| Issue |
MATEC Web of Conferences
Volume 16, 2014
CSNDD 2014 - International Conference on Structural Nonlinear Dynamics and Diagnosis
|
|
|---|---|---|
| Article Number | 05009 | |
| Number of page(s) | 4 | |
| Section | Deterministic and stochastic dynamics and control of nonlinear systems | |
| DOI | https://doi.org/10.1051/matecconf/20141605009 | |
| Published online | 01 September 2014 | |
On the state feedback control of inverted pendulum with hysteretic nonlinearity
1 Meteorology Department, Zhukovsky–Gagarin Air Force Academy, Starykh Bolshevikov st. 54 “A”, 394064, Voronezh, Russia
2 Digital Technologies Department, Voronezh State University, Universitetskaya sq. 1, 394006, Voronezh, Russia
3 Communication Department, Zhukovsky–Gagarin Air Force Academy, Starykh Bolshevikov st. 54 “A”, 394064, Voronezh, Russia
a e-mail: mkl150@mail.ru
In this paper we consider the mathematical model of the inverted pendulum with the hysteretic nonlinearity (in the form of backlash) under state feedback control. The analytic results for the stability criteria as well as for the solution of the linearized equation are observed and analyzed. The theorems that determine the stabilization of the considered system are also formulated and discussed.
© Owned by the authors, published by EDP Sciences, 2014
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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