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Observer-based Strict Positive Real (SPR) Feedback Control System Design

Johansson, Rolf LU and Robertsson, Anders LU (2002) In Automatica 38(9). p.1557-1564
Abstract
This paper presents theory for stability analysis and design for a class of observer-based feedback control systems. Relaxation of the controllability and observability conditions imposed in the Yakubovich-Kalman-Popov (YKP)lemma can be made for a class of nonlinear systems described by a linear time-invariant system (LTI) with a feedback-connected cone-bounded nonlinear element. It is shown how 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 design with preservation of stability when a cone-bounded nonlinearity is introduced in the feedback loop. Important applications are to be found in... (More)
This paper presents theory for stability analysis and design for a class of observer-based feedback control systems. Relaxation of the controllability and observability conditions imposed in the Yakubovich-Kalman-Popov (YKP)lemma can be made for a class of nonlinear systems described by a linear time-invariant system (LTI) with a feedback-connected cone-bounded nonlinear element. It is shown how 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 design with preservation of stability when a cone-bounded nonlinearity is introduced in the feedback loop. Important applications are to be found in nonlinear control with high robustness requirements. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Strict positive realness (SPR), Robustness, Observers, Stability
in
Automatica
volume
38
issue
9
pages
1557 - 1564
publisher
Pergamon
external identifiers
  • wos:000177558900011
  • scopus:0036721878
ISSN
0005-1098
DOI
10.1016/S0005-1098(02)00044-4
language
English
LU publication?
yes
id
6049df26-e0b7-435e-bf8c-62d888400ce3 (old id 162003)
date added to LUP
2007-06-21 16:01:08
date last changed
2017-10-29 04:16:36
@article{6049df26-e0b7-435e-bf8c-62d888400ce3,
  abstract     = {This paper presents theory for stability analysis and design for a class of observer-based feedback control systems. Relaxation of the controllability and observability conditions imposed in the Yakubovich-Kalman-Popov (YKP)lemma can be made for a class of nonlinear systems described by a linear time-invariant system (LTI) with a feedback-connected cone-bounded nonlinear element. It is shown how 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 design with preservation of stability when a cone-bounded nonlinearity is introduced in the feedback loop. Important applications are to be found in nonlinear control with high robustness requirements.},
  author       = {Johansson, Rolf and Robertsson, Anders},
  issn         = {0005-1098},
  keyword      = {Strict positive realness (SPR),Robustness,Observers,Stability},
  language     = {eng},
  number       = {9},
  pages        = {1557--1564},
  publisher    = {Pergamon},
  series       = {Automatica},
  title        = {Observer-based Strict Positive Real (SPR) Feedback Control System Design},
  url          = {http://dx.doi.org/10.1016/S0005-1098(02)00044-4},
  volume       = {38},
  year         = {2002},
}