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Observer-based Strict Positive Real (SPR) Switching Output Feedback Control

Johansson, Rolf LU ; Robertsson, Anders LU and Shiriaev, Anton (2004) 43rd IEEE Conference on Decision and Control, 2004 In 2004 43rd IEEE Conference on Decision and Control (CDC) 3. p.2811-2816
Abstract
This paper considers switching output feedback control of linear systems and variablestructure systems. Theory for stability analysis and design for a class of observer-based feedback control systems is presented. It is shown how a circlecriterion approach can be used to design an observerbased state feedback control which yields a closedloop system with speci ed 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... (More)
This paper considers switching output feedback control of linear systems and variablestructure systems. Theory for stability analysis and design for a class of observer-based feedback control systems is presented. It is shown how a circlecriterion approach can be used to design an observerbased state feedback control which yields a closedloop system with speci ed 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 and a value function of an optimal control problem. The Lyapunov function can be found by solving a Lyapunov equation. Important applications are to be found in hybrid systems with switching control and 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
keywords
Strict Positive Realness (SPR), Variable Structure Systems, Robustness, Observers, Stability
in
2004 43rd IEEE Conference on Decision and Control (CDC)
volume
3
pages
2811 - 2816
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
conference name
43rd IEEE Conference on Decision and Control, 2004
external identifiers
  • wos:000226745602094
  • scopus:14244260323
ISSN
0191-2216
ISBN
0-7803-8682-5
language
English
LU publication?
yes
id
8354a12e-d8e9-42a4-9a11-79e0ac2625d6 (old id 536108)
alternative location
http://ieeexplore.ieee.org/iel5/9774/30837/01428890.pdf?tp=&arnumber=1428890&isnumber=30837
date added to LUP
2007-09-20 16:22:30
date last changed
2017-01-01 07:27:59
@inproceedings{8354a12e-d8e9-42a4-9a11-79e0ac2625d6,
  abstract     = {This paper considers switching output feedback control of linear systems and variablestructure systems. Theory for stability analysis and design for a class of observer-based feedback control systems is presented. It is shown how a circlecriterion approach can be used to design an observerbased state feedback control which yields a closedloop system with speci ed 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 and a value function of an optimal control problem. The Lyapunov function can be found by solving a Lyapunov equation. Important applications are to be found in hybrid systems with switching control and variable structure systems with high robustness requirements.},
  author       = {Johansson, Rolf and Robertsson, Anders and Shiriaev, Anton},
  booktitle    = {2004 43rd IEEE Conference on Decision and Control (CDC)},
  isbn         = {0-7803-8682-5},
  issn         = {0191-2216},
  keyword      = {Strict Positive Realness (SPR),Variable Structure Systems,Robustness,Observers,Stability},
  language     = {eng},
  pages        = {2811--2816},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  title        = {Observer-based Strict Positive Real (SPR) Switching Output Feedback Control},
  volume       = {3},
  year         = {2004},
}