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A Novel Set-valued Observer Based State Estimation Algorithm for Nonlinear Systems

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  • Control Theory and Applications
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Abstract

This study considers the state estimation problem for nonlinear models with unknown but bounded noises. A zonotopic set-valued observer based state estimation algorithm is proposed, and the unknown noise term is wrapped in a zonotope during each recursive step. The second-order polynomial Stirling interpolation improves the linearization accuracy and reduces the calculation amount. The method that combines sequence updating and tightening strips reduces the accumulation of errors and improves the estimation accuracy. Finally, the simulations on the Van der Pol nonlinear model and spring-mass-damper nonlinear model can visually illustrate the feasible parameter set variation process and motion trail of the zonotope, which demonstrates the effectiveness and accuracy of the proposed algorithm.

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Funding

This work is supported in part by the the National Key Research and Development Program of China (2020YFB1710600), the Jiangsu Science and Technology Association Young Science and Technology Talents Lifting Project (TJ-2021-006) and the National Natural Science Foundation of China (61973138).

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Authors and Affiliations

  1. Engineering Research Center of Internet of Things Technology and Applications (Ministry of Education), School of Internet of Things Engineering, Jiangnan University, Wuxi, 214122, China

    Shuai Zhang, Zi-Yun Wang, Yan Wang & Zhi-Cheng Ji

Authors
  1. Shuai Zhang
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  2. Zi-Yun Wang
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  3. Yan Wang
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  4. Zhi-Cheng Ji
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Corresponding author

Correspondence to Zi-Yun Wang.

Additional information

Shuai Zhang received his B.Sc. degree in automation from Jiangnan University in 2014, where he is currently pursuing an M.Sc. degree in Jiangnan University. His research interests include system modeling and state estimation.

Zi-Yun Wang received his B.Sc. degree in electronic information engineering from Jiangnan University in 2010 and his Ph.D. degree in control science and engineering from Jiangnan University in 2015. His research interests include system modeling and state estimation for practical industrial application.

Yan Wang received her Ph.D. degree in control science and engineering from Nanjing University of Science and Technology in 2006. Her research interests include system modeling and optimal scheduling.

Zhi-Cheng Ji received his Ph.D. degree in power electronics and power drives from China University of Mining and Technology in 2004. His research interests include nonlinear control, adaptive control, and system identification.

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Zhang, S., Wang, ZY., Wang, Y. et al. A Novel Set-valued Observer Based State Estimation Algorithm for Nonlinear Systems. Int. J. Control Autom. Syst. 20, 1266–1274 (2022). https://doi.org/10.1007/s12555-021-0116-y

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