Skip to main content
Erschienen in: Journal of Computer and Systems Sciences International 2/2019

01.03.2019 | ROBOTICS

Observer Design for an Inverted Pendulum with Biased Position Sensors

verfasst von: S. V. Aranovskiy, A. E. Biryuk, E. V. Nikulchev, I. V. Ryadchikov, D. V. Sokolov

Erschienen in: Journal of Computer and Systems Sciences International | Ausgabe 2/2019

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Inverted pendulums can be considered as an approximation for the stabilization problem for legged robots. In this paper we design a linear observer for a reaction wheel inverted pendulum under biased angle measurements. The reaction wheel is a flywheel that allows the free spinning motor to apply the control torque on the pendulum. In this paper we consider the stabilization problem in the presence of a constant unknown bias in the pendulum angle measurements; this problem has important practical implications, allowing for less precise sensor placement as well as a closer approximation for the control of legged robots. This paper provides a theoretical and experimental basis for the estimation of the velocities and the bias in the system.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat E. S. Briskin, Ya. V. Kalinin, A. V. Maloletov, and V. A. Shurygin, “Assessment of the performance of walking robots by multicriteria optimization of their parameters and algorithms of motion,” J. Comput. Syst. Sci. Int. 56, 334 (2017).MathSciNetCrossRefMATH E. S. Briskin, Ya. V. Kalinin, A. V. Maloletov, and V. A. Shurygin, “Assessment of the performance of walking robots by multicriteria optimization of their parameters and algorithms of motion,” J. Comput. Syst. Sci. Int. 56, 334 (2017).MathSciNetCrossRefMATH
2.
Zurück zum Zitat S. I. Savin and L. Yu. Vorochaeva, “Control methods for in-pipe walking robots,” Cloud Sci. 5, 163 (2018). S. I. Savin and L. Yu. Vorochaeva, “Control methods for in-pipe walking robots,” Cloud Sci. 5, 163 (2018).
3.
Zurück zum Zitat A. A. Grishin, A. V. Lenskii, D. E. Okhotsimskii, D. A. Panin, and A. M. Formal’skii, “A control synthesis for an unstable object. An inverted pendulum,” J. Comput. Syst. Sci. Int. 41, 685 (2002). A. A. Grishin, A. V. Lenskii, D. E. Okhotsimskii, D. A. Panin, and A. M. Formal’skii, “A control synthesis for an unstable object. An inverted pendulum,” J. Comput. Syst. Sci. Int. 41, 685 (2002).
4.
Zurück zum Zitat C. A. Reshmin and F. L. Chernous’ko, “Time-optimal control of an inverted pendulum in the feedback form,” J. Comput. Syst. Sci. Int. 45, 383 (2006).MathSciNetCrossRefMATH C. A. Reshmin and F. L. Chernous’ko, “Time-optimal control of an inverted pendulum in the feedback form,” J. Comput. Syst. Sci. Int. 45, 383 (2006).MathSciNetCrossRefMATH
5.
Zurück zum Zitat E. Franco, A. Astolfi, and F. R. Baena, “Robust balancing control of flexible inverted-pendulum systems,” Mechanism Mach. Theory 130, 539–551 (2018).CrossRef E. Franco, A. Astolfi, and F. R. Baena, “Robust balancing control of flexible inverted-pendulum systems,” Mechanism Mach. Theory 130, 539–551 (2018).CrossRef
6.
Zurück zum Zitat Y. Hua and Z. Yang, “Simple rotary inverted pendulum and the control device,” Appl. Mech. Mater. 851, 445–448 (2016).CrossRef Y. Hua and Z. Yang, “Simple rotary inverted pendulum and the control device,” Appl. Mech. Mater. 851, 445–448 (2016).CrossRef
7.
Zurück zum Zitat X. Chen, R. Yu, K. Huang, S. Zhen, H. Sun, and K. Shao, “Linear motor driven double inverted pendulum: a novel mechanical design as a testbed for control algorithms,” Simul. Model. Practice Theory 81, 31–50 (2018).CrossRef X. Chen, R. Yu, K. Huang, S. Zhen, H. Sun, and K. Shao, “Linear motor driven double inverted pendulum: a novel mechanical design as a testbed for control algorithms,” Simul. Model. Practice Theory 81, 31–50 (2018).CrossRef
8.
Zurück zum Zitat J. Sánchez, S. Dormido, R. Pastor, and F. Morilla, “A Java/MATLAB-based environment for remote control system laboratories: illustrated with an inverted pendulum,” IEEE Trans. Educ. 47, 321–329 (2004).CrossRef J. Sánchez, S. Dormido, R. Pastor, and F. Morilla, “A Java/MATLAB-based environment for remote control system laboratories: illustrated with an inverted pendulum,” IEEE Trans. Educ. 47, 321–329 (2004).CrossRef
9.
Zurück zum Zitat S. Chatterjee and S. K. Das, “An analytical formula for optimal tuning of the state feedback controller gains for the cart-inverted pendulum system,” IFAC-PapersOnLine 51, 668–672 (2018).CrossRef S. Chatterjee and S. K. Das, “An analytical formula for optimal tuning of the state feedback controller gains for the cart-inverted pendulum system,” IFAC-PapersOnLine 51, 668–672 (2018).CrossRef
10.
Zurück zum Zitat J. J. Rubio, “Discrete time control based in neural networks for pendulums,” Appl. Soft Comput. 68, 821–832 (2018).CrossRef J. J. Rubio, “Discrete time control based in neural networks for pendulums,” Appl. Soft Comput. 68, 821–832 (2018).CrossRef
11.
Zurück zum Zitat A. Bellino, A. Fasana, E. Gandino, L. Garibaldi, and S. Marchesiello, “A time-varying inertia pendulum: analytical modelling and experimental identification,” Mech. Syst. Signal Proces. 47, 120–138 (2014).CrossRef A. Bellino, A. Fasana, E. Gandino, L. Garibaldi, and S. Marchesiello, “A time-varying inertia pendulum: analytical modelling and experimental identification,” Mech. Syst. Signal Proces. 47, 120–138 (2014).CrossRef
12.
Zurück zum Zitat Z. Ping and J. Huang, “Approximate output regulation of spherical inverted pendulum by neural network control,” Neurocomputing 85, 38–44 (2012).CrossRef Z. Ping and J. Huang, “Approximate output regulation of spherical inverted pendulum by neural network control,” Neurocomputing 85, 38–44 (2012).CrossRef
13.
Zurück zum Zitat M. Gajamohan, M. Merz, I. Thommen, and R. D’Andrea, “The subli: a cube that can jump up and balance,” in Proceedings of the 2012 IEEE/RSJ International Conference on Intelligent Robots and Systems IROS (IEEE, Piscataway, 2012), pp. 3722–3727. M. Gajamohan, M. Merz, I. Thommen, and R. D’Andrea, “The subli: a cube that can jump up and balance,” in Proceedings of the 2012 IEEE/RSJ International Conference on Intelligent Robots and Systems IROS (IEEE, Piscataway, 2012), pp. 3722–3727.
14.
Zurück zum Zitat B. D. O. Anderson and J. B. Moore, Optimal Control: Linear Quadratic Methods (Dover, Mineola, 2007). B. D. O. Anderson and J. B. Moore, Optimal Control: Linear Quadratic Methods (Dover, Mineola, 2007).
15.
Zurück zum Zitat I. Ryadchikov, S. Sechenev, E. Nikulchev, M. Drobotenko, A. Svidlov, P. Volkodav, and R. Vishnykov, “Control and stability evaluation of the bipedal walking robot anywalker,” Int. Rev. Autom. Control 11, 160–165 (2018). I. Ryadchikov, S. Sechenev, E. Nikulchev, M. Drobotenko, A. Svidlov, P. Volkodav, and R. Vishnykov, “Control and stability evaluation of the bipedal walking robot anywalker,” Int. Rev. Autom. Control 11, 160–165 (2018).
Metadaten
Titel
Observer Design for an Inverted Pendulum with Biased Position Sensors
verfasst von
S. V. Aranovskiy
A. E. Biryuk
E. V. Nikulchev
I. V. Ryadchikov
D. V. Sokolov
Publikationsdatum
01.03.2019
Verlag
Pleiades Publishing
Erschienen in
Journal of Computer and Systems Sciences International / Ausgabe 2/2019
Print ISSN: 1064-2307
Elektronische ISSN: 1555-6530
DOI
https://doi.org/10.1134/S1064230719020023

Weitere Artikel der Ausgabe 2/2019

Journal of Computer and Systems Sciences International 2/2019 Zur Ausgabe

Premium Partner