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Multiple-mode adaptive state estimator for nonlinear switched systems

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  • Control Theory and Applications
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Abstract

This paper deals with the issue of state estimator design for nonlinear switched systems. A multiplemode adaptive estimator is proposed under mode-dependent average dwell time (MDADT) switching, and the switching signal with MDADT constraint is also obtained to guarantee the exponential stability of estimation error dynamics, where the Lipschitz constant may be unknown since it is adaptively adjusted by designing an adaptation law. Based on both Lyapunov stable theory and the feasible solution of an optimization problem with linear matrix inequality constraint, the gain matrices and switching signals are provided, respectively. The sufficient conditions of the existence of multiple-mode adaptive switched estimator are also derived. Meanwhile, the above methods are also extended to the case of the average dwell time (ADT) switching, and an algorithm is given to summarize the implementation of the proposed estimators. Finally, the effectiveness of the designed methods is illustrated by simulation examples.

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Authors and Affiliations

  1. College of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo, 454000, China

    Junqi Yang, Yantao Chen & Lizhi Cui

Authors
  1. Junqi Yang
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  2. Yantao Chen
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  3. Lizhi Cui
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Corresponding author

Correspondence to Junqi Yang.

Additional information

Recommended by Associate Editor Sing Kiong Nguang under the direction of Editor Hamid Reza Karimi. This work was supported by National Nature Science Foundation of China under grant 61403129 and 61573129. This work was also supported by the Programme of Key Young Teacher of Henan Province Higher University under grant 2015GGJS-064, the Doctoral Fund Program of Henan Polytechnic University under grant B2015-30, the Science and Technology Innovation Talents Project of Henan Province under Grant 164100510004, and the Innovation Scientists and Technicians Troop Construction Projects of Henan Polytechnic University and Henan Province under grant T2017-1 and CXTD2016054.

Junqi Yang received his Ph.D. degree in Control Theory and Control Engineering from Tongji University, Shanghai, China, in 2013. He is currently an Associate Professor of Henan Polytechnic University. His research interests include switched system, observer design, fault detection and fault-tolerant control.

Yantao Chen received her M.S. degree in Control Theory and Control Engineering from China Three Gorges University, Yichang, China, in 2005. She is currently a Lecturer of Henan Polytechnic University. Her research interests include parameter estimation and fault-tolerant control.

Lizhi Cui received received his Ph.D. degree in Control Theory and Control Engineering from East China University of Science and Technology, Shanghai, China, in 2015. He is currently a Lecturer of Henan Polytechnic University. His research interests include intelligent signal processing, matrix decomposition and control theory.

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Yang, J., Chen, Y. & Cui, L. Multiple-mode adaptive state estimator for nonlinear switched systems. Int. J. Control Autom. Syst. 15, 1485–1493 (2017). https://doi.org/10.1007/s12555-016-0331-0

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  • DOI: https://doi.org/10.1007/s12555-016-0331-0

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