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Design of Distributed Interval Observers for Multiple Euler–Lagrange Systems

Author

Listed:
  • Zhihang Yin

    (The School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215325, China)

  • Jun Huang

    (The School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215325, China)

  • Thach Ngoc Dinh

    (Conservatoire National des Arts et Métiers (CNAM), Cedric-Lab, 292, Rue Saint-Martin, CEDEX 03, 75141 Paris, France)

Abstract

This paper investigates the problem of distributed interval estimation for multiple Euler–Lagrange systems. An interconnection topology is supposed to be strongly connected. To design distributed interval observers, the coordinate transformation method is employed. The construction of the distributed interval observer is given by the monotone system theory, and the stability is analyzed by the Lyapunov stability theory. Unlike the current works, each sub-interval observer has its own gain; in addition to this, additional observer gains are used to reduce the conservatism of design. The gains of all sub-interval observers are determined by both the monotone system theory and the Lyapunov stability theory. Finally, a simulation example verifies the feasibility of the presented distributed interval observers.

Suggested Citation

  • Zhihang Yin & Jun Huang & Thach Ngoc Dinh, 2023. "Design of Distributed Interval Observers for Multiple Euler–Lagrange Systems," Mathematics, MDPI, vol. 11(8), pages 1-13, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1872-:d:1123981
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