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Attraction domain estimate for single-input affine systems with constrained control
- Source :
- Automation and Remote Control. 78:581-594
- Publication Year :
- 2017
- Publisher :
- Pleiades Publishing Ltd, 2017.
-
Abstract
- Nonlinear single-input affine systems represented in a canonical (normal) form are considered. The control resource is assumed to be constrained. For a closed-loop system obtained by applying a linearizing feedback, the problem of finding an estimate of the attraction domain is set. A method for constructing an ellipsoidal estimate that is based on results of absolute stability theory is suggested. Construction of the estimate reduces to solving a system of linear matrix inequalities. The discussion is illustrated by numerical examples.
- Subjects :
- 0209 industrial biotechnology
Mathematical analysis
020101 civil engineering
02 engineering and technology
Attraction
Ellipsoid
Domain (mathematical analysis)
0201 civil engineering
Set (abstract data type)
Nonlinear system
020901 industrial engineering & automation
Affine combination
Control and Systems Engineering
Affine transformation
Electrical and Electronic Engineering
Control (linguistics)
Mathematics
Subjects
Details
- ISSN :
- 16083032 and 00051179
- Volume :
- 78
- Database :
- OpenAIRE
- Journal :
- Automation and Remote Control
- Accession number :
- edsair.doi...........ef2ecf3ed6e4c7febf77b2e4483fb6e0