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Applied Physics and Mathematics

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ADAPTIVE CONTROL OF ERROR ESTIMATES OF NONLINEAR DYNAMICAL SYSTEMS
A.V. CHERNODAROV, A.A. POLYAKOVA

This paper is devoted to the problem of compensating for errors of nonlinear dynamical systems (NDS) between observation sessions. Such a problem is connected with the coordination of solutions of the nonlinear differential equations for the NDS and the linearized equations for their errors. The stochastic nature of such equations leads to the necessity of controlling the process of compensation for error estimates to stabilize the NDS parameters with respect to the reference phase path. The proposed solution to the above problem is based on the application of the method of inverse problems of dynamics to the synthesis of a loop intended to compensate for the estimates being formed by a filter. When implementing the method mentioned, the need arises for identification of the coefficients of estimate damping. Procedures for such identification are discussed. The results of experimental studies are given.
Keywords: nonlinear dynamical system, error damping, extended Kalman filter, inverse problem of dynamics.


DOI: 10.25791/pfim.02.2020.1154

Pp. 14-21.

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