Tolerable Inaccuracies in Linear State Feedback

Inaccuracies that a linear state feedback controller can tolerate before losing its ability to stabilize a given system are examined. For high gain feedback, these inaccuracies can be described by a cone in the feedback parameters\´ space, called the "tolerance cone". This cone describes fractional (percentage) errors the feedback controller can tolerate without jeopardizing the stability of the controlled system. The tolerance cone is determined by the proximity to singularity of a normalized version of the controlled system\´s controllability matrix.