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Observer-Based Strictly Positive Real (SPR) Variable Structure Output Feedback Control

Johansson, Rolf LU ; Robertsson, Anders LU and Shiriaev, Anton (2012) 12th International Workshop on Variable Structure Systems (VSS2012) In 2012 12th International Workshop on Variable Structure Systems (VSS) p.452-457
Abstract
This paper considers switching output feedback control of linear systems and variable structure systems. Theory for stability analysis and design for a class of observer-based feedback control systems is presented. A circle-criterion approach can be used to design an observer-based state feedback control which yields a closed-loop system with specified robustness characteristics. The approach is relevant for variable structure system design with preservation of stability when switching feedback control or sliding mode control is introduced in the feedback loop. It is shown that there exists a Lyapunov function valid over the total operating range and this Lyapunov function has also interpretation as a storage function of passivity-based... (More)
This paper considers switching output feedback control of linear systems and variable structure systems. Theory for stability analysis and design for a class of observer-based feedback control systems is presented. A circle-criterion approach can be used to design an observer-based state feedback control which yields a closed-loop system with specified robustness characteristics. The approach is relevant for variable structure system design with preservation of stability when switching feedback control or sliding mode control is introduced in the feedback loop. It is shown that there exists a Lyapunov function valid over the total operating range and this Lyapunov function has also interpretation as a storage function of passivity-based control. The Lyapunov function can be found by solving a Lyapunov equation, which also generates variable structure switching surfaces. Important applications are to be found in variable structure systems with high robustness requirements. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
2012 12th International Workshop on Variable Structure Systems (VSS)
pages
452 - 457
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
conference name
12th International Workshop on Variable Structure Systems (VSS2012)
external identifiers
  • scopus:84860771167
ISBN
978-1-4577-2066-6
DOI
10.1109/VSS.2012.6163544
language
English
LU publication?
yes
id
90bd7780-1219-4b30-8ea6-c53d38534f84 (old id 2543494)
date added to LUP
2012-05-25 09:16:54
date last changed
2017-03-05 04:25:25
@inproceedings{90bd7780-1219-4b30-8ea6-c53d38534f84,
  abstract     = {This paper considers switching output feedback control of linear systems and variable structure systems. Theory for stability analysis and design for a class of observer-based feedback control systems is presented. A circle-criterion approach can be used to design an observer-based state feedback control which yields a closed-loop system with specified robustness characteristics. The approach is relevant for variable structure system design with preservation of stability when switching feedback control or sliding mode control is introduced in the feedback loop. It is shown that there exists a Lyapunov function valid over the total operating range and this Lyapunov function has also interpretation as a storage function of passivity-based control. The Lyapunov function can be found by solving a Lyapunov equation, which also generates variable structure switching surfaces. Important applications are to be found in variable structure systems with high robustness requirements.},
  author       = {Johansson, Rolf and Robertsson, Anders and Shiriaev, Anton},
  booktitle    = {2012 12th International Workshop on Variable Structure Systems (VSS)},
  isbn         = {978-1-4577-2066-6},
  language     = {eng},
  pages        = {452--457},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  title        = {Observer-Based Strictly Positive Real (SPR) Variable Structure Output Feedback Control},
  url          = {http://dx.doi.org/10.1109/VSS.2012.6163544},
  year         = {2012},
}