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.
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Gorodetskiy, A.E., Kurbanov, V.G. (eds.): Smart Electromechanical Systems: The Central Nervous System, 266 p. Springer International Publishing AG (2017)
Gorodetskiy A.E. (ed.): Smart Electromechanical Systems, 277 p. Springer International Publishing Switzerland (2016)
Volkomorov, S.V., Kaganov, Y.T., Karpenko, A.P.: Modelling and Optimization of Some Parallel Mechanisms, 32 pages. New Technologies, Moscow (2010) (In Russian)
Glazunov, V.A., Koliskor, A.S., Kraynev, A.F.: Spatial mechanisms of parallel structure. Science, 96 pages (1991) (In Russian)
Zenkevich, S.L., Yushchenko, A.S.: Bases of control of handling robots. MSTU, 480 pages (2004) (In Russian)
Merlet, J.P.: Parallel Robots (Solid Mechanics and Its Applications). Springer, Berlin (2004)
Heylo, S.V., Glazunov, V.A., Palochkin, S.V.: Handling mechanisms of parallel structure. The dynamic analysis and management. MGUDT, 86 pages (2014) (In Russian)
Agapov, V.A., Gorodetsky, A.E., Kuchmin, A.Y., Selivanova, E.N.: Medical Microrobot. Patent for the Invention of RUS 2469752, 20 May 2011 (In Russian)
Artemenko, Y.N., Badu, E.I., Gorodetsky, A.E., Dubarenko, V.V., Kuchmin, A.Y., Tarasova, I.L.: Antenna of the Radio Telescope. Patent for the Invention of RUS 2421765, 9 Feb 2010 (In Russian)
Kuchmin, A.Y., Dubarenko, V.V.: Linearized model of the mechanism with parallel structure. In: Gorodetskiy, A.E., Kurbanov, V.G. (eds.) Smart Electromechanical Systems: The Central Nervous System, 266 p. Springer International Publishing AG (2017). https://doi.org/10.1007/978-3-319-53327-8_13
Kuchmin, A.Y., Dubarenko, V.V.: Definition of a Rigidity of a hexapod. In: Gorodetskiy, A.E. (ed.) Smart Electromechanical Systems, 277 p. Springer International Publishing Switzerland (2016)
Isermann, R., Münchhof, M.: Identification of dynamic systems. In: An Introduction with Applications, 705 p. Springer (2011)
Mzyk, G.: Combined Parametric-nonparametric Identification of Block-oriented Systems, 238 p. Springer (2014)
Boutalis, Y., Theodoridis, D., Kottas, T., Christodoulou, M.A.: System identification and adaptive control. In: Theory and Applications of the Neurofuzzy and Fuzzy Cognitive Network Models, 313 p. Springer (2014)
Grop, D.: Methods of Identification Systems, 302 p. Springer (1979)
Karabutov, N.N.: Strukturnaia identifikatsiia sistem: Analiz dinamicheskikh struktur [Structural identification of systems: analysis of dynamic structures]. MGIU, 160 p (2008) (In Russian)
Pervushin, V.F.: On nonparametric models of linear dynamic objects. Bull Tomsk State Univ. Manage Comput Facil Inform. 4(25), 95–104 (2013) (In Russian)
Gusev, S.A.: Parametrical Identification of Dynamic Objects. Methodical Instructions to Performance of Laboratory Works, 24 p. GUAP (1997)
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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Kuchmin, A.Y. (2019). Identification of Dynamics of Modules SEMS. In: Gorodetskiy, A., Tarasova, I. (eds) Smart Electromechanical Systems. Studies in Systems, Decision and Control, vol 174. Springer, Cham. https://doi.org/10.1007/978-3-319-99759-9_16
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DOI: https://doi.org/10.1007/978-3-319-99759-9_16
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