Optimal Hinfinity state feedback for systems with symmetric and Hurwitz state matrix
(2016) American Control Conference, 2016 In American Control Conference (ACC), 2016 p.33663371 Abstract
 We address Hinfinity state feedback and give a simple form for an optimal control law applicable to linear time invariant systems with symmetric and Hurwitz state matrix. More specifically, the control law as well as the minimal value of the norm can be expressed in the matrices of the system's state space representation, given separate cost on state and control input. Thus, the control law is transparent, easy to synthesize and scalable. If the plant possesses a compatible sparsity pattern, it is also distributed. Examples of such sparsity patterns are included. Furthermore, if the state matrix is diagonal and the control input matrix is a nodelink incidence matrix, the openloop system's property of internal positivity is preserved by... (More)
 We address Hinfinity state feedback and give a simple form for an optimal control law applicable to linear time invariant systems with symmetric and Hurwitz state matrix. More specifically, the control law as well as the minimal value of the norm can be expressed in the matrices of the system's state space representation, given separate cost on state and control input. Thus, the control law is transparent, easy to synthesize and scalable. If the plant possesses a compatible sparsity pattern, it is also distributed. Examples of such sparsity patterns are included. Furthermore, if the state matrix is diagonal and the control input matrix is a nodelink incidence matrix, the openloop system's property of internal positivity is preserved by the control law. Finally, we give an extension of the optimal control law that incorporate coordination among subsystems. Examples demonstrate the simplicity in synthesis and performance of the optimal control law. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/15403740baf44f8b94267f1302dde3e1
 author
 Lidström, Carolina ^{LU} and Rantzer, Anders ^{LU}
 organization
 publishing date
 2016
 type
 Chapter in Book/Report/Conference proceeding
 publication status
 published
 subject
 keywords
 Distributed Control, Linear Systems, Hinfinity control
 in
 American Control Conference (ACC), 2016
 pages
 6 pages
 publisher
 IEEEInstitute of Electrical and Electronics Engineers Inc.
 conference name
 American Control Conference, 2016
 external identifiers

 scopus:84992108759
 ISBN
 9781467386838
 9781467386821
 DOI
 10.1109/ACC.2016.7525437
 language
 English
 LU publication?
 yes
 id
 15403740baf44f8b94267f1302dde3e1
 date added to LUP
 20161130 09:52:03
 date last changed
 20180529 09:33:08
@inproceedings{15403740baf44f8b94267f1302dde3e1, abstract = {We address Hinfinity state feedback and give a simple form for an optimal control law applicable to linear time invariant systems with symmetric and Hurwitz state matrix. More specifically, the control law as well as the minimal value of the norm can be expressed in the matrices of the system's state space representation, given separate cost on state and control input. Thus, the control law is transparent, easy to synthesize and scalable. If the plant possesses a compatible sparsity pattern, it is also distributed. Examples of such sparsity patterns are included. Furthermore, if the state matrix is diagonal and the control input matrix is a nodelink incidence matrix, the openloop system's property of internal positivity is preserved by the control law. Finally, we give an extension of the optimal control law that incorporate coordination among subsystems. Examples demonstrate the simplicity in synthesis and performance of the optimal control law.}, author = {Lidström, Carolina and Rantzer, Anders}, booktitle = {American Control Conference (ACC), 2016}, isbn = {9781467386838}, keyword = {Distributed Control,Linear Systems,Hinfinity control}, language = {eng}, pages = {33663371}, publisher = {IEEEInstitute of Electrical and Electronics Engineers Inc.}, title = {Optimal Hinfinity state feedback for systems with symmetric and Hurwitz state matrix}, url = {http://dx.doi.org/10.1109/ACC.2016.7525437}, year = {2016}, }