International Scientific Journals
of Scientific Technical Union of Mechanical Engineering "Industry 4.0"

In this paper we are consider a problem of nonlinear heat conduction with double nonlinearity under action of a strong absorption. For which an exact analytical solution is found, analysis of which makes it possible to reveal a number of characteristic features of thermal processes in nonlinear media. The following nonlinear effects are established: an inertial effect of a finite velocity of propagation of thermal disturbances, spatial heat localization and finite time effect i.e. existence of a thermal structure in a medium with strong absorption.

In this study we present a method for the localization problem of Autonomously Guided Vehicles (AGVs) in the framework of well-known Simultaneously Localization and Map Building (SLAM) problem. Methods that are using odometer and IMU together still open to development because of incapability of obtaining significant noise-free measurements from ordinary IMU sensor. Nowadays localization techniques for industrial AGVs are also include specific Landmarks that brings big amount of precision for particularly indoor since that allow sparse mapping without future extraction efforts. This property is also useful for implementation of estimation tools such as Kalman filtering. Our work is based on EKF based localization of based on landmark detection, odometry and IMU measurements together. The proposed method is tested on our AGVs experimentally equipped by various sensors for some navigation scenarios successfully.