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Authors: Dariusz Horla and Andrzej Krolikowski

Affiliation: Poznan University of Technology, Poland

Keyword(s): LQG Control, Loop transfer Recovery, Adaptive Control.

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

Abstract: An adaptive LQG control with no control cost is considered. In such case the loop transfer recovery (LTR) effect can be obtained. The control problem is handled using discrete-time state-space model and the parameter estimation is performed for corresponding ARMAX model which can be represented in innovation state-space form. Thus the direct estimation of model parameters is possible by means of standard ERLS procedure and the adaptive control is implemented through {\em certainty equivalence principle}. In such a situation the problem of solution continuity of Riccati equation can arise for nonminimum-phase systems. Computer simulations of third-order systems modeled by a second-order minimum-phase and nonminimum-phase models are given to illustrate the robustness and performance properties of the adaptive controller, particularly with respect to the modelling error parameter $\eta$.

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Paper citation in several formats:
Horla, D. and Krolikowski, A. (2014). Adaptive LQG/LTR Control; Discontinuity Issue. In Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO; ISBN 978-989-758-039-0; ISSN 2184-2809, SciTePress, pages 802-807. DOI: 10.5220/0005121408020807

@conference{icinco14,
author={Dariusz Horla. and Andrzej Krolikowski.},
title={Adaptive LQG/LTR Control; Discontinuity Issue},
booktitle={Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO},
year={2014},
pages={802-807},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005121408020807},
isbn={978-989-758-039-0},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO
TI - Adaptive LQG/LTR Control; Discontinuity Issue
SN - 978-989-758-039-0
IS - 2184-2809
AU - Horla, D.
AU - Krolikowski, A.
PY - 2014
SP - 802
EP - 807
DO - 10.5220/0005121408020807
PB - SciTePress