Book ChapterDOI
Fast Algorithms for Positional Optimization of Dynamic Systems
R. Gabasov,F. M. Kirillova +1 more
- pp 107-119
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TLDR
Algorithms of open-loop and close-loop optimization of the canonical optimal control problem for a linear time-varying dynamic system in the class of discrete controls are described.Abstract:
The canonical optimal control problem for a linear time-varying dynamic system in the class of discrete controls is under consideration. Using principles of the adaptive method of linear programming, algorithms of open-loop and close-loop optimization are described. Results are illustrated by a fourth order problem.read more
Citations
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Journal ArticleDOI
Real-time optimal control and observation
R. Gabasov,F. M. Kirillova +1 more
TL;DR: A survey of the results obtained by authors and their coworkers (mainly in 2000-2003) on realization of modern principles of optimal control and observations in real time was made in this paper.
Journal ArticleDOI
Decentralized optimal control of a group of dynamical objects
TL;DR: In this paper, the problem of optimal control of a group of coupled dynamical objects is considered and a real-time optimal control algorithm for each of the dynamical systems is described.
Journal ArticleDOI
Optimal guaranteed control of delay systems
TL;DR: Methods for implementing open-loop and closable optimal feedbacks are described based on a fast dual method for the correction of optimal programs.
Journal ArticleDOI
Optimal on-line control of linear time-delay systems
TL;DR: A novel concept of a state of the optimal control problem allows to define a feedback as a function of a finite-dimensional position of the problem rather than a functional of the infinite-dimensional positions of the time-delay system.
References
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Book
Mathematical Theory of Optimal Processes
TL;DR: The fourth and final volume in this comprehensive set presents the maximum principle as a wide ranging solution to nonclassical, variational problems as discussed by the authors, which can be applied in a variety of situations, including linear equations with variable coefficients.
Journal ArticleDOI
Abort landing in the presence of windshear as a minimax optimal control problem, part 2: multiple shooting and homotopy
TL;DR: In this article, it was shown that the necessary conditions for the optimal control problem of the abort landing of a passenger aircraft in the presence of windshear result in a multipoint boundary-value problem.
Journal ArticleDOI
Abort landing in the presence of windshear as a minimax optimal control problem, part 1: necessary conditions
TL;DR: In this article, the authors considered the landing of a passenger aircraft in the presence of windshear, and solved the problem by means of the multiple shooting method in connection with an appropriate homotopy strategy.
Journal ArticleDOI
Real‐time computation of feedback controls for constrained optimal control problems. part 1: Neighbouring extremals
TL;DR: In this paper, a numerical method is developed for the real-time computation of neighbouring optimal feedback control for constrained optimal control problems, and a survey of the theory of neighbouring extremals is presented.
Related Papers (5)
Computation of quantized controls using differential dynamic programming
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