Nonlinear Control Synthesis by Convex Optimization
Prajna, Stephen ; Parrilo, Pablo and Rantzer, Anders LU
(2004)
In IEEE Transactions on Automatic Control
49(2).
p.310-314
- Abstract
- A stability criterion for nonlinear systems, recently derived by thethird author, can be viewed as a dual to Lyapunov's second theorem.The criterion is stated in terms of a function which can beinterpreted as the stationary density of a substance that is generatedall over the state space and flows along the system trajectoriestowards the equilibrium.The new criterion has a remarkable convexity property, which in thispaper is used for controller synthesis via convex optimization. Recentnumerical methods for verification of positivity of multivariatepolynomials are used.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/161414
- author
- Prajna, Stephen
; Parrilo, Pablo
and Rantzer, Anders
LU
- organization
- publishing date
- 2004
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- semidefinite programming relaxation, Density functions, nonlinear control, sum of squares decomposition
- in
- IEEE Transactions on Automatic Control
- volume
- 49
- issue
- 2
- pages
- 310 - 314
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- wos:000189037200023
- scopus:1442288703
- ISSN
- 0018-9286
- DOI
- 10.1109/TAC.2003.823000
- language
- English
- LU publication?
- yes
- id
- bf54a206-66aa-493a-8722-87edf31e6504 (old id 161414)
- date added to LUP
- 2016-04-01 16:27:44
- date last changed
- 2023-11-14 11:41:18
@article{bf54a206-66aa-493a-8722-87edf31e6504,
abstract = {{A stability criterion for nonlinear systems, recently derived by thethird author, can be viewed as a dual to Lyapunov's second theorem.The criterion is stated in terms of a function which can beinterpreted as the stationary density of a substance that is generatedall over the state space and flows along the system trajectoriestowards the equilibrium.The new criterion has a remarkable convexity property, which in thispaper is used for controller synthesis via convex optimization. Recentnumerical methods for verification of positivity of multivariatepolynomials are used.}},
author = {{Prajna, Stephen and Parrilo, Pablo and Rantzer, Anders}},
issn = {{0018-9286}},
keywords = {{semidefinite programming
relaxation; Density functions; nonlinear control; sum of squares decomposition}},
language = {{eng}},
number = {{2}},
pages = {{310--314}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
series = {{IEEE Transactions on Automatic Control}},
title = {{Nonlinear Control Synthesis by Convex Optimization}},
url = {{https://lup.lub.lu.se/search/files/4680062/625600.pdf}},
doi = {{10.1109/TAC.2003.823000}},
volume = {{49}},
year = {{2004}},
}