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

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 a...

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Bibliographic Details
Published in:Automation and remote control 2012-12, Vol.73 (12), p.2021-2037
Main Author: Kvitko, A. N.
Format: Article
Language:English
Subjects:
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Computer-Aided Engineering (CAD
Control
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Nonlinear Systems
Robotics
Systems Theory
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Summary: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.
ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117912120077