Simulating the Birdas Leg as a Double Inverted Pendulum

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Ramdhun Vyas
Ramdhun Vyas
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Jianbin Xue
Jianbin Xue
α Nanjing University of Aeronautics and Astronautics Nanjing University of Aeronautics and Astronautics

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Simulating the Birdas Leg as a Double Inverted Pendulum

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Abstract

The double inverted pendulum is a system which is non-linear, unstable with fast reaction. Stabilising a double inverted pendulum means the pendulum is not oscillating and moving and there is no force on it. In this paper the leg of a birdist modelled as a double inverted pendulum and the nattempt to control it. The Linear Quadratic Regulator is used to control the system. Modelling of then onlinear dynamic equations is obtained with the help of Euler-Lagrange equation and linearization is done using the Jacobian matrix. Simulations are done with the help of Matlab which shows that the bird’s leg can be stabilise if they are double inverted pendulums. Future use of the results is to be used for the design of a landing gear based on the principles of a bird’s leg.

References

14 Cites in Article
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  2. J Rubi,A Rubio,A Avello (2002). Swing-up control problem for a self-erecting double inverted pendulum.
  3. K Åström,K Furuta (2000). Swinging up a pendulum by energy control.
  4. Navin John Mathew,K Rao,N Sivakumaran (2013). Swing Up and Stabilization Control of a Rotary Inverted Pendulum.
  5. Y Pan,K Furuta (1993). VSS controller design for discretetime systems.
  6. R Brockett,H Li (2003). A light weight rotary double pendulum: maximizing the domain of attraction [C.
  7. K Furuta,T Okutani,H Sone (1978). Computer control of a double inverted pendulum.
  8. Qing-Rui Li,Wen-Hua Tao,Na Sun,Chong-Yang Zhang,Ling-Hong Yao (2008). Stabilization Control of Double Inverted Pendulum System.
  9. Bogdanov Alexander (2004). Optimal Control of a Double Inverted Pendulum on a Cart.
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  12. Da-Wei Gu,Petko Petkov,Mihail Konstantinov (2005). A Triple Inverted Pendulum Control System Design.
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Ramdhun Vyas. 2016. \u201cSimulating the Birdas Leg as a Double Inverted Pendulum\u201d. Global Journal of Research in Engineering - A : Mechanical & Mechanics GJRE-A Volume 16 (GJRE Volume 16 Issue A2): .

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Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

Keywords
Classification
GJRE-A Classification: FOR Code: 290501
Version of record

v1.2

Issue date

September 3, 2016

Language
en
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The double inverted pendulum is a system which is non-linear, unstable with fast reaction. Stabilising a double inverted pendulum means the pendulum is not oscillating and moving and there is no force on it. In this paper the leg of a birdist modelled as a double inverted pendulum and the nattempt to control it. The Linear Quadratic Regulator is used to control the system. Modelling of then onlinear dynamic equations is obtained with the help of Euler-Lagrange equation and linearization is done using the Jacobian matrix. Simulations are done with the help of Matlab which shows that the bird’s leg can be stabilise if they are double inverted pendulums. Future use of the results is to be used for the design of a landing gear based on the principles of a bird’s leg.

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Simulating the Birdas Leg as a Double Inverted Pendulum

Ramdhun Vyas
Ramdhun Vyas Nanjing University of Aeronautics and Astronautics
Jianbin Xue
Jianbin Xue

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