Stability and performance recovery within discretized non-linear control systems

Author

Herrmann, Guido ; Spurgeon, Sarah K. ; Edwards, Christopher

Author_Institution

Control & Instrum. Res. Group, Leicester Univ., UK

Volume

6

fYear

2003

fDate

9-12 Dec. 2003

Firstpage

5985

Abstract

In this paper, a closed-loop fast sampling analysis of a discretized (emulated) continuous-time controller in a sampled-data environment is presented. The analysis involves a more general weighted version of the L_p-norm. This allows a qualitative and quantitative stability and performance analysis for an emulated controller. A well-known example is evaluated to show the relevance of these results for the analysis of sampled-data implementations and the computation of quantitative sampling time limits for recovery of stability and performance.

Keywords

closed loop systems; continuous time systems; nonlinear control systems; sampled data systems; stability; L_p-norm; closed-loop fast sampling analysis; continuous-time controller; discretized nonlinear control systems; emulated controller; qualitative stability; quantitative stability; sampled-data environment; Asymptotic stability; Control systems; Data analysis; Frequency; Instruments; Nonlinear control systems; Performance analysis; Robustness; Sampling methods; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2003. Proceedings. 42nd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7924-1

Type

conf

DOI

10.1109/CDC.2003.1271968

Filename

1271968