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Identification of Dynamics of Modules SEMS

  • Andrey Yu. Kuchmin
Chapter
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 174)

Abstract

Problem statement: SEMS modules are the composite non-linear nonstationary objects. The central problem of creation of models adequate to an actual object is identification not only object parameters, but also its structure and a state that represents a non-linear problem of mathematical programming of big dimension in the common statement. Therefore for simplification of a problem of identification it can be divide into a number of the independent stages: estimation of structure of model, parameters and state. This work is focused on modification of methods of least squares. Purpose of research: development of algorithms of identification of dynamics of the basic SEMS module with use of the identifier on the basis of a method of least squares. The primal problem of identification is formed as finding of a transfer matrix of the basic SEMS module. Results: The algorithm of identification of parameters and structure of the model of the basic SEMS module consisting in application of the modified method of least squares is developed and its effectiveness on the example of the hexapod of PI M-810 at its driving in small deviations concerning the given trajectory is proved. Practical significance: the offered algorithm of identification can be used at synthesis of adaptive controllers in the composite systems on the basis of SEMS modules, for example, during creation of the modern antennas where similar modules are used for compensation of the weight deformations and deformations caused by heating.

Keywords

Identification SEMS A transfer matrix 

Notes

Acknowledgements

This work was financially supported by Russian Foundation for Basic Research, Grant 16-29-04424, Grant 18-51-06003 and Grant 18-01-00076, the Russian National Fund (grant 18-19-00005).

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Institute of Problems of Mechanical Engineering, Russian Academy of SciencesSt. PetersburgRussia

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