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A comprehensive approach to double inverted pendulum modelling

Abstract

The problem of mathematical modelling and indication of properties of a DIP has been investigated in this paper. The aim of this work is to aggregate the knowledge on a DIP modelling using the Euler-Lagrange formalism in the presence of external forces and friction. To indicate the main properties important for simulation, model parameters identification and control system synthesis, analytical and numerical tools have been used. The investigated properties include stability of equilibrium points, a chaos of dynamics and non-minimum phase behaviour around an upper position. The presented results refer to the model of a physical (constructed) DIP system.

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Details

Category:
Magazine publication
Type:
artykuły w czasopismach
Published in:
Archives of Control Sciences no. 29, pages 459 - 483,
ISSN: 1230-2384
Language:
English
Publication year:
2019
Bibliographic description:
Andrzejewski K., Czyżniewski M., Zielonka M., Łangowski R., Zubowicz T.: A comprehensive approach to double inverted pendulum modelling// Archives of Control Sciences -Vol. 29,iss. 3 (2019), s.459-483
DOI:
Digital Object Identifier (open in new tab) 10.24425/acs.2019.130201
Verification:
Gdańsk University of Technology

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