An algorithm for numerical synthesis of optimal control

Authors:
A. I. Tyatyushkin;O. V. Morzhin
Affiliations:
Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia;Buryat State University, Ulan-Ude, Russia
Venue:
Automation and Remote Control
Year:
2008

Citing 1
Cited 3

Algorithm 733: TOMP–Fortran modules for optimal control calculations

ACM Transactions on Mathematical Software (TOMS)

On approximation of the subdifferential of the nonsmooth penalty functional in the problems of optimal control

Automation and Remote Control
Constructive methods of control optimization in nonlinear systems

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On optimization of position control in attainability tube in a model problem

Journal of Computer and Systems Sciences International

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Abstract

An algorithm for optimization of goal point-to-point control in a differential system with phase constraints that is based on the results of construction and estimation of sets of attainability (solvability) of the system is represented. Algorithms for the methods of supporting hyperplanes and sections for constructing the indicated sets are given. The efficiency of software-algorithmic implementation of the methods is confirmed by examples. The developed software technology oriented on multiprocessor systems is closely connected with the applied problems under study.