On one method of solving a boundary problem for a nonlinear nonstationary controllable system taking measurement results into account

On one method of solving a boundary problem for a nonlinear nonstationary controllable system taking measurement results into account

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Article ID: iaor2013123
Volume: 73
Issue: 12
Start Page Number: 2021
End Page Number: 2037
Publication Date: Dec 2012
Journal: Automation and Remote Control
Authors:
Keywords: programming: nonlinear, space
Abstract:

By constructing an asymptotic observer of Luenberger type, we develop a method for finding the control function that guarantees to transfer a wide class of nonlinear nonstationary controllable systems of ordinary differential equations from the initial state to a given final state according to the actually measured values, constraints on the control, and nonlinearities in the sensor equation. We find a constructive criterion that guarantees the existence of a solution for this problem. We also consider the problem of interorbital space flight.

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