SYNTHESIS OF THE LAWS GOVERNING THE NON-HOLONOMIC MODEL OF A TWO-LINK ROAD TRAIN WITH REVERSE MOTION (OFF-AXLE HITCHING MODEL)

Journal Title: EUREKA: Physics and Engineering - Year 2018, Vol 0, Issue 2

Abstract

The complexity of the control of the road train is due to the pronounced nonlinearities, as well as the instability of the control object during the movement in the backward motion (jackknifing). For the road trains, the location of the towing device behind the tractor's rear axle is quite typical. In this study, a synthesis of control laws for road trains with offset of coupling devices relative to the rear axle of the tractor (off-axle hitching) is proposed. The controllers have been implemented both to ensure a stable circular motion and for rectilinear motion with a given orientation angle, and the behavioral features of this model have been studied on the basis of them. Based on the analysis of the approaches to the synthesis of the laws governing the road train with the coupling out, it was decided to synthesize the required control laws using the Lyapunov function method. Synthesized controllers can be directly used to program the robotic systems of the respective models. It is also possible to use them for the development of the Dubins machine for the investigated model. They can be used to build automatic control systems that would help the driver to drive a car with a trailer while driving backward. In this research, a study was made of the state of the solution of the problem associated with the reverse movement of a road train consisting of a tractor and a semitrailer with a coupling, synthesized laws made it possible to study the features of such model, determined by its linear dimensions. For comparison of the synthesized laws, the analysis of phase portraits of trajectories, angles of folding and control, orientation angles was carried out, and also the analysis of the quality of transient processes with the change in the speed of the road train was performed.

Authors and Affiliations

Dmitry Tatievskyi

Keywords

Related Articles

CONCEPTUAL SCHEME FOR ENSURING THE ENERGY EFFICIENCY PRINCIPLE IN MODERN CONTAINER FLEET

As a result of the analysis of the modern merchant fleet, indicators have been revealed of an increase in the size of modern merchant vessels, which affects the overall energy efficiency. It should be noted a significant...

CHOICE OF THE OPTIMAL CONTROL STRATEGY FOR THE DUPLEX-PROCESS OF INDUCTION MELTING OF CONSTRUCTIONAL IRON

To find effective control of the duplex process of induction melting in conditions of uncertainties, a method was suggested that made it possible to obtain optimal controls for both stages: melting and thermal treatment....

ANALYSIS OF UKRAINIAN DIAGNOSTIC ARTICULATION TABLES

The problem of creating Ukrainian diagnostic tables for the testing of hearing impaired people has not yet been resolved. The article dedicated to the linguistic material of existing articulation tables. The basic method...

OBTAINING OF LOCALLY OPTIMAL SOLUTIONS BY COMBINING PROPERTIES OF MIXTURES FOR FOUNDRY MANUFACTURE

The aim of research is establishment of the relationship between the various properties of the mixture with liquid glass and hardener for the foundry industry – survivability, compressive strength and crumbling. Such an...

IMPLEMENTATION OF AN INTEGRATED SYSTEM OF INTERMITTENT HEAT SUPPLY FOR EDUCATIONAL INSTITUTIONS

A review of the current world state of application of various heat supply regimes for public buildings is conducted. The efficiency analysis of the use of various renewable energy sources in combined heat supply systems...

Download PDF file
  • EP ID EP669014
  • DOI 10.21303/2461-4262.2018.00592
  • Views 299
  • Downloads 0

How To Cite

Dmitry Tatievskyi (2018). SYNTHESIS OF THE LAWS GOVERNING THE NON-HOLONOMIC MODEL OF A TWO-LINK ROAD TRAIN WITH REVERSE MOTION (OFF-AXLE HITCHING MODEL). EUREKA: Physics and Engineering, 0(2), 40-51. https://europub.co.uk/articles/-A-669014