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

Johansson, Rolf LU orcid ; Robertsson, Anders LU and Shiriaev, Anton (2016) In Journal of the Franklin Institute 353(16). p.4213-4232
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.

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Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of the Franklin Institute
volume
353
issue
16
pages
20 pages
publisher
Elsevier
external identifiers
  • scopus:84995436766
  • wos:000384780300010
ISSN
0016-0032
DOI
10.1016/j.jfranklin.2016.07.016
project
RobotLab LTH
Active Control 2013-2015
Stable Oscillations in Nonlinear Systems 2009-2010
language
English
LU publication?
yes
id
eff4d78a-9656-4c79-9cc1-f21669afe7d0
date added to LUP
2016-12-05 12:36:18
date last changed
2025-01-12 16:47:36
@article{eff4d78a-9656-4c79-9cc1-f21669afe7d0,
  abstract     = {{<p>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.</p>}},
  author       = {{Johansson, Rolf and Robertsson, Anders and Shiriaev, Anton}},
  issn         = {{0016-0032}},
  language     = {{eng}},
  month        = {{11}},
  number       = {{16}},
  pages        = {{4213--4232}},
  publisher    = {{Elsevier}},
  series       = {{Journal of the Franklin Institute}},
  title        = {{Observer-Based Strictly Positive Real (SPR) Variable Structure Output Feedback Control}},
  url          = {{http://dx.doi.org/10.1016/j.jfranklin.2016.07.016}},
  doi          = {{10.1016/j.jfranklin.2016.07.016}},
  volume       = {{353}},
  year         = {{2016}},
}