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Interval Observer Design for Nonlinear Interconnected Systems via Ellipsoid Approach

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  • Control Theory and Applications
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Abstract

In this paper, an interval observer is designed for discrete time-varying nonlinear interconnected systems in which the estimated state set is described by using an ellipsoid. The state estimation accuracy is improved by expressing the higher-order infinitesimal terms of nonlinear Taylor expansion with ellipsoids instead of disregarding them. In order to reduce the communication burden, the weighted try-once-discard (WTOD) protocol is used to schedule the transmission order of the subsystem components. Furthermore, the interval observer gain matrices are calculated by solving linear matrix inequalities. At the end of this paper, a numerical simulation is given to prove the effectiveness of the proposed interval observer.

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Author information

Authors and Affiliations

  1. College of Computer and Control Engineering, Northeast Forestry University, No.26 Hexing Road, Xiangfang District, Harbin, 150040, China

    Xin Li & Ruiqi Gong

  2. College of Mechanical and Electrical Engineering, Northeast Forestry University, No.26 Hexing Road, Xiangfang District, Harbin, 150040, China

    Liangkuan Zhu

Authors
  1. Xin Li
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  2. Ruiqi Gong
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Correspondence to Liangkuan Zhu.

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The authors declare that there is no competing financial interest or personal relationship that could have appeared to influence the work reported in this paper.

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This work is the results of the research project funded by the National Natural Science Foundation of China 31370710, 52107075, in part by the Fundamental Research Funds of Central Universities 2572022BF05, in part by the Heilongjiang Provincial Postdoctoral Science Foundation LBH-Z22053.

Xin Li received her Ph.D. degree in control science and control engineering from the University of Shanghai for Science and Technology, Shanghai, China, in 2021. She is currently an Associate Professor with the College of Mechanical and Electrical Engineering, Northeast Forestry University, Harbin, China. Her current research interests include networked control systems, interval observers, sensor networks, nonlinear stochastic control, and filtering.

Ruiqi Gong received his bachelor’s degree from the School of Mechanical and Electrical Engineering, Northeast Forestry University, Harbin, China in 2021, where he is currently working toward a master’s degree in control science and engineering. His research interests include interconnected systems and interval observers.

Liangkuan Zhu received his Ph.D. degree in control science and technology from Harbin Institute of Technology, Harbin, China, in 2008. Since 2008, he has been with the College of Electromechanical Engineering at Northeast Forestry University and is currently a professor. His current research interests include networked control systems, robust control, intelligent control, and application.

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Li, X., Gong, R. & Zhu, L. Interval Observer Design for Nonlinear Interconnected Systems via Ellipsoid Approach. Int. J. Control Autom. Syst. 22, 807–815 (2024). https://doi.org/10.1007/s12555-022-1156-7

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  • DOI: https://doi.org/10.1007/s12555-022-1156-7

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