TY - GEN

T1 - Visual Positioning of a Moving Object Using Multi-objective Control Algorithm

AU - Sotnikova, Margarita

AU - Sevostyanov, Ruslan

PY - 2023

Y1 - 2023

N2 - The paper is devoted to the problem of multi-objective control design for visual positioning of moving objects. This research area incorporates the methods of control theory and computer vision, and has a special importance for autonomous vehicles, where visual information from on-board camera gives a rich data about the surrounding world. Visual information can be effectively used in feedback control, for example, in such applications as visual positioning, tracking a visually given line, moving in a changing environment with visual obstacles.The main objective of this work is to develop the results obtained earlier and design a feedback control algorithm for visual positioning problem based on the multi-objective approach. This approach allows to take into account a set of requirements for closed-loop system performance in different regimes. These regimes, in particular, include the object motion under constant or random external disturbances. The multi-objective structure of the control law has adjustable elements that must be selected in accordance with the imposed requirements. It is convenient to formulate the problems of searching these elements as optimization tasks on the corresponding admissible sets.The nonlinear mathematical model of object dynamics is considered. In addition, the nonlinear model of the dynamics in image plane of the camera is introduced. The control objective in visual positioning problem is to provide the desired projection of some three-dimensional object of the scene to the image plane. This projection is described by features vector. The main result of the work is the developed feedback control law, which is based on multi-objective structure and computer vision algorithms. Methods for searching adjustable elements of multi-objective structure are proposed. The efficiency of the approach is illustrated by a computational experiment in MATLAB environment.

AB - The paper is devoted to the problem of multi-objective control design for visual positioning of moving objects. This research area incorporates the methods of control theory and computer vision, and has a special importance for autonomous vehicles, where visual information from on-board camera gives a rich data about the surrounding world. Visual information can be effectively used in feedback control, for example, in such applications as visual positioning, tracking a visually given line, moving in a changing environment with visual obstacles.The main objective of this work is to develop the results obtained earlier and design a feedback control algorithm for visual positioning problem based on the multi-objective approach. This approach allows to take into account a set of requirements for closed-loop system performance in different regimes. These regimes, in particular, include the object motion under constant or random external disturbances. The multi-objective structure of the control law has adjustable elements that must be selected in accordance with the imposed requirements. It is convenient to formulate the problems of searching these elements as optimization tasks on the corresponding admissible sets.The nonlinear mathematical model of object dynamics is considered. In addition, the nonlinear model of the dynamics in image plane of the camera is introduced. The control objective in visual positioning problem is to provide the desired projection of some three-dimensional object of the scene to the image plane. This projection is described by features vector. The main result of the work is the developed feedback control law, which is based on multi-objective structure and computer vision algorithms. Methods for searching adjustable elements of multi-objective structure are proposed. The efficiency of the approach is illustrated by a computational experiment in MATLAB environment.

KW - Visual positioning

KW - computer vision

KW - Camera

KW - Multi-Objective Control

KW - External Disturbances

KW - Moving object

UR - https://www.mendeley.com/catalogue/8eb0971f-2e57-3e09-b9bd-391bbc650a7b/

U2 - 10.1007/978-3-031-35305-5_29

DO - 10.1007/978-3-031-35305-5_29

M3 - Conference contribution

SN - 9783031353048

T3 - Lecture Notes in Computer Science

SP - 425

EP - 438

BT - Mathematical Optimization Theory and Operations Research

PB - Springer Nature

T2 - 22nd International conference on Mathematical Optimization Theory and Operations Research

Y2 - 2 July 2023 through 8 July 2023

ER -