DocumentCode :
823367
Title :
On a certain class of nonlinear control systems
Author :
Hahn, H.
Author_Institution :
Institut für Informationsverarbeitung der Universität Tübingen, Tübingen, Köstlinstrasse, West Germany
Volume :
22
Issue :
1
fYear :
1977
fDate :
2/1/1977 12:00:00 AM
Firstpage :
119
Lastpage :
121
Abstract :
Nonlinear systems of the following type (I): \\dot{x}_{i} = {{n \\atop \\sum} \\atop j=1} (a_{ij} + k\\cdot b_{ij})\\cdot x_{j} + {{p \\atop \\sum} \\atop j=1} d_{ij}\\cdot u_{j} + {{n \\atop \\sum} \\atop j,k=1} n_{ijk}\\cdot x_{j}\\cdot x_{k} + {{n \\atop \\sum} \\atop j,k,l=1} m_{ijkl}\\cdot x_{j}\\cdot x_{k}\\cdot x_{l} \\hbox{ } (k \\in R^{1},k feedback factor, i = 1,...,n ) have recently been investigated from the point of view of practical stability [1]. This note shows how to model type (I) systems as feedback systems consisting of "general quadratic and cubic" plants and controllers. Certain nonanalytic nonlinear systems can approximately be treated within the framework of this model.
Keywords :
Bilinear systems, continuous-time; Multilinear systems, continuous-time; Nonlinear systems, continuous-time; Control systems; Damping; Design methodology; Feedback; Linear systems; Nonlinear control systems; Relays; Satellites; Spinning; Stability;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1977.1101432
Filename :
1101432
Link To Document :
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