Aleksandr B. Filimonov - IEEE Xplore Author Profile

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One of the spheres of use of a group of drones is group patrolling and observation of large territories. The organization of group patrolling presuppose solution of the problem of planning the flights rotes of a group of drones. At the same time a very popular approach to the formulation and solution of the given problem consists in the reduction it to the multiply traveling salesman problem. The ...Show More
The most important class of applied optimal control problems are time-optimal control problems. The linear speed limit problem for dynamic control objects with scalar input is discussed. By means of the Pontryagin maximum principle, the structure of extreme controls is determined and then the targeting method is used. The procedure for searching for target parameters is formalized as a nonlinear p...Show More
In the famous papers dedicated to the method of the potential fields in mobile robotics is attached to particular significance to the mechanism of the force action for the movement of robot which defines the law of the rate of change of its movement. In the present paper the new methodology of use of the virtual fields is suggested: the force aspect is excluded and the strength lines of the produc...Show More
A multifaceted methodology for formalizing and solving discrete terminal problems for managing dynamic objects under resource constraints is presented. The multifaceted formalism covers all the key elements of the management problem statement, namely: the management goal, the optimality criterion, and the resource constraints of management. It is based on polyhedral constructions of convex analysi...Show More
The polyhedral methodology for solving problems of discrete terminal control by dynamic objects under resource constraints conditions is discussed. It is based on formalism of multidimensional optimization and three theoretical constructions like predictive extrapolation of controlled object's movements, the immersion principle of the input optimization problem to a number of more simple computati...Show More
The methodology of approximation correction of controlled dynamic systems is evolving. The proposed correction scheme includes an internal reference model of the desired dynamics of the corrected system. The correction problem is solved using the formalism of linear-square (LS) optimization, and the optimized integral square functional serves a measure of the transient characteristics deviation fo...Show More
In the present article the new method of the synthesis of automatic regulation problems based on the dynamic correction of the control object which is realized by means of use of formalism of LQ optimization problems is suggested. The basis of the solved problem of the correction is the idea of postulating of the desired dynamic properties of the synthesized system in the form of the given standar...Show More
The methodology of application of linear-quadratic optimization for problems of sequential regulation, where it is necessary to watch the dynamic processes in the environment is considered in the paper. The generalized scheme of control system combining the principles of the construction of classical single-loop regulation systems and stabilization systems with feedback condition is in its base. T...Show More
A polyhedral methodology for optimization of discrete time control processes is exploited. A problem of polyhedral discrete time dynamic game of pursuit is defined. A polyhedral strategy of pursuit based on the concept of a guaranteed blunder is proposed.Show More
The methodology of application of linear-quadratic optimization for problems of sequential regulation, where it is necessary to watch the dynamic processes in the environment is developed in the paper. The generalized scheme of control system combining the principles of the construction of classical single-loop regulation systems and stabilization systems with feedback condition is in its base. Th...Show More