On stability radius and state feedback

R. Rajamani; Y. M. Cho

On stability radius and state feedback

R. Rajamani
, Y. M. Cho

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

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/σ_max (B) B) is greater than γ. An analytical solution is provided for such a real feedback matrix K.

Original language	English (US)
Pages (from-to)	99-103
Number of pages	5
Journal	Control and Intelligent Systems
Volume	32
Issue number	2
State	Published - Apr 23 2004

Keywords

Distance to uncontrollability
Distance to unstabilizability
Stability radius

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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.",

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AU - Cho, Y. M.

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N2 - 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.

AB - 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.

KW - Distance to uncontrollability

KW - Distance to unstabilizability

KW - Stability radius

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SN - 1480-1752

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JO - Control and Intelligent Systems

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On stability radius and state feedback

Abstract

Keywords

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