On Stabililty Radius and State Feedback

R. Rajamani and Y.M. Cho

Keywords

Stability radius, distance to uncontrollability, distance to unstabilizability

Abstract

This article relates the stability radius that can be achieved for the closed-loop matrix (A − BK) to the distance to unstabilizability of the pair (A, B). The authors show that a real matrix K exists such that the closed-loop matrix (A − BK) has a stability radius larger than γ if the distance to unstabilizability of the pair (A, γ/σmax(B), B) is greater than γ. An analytical solution is provided for such a real feedback matrix K.

Important Links:

Go Back