Elsevier

Automatica

Volume 29, Issue 2, March 1993, Pages 479-484
Automatica

Brief paper
Stability robustness characterization and related issues for control systems design,☆☆

https://doi.org/10.1016/0005-1098(93)90142-GGet rights and content

Abstract

Two issues are addressed in this paper. First, we show that the H norm of a sensitivity function matrix for a stable multivariable closed loop system indicates its stability robustness in the sense of gain margin and phase margin. Second, we apply this result to the problem of synthesizing a robust stabilizing controller. The emphasis of the analysis is LQ feedback system design. The goal is to design an observer based controller such that the resulting closed loop system has the robustness property that an LQ state feedback system has. This is achievable if the sensitivity function of the observer based control system is very close to that of the state feedback system. The closeness is measured by the H norm and classical H optimization techniques are used for design.

References (11)

There are more references available in the full text version of this article.

Cited by (12)

View all citing articles on Scopus

The original version of this paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Associate Editor H. Kimura under the director of Editor H. Kwakernaak.

☆☆

This research was supported by the NSF under grants numbered DMS-87 22402 and DMS-90 02919.

View full text