Global regulation performance indices and the orthogonality of the eigenvector set

Author

Wang, Dahai ; Qiu, Haiming ; Rao, Ming

Author_Institution

Autom. Inst., Hebei Acad. of Sci., Shijiazhuang, China

Volume

2

fYear

1994

fDate

29 June-1 July 1994

Firstpage

2372

Abstract

The relationship between the global regulation dynamic performance indices and the orthogonality of the system eigenvectors is discussed. The result has previously been presented by the authors (1993) without proof. The relationship is analyzed and the result is proved. It is shown that among all systems with the same distinct pole set, the system with a complete orthonormal eigenvector set has minimum global regulation index values. It also means that the calculable regulation dynamic performance indices are the good measurement of the system performance, since it has been proved that better orthogonality of the system eigenvector set brings lager robust stable bound of the system.

Keywords

control system analysis; eigenvalues and eigenfunctions; performance index; poles and zeros; robust control; eigenvector set; global regulation performance indices; orthogonality; pole set; robust stable bound; system performance; Automation; Chemical engineering; Eigenvalues and eigenfunctions; Equations; Erbium; Linear matrix inequalities; Linear systems; Robustness; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1994

Print_ISBN

0-7803-1783-1

Type

conf

DOI

10.1109/ACC.1994.752505

Filename

752505