Strictly Positive Real Problem with Observers

J. Collado; R. Lozano; Rolf Johansson

Strictly Positive Real Problem with Observers

J. Collado, R. Lozano, Rolf Johansson

Department of Automatic Control

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

Abstract

We study the extension of what class of linear time invariantplants may be transformed into SPR systems introducingan observer. It is shown that for the open loopstable systems a cascaded observer achieves the result.For the open loop unstable systems an observer-basedfeedback is required to success. In general any system stabilizableand observable may be transformed into an SPRsystem. This overcomes the old conditions of minimumphase and relative degree one. The result is illustratedwith some examples.

Original language	English
Title of host publication	Proceedings of the European Control Conference ECC03
Publication status	Published - 2003

Subject classification (UKÄ)

Control Engineering

Free keywords

Minimal Realizations
Strictly Positive Real
Kalman-Yakubovich-Popov Lemma

1 Finished
1 Active

RobotLab LTH
Bagge Carlson, F. (Researcher), Johansson, R. (Researcher), Karlsson, M. (Researcher), Olofsson, B. (Researcher), Robertsson, A. (Researcher), Robertz, S. (Researcher), Haage, M. (Researcher), Malec, J. (Researcher), Nilsson, K. (Researcher), Nugues, P. (Researcher), Stenmark, M. (Researcher), Topp, E. A. (Researcher), Krueger, V. (Researcher), Åström, H. (Researcher), Mayr, M. (Researcher), Salt Ducaju, J. (Researcher), Nishimura, M. (Administrator), Wisbrant, J. (Project communication officer), Dürr, A. (Researcher), Mayr, M. (Researcher), Nugues, P. (Researcher), Klang, M. (Research engineer), Klöckner, M. (Researcher), Nardi, L. (Researcher), Ahmad, F. (Researcher), Oxenstierna, J. (Researcher), Rizwan, M. (Researcher), Reichenbach, C. (Researcher), Bergström, J. (Researcher), Dell'Unto, N. (Researcher), Maunsbach, L. (Researcher), Åström, K. (Researcher), Blomdell, A. (Research engineer), Magnusson, M. (Researcher), Fransson, P.-A. (Researcher), Karayiannidis, Y. (Researcher), Johansson, A. T. (Researcher), Jia, Z. (Researcher), Laban, L. (Researcher), Wingqvist, B. (Researcher), Guberina, M. (Researcher), Jena, A. (Researcher), Westin, E. (Administrator), Frick, C. (Administrator), Pisarevskiy, A. (Research engineer), Nilsson, A. (Research engineer), Reitmann, S. (Researcher), Hvarfner, C. (Researcher), Stoltenberg, P. (Researcher) & Fregnan, S. (Researcher)
1993/01/01 → …
Project: Research
NACO2: Nonlinear and Adaptive Control (NACO2) Network
Johansson, R. (PI)
2000/01/01 → 2003/12/31
Project: Research

RobotLab LTH Infrastructure
Krueger, V. (Manager), Olofsson, B. (Manager), Karayiannidis, Y. (Manager), Haage, M. (Manager), Malec, J. (Manager) & Topp, E. A. (Manager)
Faculty of Engineering, LTH
Infrastructure

Cite this

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title = "Strictly Positive Real Problem with Observers",

abstract = "We study the extension of what class of linear time invariantplants may be transformed into SPR systems introducingan observer. It is shown that for the open loopstable systems a cascaded observer achieves the result.For the open loop unstable systems an observer-basedfeedback is required to success. In general any system stabilizableand observable may be transformed into an SPRsystem. This overcomes the old conditions of minimumphase and relative degree one. The result is illustratedwith some examples.",

keywords = "Minimal Realizations, Strictly Positive Real, Kalman-Yakubovich-Popov Lemma",

author = "J. Collado and R. Lozano and Rolf Johansson",

year = "2003",

language = "English",

booktitle = "Proceedings of the European Control Conference ECC03",

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T1 - Strictly Positive Real Problem with Observers

AU - Collado, J.

AU - Lozano, R.

AU - Johansson, Rolf

PY - 2003

Y1 - 2003

N2 - We study the extension of what class of linear time invariantplants may be transformed into SPR systems introducingan observer. It is shown that for the open loopstable systems a cascaded observer achieves the result.For the open loop unstable systems an observer-basedfeedback is required to success. In general any system stabilizableand observable may be transformed into an SPRsystem. This overcomes the old conditions of minimumphase and relative degree one. The result is illustratedwith some examples.

AB - We study the extension of what class of linear time invariantplants may be transformed into SPR systems introducingan observer. It is shown that for the open loopstable systems a cascaded observer achieves the result.For the open loop unstable systems an observer-basedfeedback is required to success. In general any system stabilizableand observable may be transformed into an SPRsystem. This overcomes the old conditions of minimumphase and relative degree one. The result is illustratedwith some examples.

KW - Minimal Realizations

KW - Strictly Positive Real

KW - Kalman-Yakubovich-Popov Lemma

M3 - Paper in conference proceeding

BT - Proceedings of the European Control Conference ECC03

ER -

Strictly Positive Real Problem with Observers

Abstract

Subject classification (UKÄ)

Free keywords

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NACO2: Nonlinear and Adaptive Control (NACO2) Network

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