2nd order system with uncertain damping

Antonio Sala, UPV

Difficulty: **** ,       Relevance: ,      Duration: 12:56

*Enlace a Spanish version

Summary:

This video discusses the meaning of the robust stability (or robust performance) margins given by the robstab (robust stability margin), wcgain (worst case gain) and robgain (robust performance margin) commands of Matlab’s Robust Control Toolbox.

For simplicity, the case of a second order uncertain open loop system (mass-spring-damper with uncertain damping) is addressed, although the most common use case of the commands is, indeed, for problems of robust control design, i.e., h-infinity and mu -synthesis; but here the objective is to understand the command outputs with a system that we physically understand, to verify that it coincides with what was intuitively expected.

*Link to my [ whole collection] of videos in English. Link to larger [ Colección completa] in Spanish.