Improvement of the control realizing the sliding mode

Methods and corresponding algorithms for improving a discrete control basing on the approximation in mean of Krotov-Bellman equations in the neighborhood of current approximation trajectory are proposed. Their application to the correction of the simple approximation of the sliding mode as a general...

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Bibliographic Details
Published in:Automation and remote control 2008-03, Vol.69 (3), p.497-507
Main Authors: Gurman, V. I., Trushkova, E. A., Ukhin, M. Yu
Format: Article
Language:English
Subjects:
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Computational Methods and Applications
Computer-Aided Engineering (CAD
Control
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Robotics
Systems Theory
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Summary:Methods and corresponding algorithms for improving a discrete control basing on the approximation in mean of Krotov-Bellman equations in the neighborhood of current approximation trajectory are proposed. Their application to the correction of the simple approximation of the sliding mode as a generalized solution to the control problem is studied. Examples demonstrating specific features of algorithms and their efficiency are given.
ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117908030144