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Terminal Control Algorithm for a Nonlinear System with Phase Constraints

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We consider a terminal control problem for an underactuated nonlinear control system with phase constraints. The control is sought by the linearization method in which the control is determined by solving the Cauchy problem for a nonlinear parametric system of auxiliary differential equations. An auxiliary extremum problem with boundary conditions of general type is proposed for the numerical calculation of the control parameters. Examples of control are computed for a process with test parameters.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Faculty of Computation Mathematics and Cybernetics, Moscow, Russia

    N. L. Grigorenko

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  1. N. L. Grigorenko
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Correspondence to N. L. Grigorenko.

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Translated from Problemy Dinamicheskogo Upravleniya, Issue 8, 2017, pp. 18–26.

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Grigorenko, N.L. Terminal Control Algorithm for a Nonlinear System with Phase Constraints. Comput Math Model 31, 169–178 (2020). https://doi.org/10.1007/s10598-020-09486-8

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  • DOI: https://doi.org/10.1007/s10598-020-09486-8

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