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An efficient algorithm to test the observability of rational nonlinear systems with unmeasured inputs

Shi, X., Chatzis, M.N.·2022·Mechanical Systems and Signal Processing
DOI 10.1016/j.ymssp.2021.108345
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  2. Sedoglavic, 2002, A probabilistic algorithm to test local algebraic observability in polynomial time, J. Symbolic Comput., 33, 735, 10.1006/jsco.2002.0532 · DOI
  3. Merkt, 2015, Higher-order Lie symmetries in identifiability and predictability analysis of dynamic models, Phys. Rev. E, 92, 10.1103/PhysRevE.92.012920 · DOI
  4. X. Shi, M.N. Chatzis, Lie symmetries, observability and model transformation of nonlinear systems with unknown inputs, in: Proceedings of the XI International Conference on Structural Dynamics, EURODYN, Athens, Greece, 2020, pp. 901–911. · DOI
  5. Miao, 2011, On identifiability of nonlinear ODE models and applications in viral dynamics, Soc. Ind. Appl. Math., 53, 3
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  7. Pohjanpalo, 1978, System identifiability based on the power series expansion of the solution, Math. Biosci., 41, 21, 10.1016/0025-5564(78)90063-9 · DOI · Paper page
  8. Vajda, 1989, Similarity transformation approach to identifiability analysis of nonlinear compartmental models, Math. Biosci., 93, 217, 10.1016/0025-5564(89)90024-2 · DOI
  9. Ljung, 1994, On global identifiability for arbitrary model parametrizations, Automatica, 30, 265, 10.1016/0005-1098(94)90029-9 · DOI
  10. Boulier, 2009, Computing representations for radicals of finitely generated differential ideals, Appl. Algebra Eng. Commun. Comput., 20, 73, 10.1007/s00200-009-0091-7 · DOI
  11. Franco, 2005, On the uniqueness of solutions for the identification of linear structural systems, J. Appl. Mech., 73, 153, 10.1115/1.2062829 · DOI
  12. Maes, 2021, Observability of modally reduced order models with unknown parameters, Mech. Syst. Signal Process., 146, 1, 10.1016/j.ymssp.2020.106993 · DOI · Paper page
  13. Gillijns, 2007, Unbiased minimum-variance input and state estimation for linear discrete-time systems with direct feedthrough, Automatica, 43, 934, 10.1016/j.automatica.2006.11.016 · DOI
  14. Naets, 2015, An online coupled state/input/parameter estimation approach for structural dynamics, Comput. Methods Appl. Mech. Engrg., 283, 1167, 10.1016/j.cma.2014.08.010 · DOI
  15. Dertimanis, 2019, Input-state-parameter estimation of structural systems from limited output information, Mech. Syst. Signal Process., 126, 711, 10.1016/j.ymssp.2019.02.040 · DOI
  16. A. Martinelli, Extension of the observability rank condition to nonlinear systems driven by unknown inputs, in: Proceedings of the 23rd Mediterranean Conference on Control and Automation (MED), Torremolinos, Spain, 2015, pp. 589–595. · DOI
  17. Maes, 2019, Observability of nonlinear systems with unmeasured inputs, Mech. Syst. Signal Process., 130, 378, 10.1016/j.ymssp.2019.05.010 · DOI
  18. De Jager, 1995, The use of symbolic computation in nonlinear control: is it viable?, IEEE Trans. Automat. Control, 40, 84, 10.1109/9.362897 · DOI
  19. Villaverde, 2019, Full observability and estimation of unknown inputs, states and parameters of nonlinear biological models, R. Soc. Publ., 16
  20. Martinez, 2020, Nonlinear observability algorithms with known and unknown inputs: Analysis and implementation, Mathematics, 8, 1876, 10.3390/math8111876 · DOI
  21. Kugi, 1999, Symbolic computation for the analysis and synthesis of nonlinear control systems, Trans. Eng. Sci., 22, 255
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  23. Shi, 2021, A robust algorithm to test the observability of large linear systems with unknown parameters, Mech. Syst. Signal Process., 157, 1, 10.1016/j.ymssp.2021.107633 · DOI
  24. Margaria, 2004, Structural identifiability analysis of some highly structured families of state space models using differential algebra, J. Math. Biol., 49, 433, 10.1007/s00285-003-0261-3 · DOI
  25. Brent, 1978, Fast algorithms for manipulating formal power series, J. Assoc. Comput. Mach., 25, 581, 10.1145/322092.322099 · DOI

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Metadata

Authors
Shi, X., & Chatzis, M. N.
ORCID
Venue
Mechanical Systems and Signal Processing
Publisher
Elsevier BV
Published
2022-02
Volume
165
Pages
108345
ISSN
0888-3270
DOI
10.1016/j.ymssp.2021.108345
Cited by
28
References
2
Language
en
Licence
Funders
China Scholarship Council

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CoChat. (2026). Citation check: An efficient algorithm to test the observability of rational nonlinear systems with unmeasured inputs. https://app.cochat.ai/papers/10.1016/j.ymssp.2021.108345
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Shi, X., & Chatzis, M. N. (2022). An efficient algorithm to test the observability of rational nonlinear systems with unmeasured inputs. Mechanical Systems and Signal Processing. https://doi.org/10.1016/j.ymssp.2021.108345