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This paper deals with control of a nonholonomic unicycle-like robot in a cluttered environment with static obstacles. The proposed solution is based on a combination of a universal motion controller taking advantage of transverse functions with a navigation velocity field determining a path in a free task space. The motion controller is used to imitate an omnidirectional planar kinematics such that...
This paper deals with stabilization and tracking control problems defined with respect to a planar mechanical structure similar to Raibert’s robot. The proposed control solution is based on formal analysis of the control system on a Lie group. In order to take advantage of Lie group theory a dynamic extension of the robot kinematics is introduced. To cope with non-zero angular momentum the controller...
The paper presents the application of a smooth kinematic algorithm to control multi-body vehicle which consists of the unicyclelike tractor with three trailers. The controller takes advantage of the transverse functions and properties of the IV-order two input chained system. The derivation of the algorithm is presented in details. In order to improve the performance of the controller in the real...
This paper is focused on the convergence problem defined for some class of a two input affine nonholonomic driftless system with three-dimensional state. The problem is solved based on a polar transformation which is singular at the origin. The convergence is ensured using static-state feedback. The necessary conditions for construction of the algorithm are formally discussed. The solution, in general,...
The paper presents a localization system for a mobile robot using the vision system and LED markers and considers the problem of velocity and acceleration estimation in the case of planar motions. Theoretical considerations include the principle of measurement and the details of Kalman estimator with illustrations based on experimental setup. The presented measurement system can be used for a realization...
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