Application of interval analysis techniques to linear systems. I. Fundamental results

Author

Oppenheimer, Edward P. ; Michel, Anthony N.

Author_Institution

Appl. Phys. Lab., Johns Hopkins Univ., Laurel, MD, USA

Volume

35

Issue

9

fYear

1988

fDate

9/1/1988 12:00:00 AM

Firstpage

1129

Lastpage

1138

Abstract

The authors establish results for continuous and rational interval functions which are of interest in their own right and which may find future applications. These results are used to study interval matrix exponential functions and to devise a method of constructing augmented partial sums which approximate interval exponential functions as closely as desired. The results are used to develop an algorithm. The authors demonstrate the applicability of their results by considering three specific examples: an RLC circuit; an instrument servomechanism; and the design of a minimum plant sensitivity optimal regulator

Keywords

control system synthesis; linear network analysis; linear systems; matrix algebra; optimal control; topology; RLC circuit; augmented partial sums; instrument servomechanism; interval analysis techniques; interval matrix exponential functions; linear systems; minimum plant sensitivity optimal regulator; Algorithm design and analysis; Arithmetic; Capacitors; Differential equations; Instruments; Linear systems; Optimal control; RLC circuits; Resistors; Sensitivity analysis;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.7573

Filename

7573