A new metric for stability robustness

Author

Liang, Quan

Author_Institution

Dept. of Electr. Eng., Sichuan Inst. of Light Ind. & Chem. Technol., China

fYear

1993

fDate

15-17 Dec 1993

Firstpage

529

Abstract

This paper seeks to combine two concepts in mathematics, namely, arcwise connectivity and subspace gap, and propose a new metric for stability robustness analysis of linear time-invariant finite-dimensional control systems. This new metric is shown to possess the desired qualitative properties for the analysis of stability robustness and computational simplicity as well. Compared with the gap metric and pointwise gap metric, the distinct features of the new metric are that it can be used: to derive a necessary and sufficient condition on robust stability, to yield the same problem of robustness optimization for designing stabilizing controllers, to describe a larger class of perturbed plants, and to provide tighter estimates on stability robustness

Keywords

closed loop systems; control system synthesis; graph theory; matrix algebra; multidimensional systems; stability; arcwise connectivity; closed loop systems; complex matrix; finite dimensional control systems; graph topology; linear time invariant systems; metric; necessary condition; perturbed plants; robustness optimization; stability robustness; subspace gap; sufficient condition; uncertainty; Chemical technology; Control systems; Electrical equipment industry; Industrial control; Paper technology; Robust control; Robust stability; Robustness; Topology; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on

Conference_Location

San Antonio, TX

Print_ISBN

0-7803-1298-8

Type

conf

DOI

10.1109/CDC.1993.325091

Filename

325091