Abstract
The article considers the problems relating the estimation of the motion parameters under conditions of uncertainty, which are caused by the lack of a priori information about the nature of the movement of the controlled object. Using traditional kinematic models may lead to divergence of the estimation process and failure of the computational procedure. The article shows that the constructive results of the synthesis of 2D dynamic models in the polar coordinate system can be provided using the maximum condition for the function of generalized power. Adaptation of the obtained models to different modes of motion is carried out using fuzzy logic. The constructiveness of the approach is confirmed by a comparative analysis of the results of mathematical modeling.
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References
Lyakhov, S.V.: Determination of the parameters of the dynamics of the movement of the vehicle during test maneuvers based on the experimentally calculated path. Mech. Mach. Mech. Mater. 3, 74–96 (2014)
Li, X.R., Vesselin, P.G.: Survey of maneuvering target tracking. part I: dynamic models. IEEE Trans. Aerosp. Electr. Syst. 4, 1333–1364 (2003)
Bar-Shalom, Y., Rong, Li X., Kirubarajan, T.: Estimation with applications to tracking and navigation. Wiley, New York (2001)
Singer, R.A.: Estimating optimal tracking filter performance for manned maneuvering targets. IEEE Trans. Aerosp. Electr. Syst. 4, 473–483 (1970)
Grinyak, V.M.: Fuzzy determination of the motion nature with multi-model tracking of the craft trajectory by surveillance radar. Neurocomput. Dev. Appl. 6, 13–20 (2013)
Kostoglotov, A.A., Kostoglotov, A.I., Lazarenko, S.V.: Synthesis of systems with optimal speed based on the combined maximum principle. J. Inf. Measuring Control Syst. 15, 34–40 (2007)
Kostoglotov, A.A., Kostoglotov, A.I., Lazarenko, S.V.: The combined-maximum principle in problems of estimating the motion parameters of a maneuvering aircraft. J. Commun. Technol. Electr. 4, 431–438 (2009)
Kostoglotov, A.A., Lazarenko, S.V.: Nonsmooth analysis in measurement processing. Meas. Tech. 2, 117–124 (2009)
Andrashitov, D.S., Kostoglotov, A.A., Kuznetsov, A.A., Lazarenko, S.V., Andrashitov, D.S., Kostoglotov, A.A., Kuznetsov, A.A., Lazarenko, S.V.: Structural synthesis of lagrangian systems of automatic control with the use of first integrals of motion. J. Inf. Measuring Control Syst. 12, 12–18 (2015)
Kostoglotov, A.A., Kuznetcov, A.A., Lazarenko, S.V., Losev, V.A.: Synthesis of the tracking filter with structural adaptation based on the combined maximum principle. J. Inf. Control Syst. 4, 2–9 (2015)
Kostoglotov, A.A., Kuznetsov, A.A., Lazarenko, S.V.: Synthesis of model of process with non-stationary perturbations based on the maximum of the generalized power function. Math. Model. 12, 133–142 (2016)
Kostoglotov, A.A., Lazarenko, S.V., Deryabkin, I.V., Manaenkova, O.N., Losev, V.A.: The method of optimal filtering based on the analysis of the behavior of invariants on characteristic trajectories in the phase space. Eng. Bull. Don 4, 60 (2016)
Kostoglotov, A.A., Lazarenko, S.V., Lyaschenko, Z.V.: Intellectualization of measuring systems based on the method of structural adaptation in the construction of tracking filter. In: Proceedings of 2017 20th IEEE International Conference on Soft Computing and Measurements, pp. 568–570 (2017)
Kostoglotov, A., Lazarenko, S., Agapov, A., Lyaschenko, Z., Pavlova, I.: Designing the knowledge base for the intelligent inertial regulator based on quasi-optimal synthesis of controls using the combined maximum principle. Adv. Intell. Syst. Comput. 874, 190–200 (2019)
Kostoglotov, A., Lazarenko, S., Penkov, A., Kirillov, I., Manaenkova, O.: Synthesis of adaptive algorithms for estimating the parameters of angular position based on the combined maximum principle. In: Proceedings of the Third International Scientific Conference “Intelligent Information Technologies for Industry” (IITI 2018). Advances in Intelligent Systems and Computing. vol. 874, pp. 107–115. Springer, Cham (2019)
Lur’e, A.I.: Analytical Mechanics Moscow: GIFML (1961)
Markeev, A.P.: Theoretical Mechanics. Nauka, Moscow (1990)
Pegat, A.: Fuzzy Modeling and Control. BINOM. Laboratory of Knowledge, Moscow (2013)
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Kostoglotov, A.A., Pugachev, I.V., Penkov, A.S., Lazarenko, S.V. (2020). Synthesis of Multi-model Algorithms for Intelligent Estimation of Motion Parameters Under Conditions of Uncertainty Using Condition of Generalized Power Function Maximum and Fuzzy Logic. In: Kovalev, S., Tarassov, V., Snasel, V., Sukhanov, A. (eds) Proceedings of the Fourth International Scientific Conference “Intelligent Information Technologies for Industry” (IITI’19). IITI 2019. Advances in Intelligent Systems and Computing, vol 1156. Springer, Cham. https://doi.org/10.1007/978-3-030-50097-9_55
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DOI: https://doi.org/10.1007/978-3-030-50097-9_55
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