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Author: Yasuhiko Mutoh

Affiliation: Sophia University, Japan

Keyword(s): Pole placement, State observer, Linear time-varying system.

Related Ontology Subjects/Areas/Topics: Adaptive Signal Processing and Control ; Informatics in Control, Automation and Robotics ; Signal Processing, Sensors, Systems Modeling and Control ; Signal Reconstruction

Abstract: A simple design method of the Luenberger observer for linear time-varying systems is proposed in this paper. The paper first propose the simple calculation method to derive the pole placement feedback gain vector for linear time-varying systems. For this purpose, it is shown that the pole placement controller can be derived simply by finding some particular ”output signal” such that the relative degree from the input to this output is equal to the order of the system. Using this fact, the feedback gain vector can be calculated directly from plant parameters without transforming the system into any standard form. Then, this method is applied to the design of the observer, i.e., because of the duality of linear time-varying system, the state observer can be derived by un-stabilization of the state error equation.

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Paper citation in several formats:
Mutoh, Y. (2009). SIMPLE DESIGN OF THE STATE OBSERVER FOR LINEAR TIME-VARYING SYSTEMS. In Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO; ISBN 978-989-674-001-6; ISSN 2184-2809, SciTePress, pages 225-229. DOI: 10.5220/0002206002250229

@conference{icinco09,
author={Yasuhiko Mutoh.},
title={SIMPLE DESIGN OF THE STATE OBSERVER FOR LINEAR TIME-VARYING SYSTEMS},
booktitle={Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO},
year={2009},
pages={225-229},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002206002250229},
isbn={978-989-674-001-6},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO
TI - SIMPLE DESIGN OF THE STATE OBSERVER FOR LINEAR TIME-VARYING SYSTEMS
SN - 978-989-674-001-6
IS - 2184-2809
AU - Mutoh, Y.
PY - 2009
SP - 225
EP - 229
DO - 10.5220/0002206002250229
PB - SciTePress