The paper describes modifications of the second-order improving algorithms for optimal control problems. The algorithms presented are based on the localization technique and involve some parameters, which regulate the...
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This paper deals with second-order improving methods for optimal control problems based on extension principle. Results of computation experiments is presented.
This paper deals with second-order improving methods for optimal control problems based on extension principle. Results of computation experiments is presented.
In terms of constructions of a formal identification process, the problems are analysed of existence and construction of strong differential (A, B)-models with minimum operator norm in the space of ξ-models.
In terms of constructions of a formal identification process, the problems are analysed of existence and construction of strong differential (A, B)-models with minimum operator norm in the space of ξ-models.
This paper proposes a novel hierarchical control architecture for a class of discrete-event systems. Under the proposed control scheme, a max-plus algebra model is introduced on the upper level to provide an optimal o...
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The paper describes modifications of the second-order improving algorithms for optimal control problems. The algorithms presented are based on the localization technique and involve some parameters, which regulate the...
详细信息
The paper describes modifications of the second-order improving algorithms for optimal control problems. The algorithms presented are based on the localization technique and involve some parameters, which regulate the depth of the functional descent on each iteration. The modifications proposed allow one to organize a search for the best values of parameters on each of the steps.
This paper proposes a novel hierarchical control architecture for a class of discrete-event systems. Under the proposed control scheme, a max-plus algebra model is introduced on the upper level to provide an optimal o...
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This paper proposes a novel hierarchical control architecture for a class of discrete-event systems. Under the proposed control scheme, a max-plus algebra model is introduced on the upper level to provide an optimal online plan. On the lower (implementation) level, min-plus algebra is used to solve cooperation problems between sub-plants as well as problems caused by unexpected events. A simple rail traffic example is given to show the effectiveness of the idea.
We prove that every group with nilpotent commutant, having an abelian normal subgroup such that the factor by this subgroup is nilpotent, is preorderable if and only if the group is Gamma-torsion-free. An example is e...
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We prove that every group with nilpotent commutant, having an abelian normal subgroup such that the factor by this subgroup is nilpotent, is preorderable if and only if the group is Gamma-torsion-free. An example is exhibited of a nonorderable Gamma-torsion-free group with two-step nilpotent radical. This example demonstrates that for the variety of groups with nilpotent commutant the absence of Gamma-torsion in a group is not a sufficient condition for orderability.
The paper discusses the relationships between the equations of disturbed motion in the neighborhood of invariant manifolds of conservative systems and the systems of equations with partial derivatives, which have one ...
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The paper discusses the relationships between the equations of disturbed motion in the neighborhood of invariant manifolds of conservative systems and the systems of equations with partial derivatives, which have one and the same main part. The properties, which are common for the considered systems, are indicated. Some examples of application of such a relationship to the case of equations of rigid body dynamics are given.
In this paper we try to assess some of the computational aspects and the performance of nonlinear model predictive control (NMPC) if efficient NMPC schemes that also show good overall performance (such as quasi-infini...
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In this paper we try to assess some of the computational aspects and the performance of nonlinear model predictive control (NMPC) if efficient NMPC schemes that also show good overall performance (such as quasi-infinite horizon NMPC) and tailored dynamic optimization strategies are used. After an outline of the efficient solution and formulation of the NMPC problem we consider the control of a high purity distillation column. Simulation examples and experimental results underpin that a practical application of NMPC is computationally feasible even nowadays and does lead to increased performance in comparison to existing control strategies.
In the article a conceptual approach towards the computation of polyhedral approximations of the reachable set of an impulsive dynamic control system is presented. This method consists in computing a sufficiently larg...
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In the article a conceptual approach towards the computation of polyhedral approximations of the reachable set of an impulsive dynamic control system is presented. This method consists in computing a sufficiently large number of points close to the boundary of the reachable set by regarding each one as the value at the final time of the optimal state trajectory for an optimal impulsive control problem with a certain linear cost functional. The iterative algorithm used to solve the optimal impulsive control problem involves its implicit transformation into a conventional one by the so called reduction transformation method. The auxiliary reduced problem is solved by an improvement algorithm based on local approximations to the reachable set.
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