Skip to main content

Fuzzy Controller for Robot Manipulators

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4529))

Abstract

This paper deals with the design of a fuzzy (FC) based on pole assignment method for the control of a robotic system. The main idea is to design a supervisory fuzzy controller capable to adjust the controller parameters in order to obtain the desired axes positions under variationes of the robot parameters and payload variations. The behaviour of the closed loop fuzzy system controlled by the fuzzy controller is identical to the linear system whose state transition matrix is the desired one.

The main objective of this paper is the use of the affine Takagi-Sugeno (T-S) fuzzy model to represent both the controlled system and the fuzzy controller taking into consideration the effect of the constant term [1]. Most of the research works analyzed the T-S model assuming that the non-linear system is linearized with respect to the origin in each IF-THEN rule, which means that the consequent part of each rule is a linear function with zero constant term. This will in turn reduce the accuracy of approximating non-linear systems.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Al-Hadithi, B.M.: Global Stability Analysis and Design of Fuzzy Control Systems (in spanish). Universidad Politécnica de Madrid, Doctorate thesis (2002)

    Google Scholar 

  2. Freund, E.: Fast Nonlinear Control with Arbitrary Pole-placement for Industrial Robots and Manipulators. Robotics Research 1, 65–78 (1982)

    Article  Google Scholar 

  3. Gamboa, E.: Control de robots con accionamiento hidráulicos. Aplicación a robots de grandes dimensiones para la construcción. Tesis doctoral, Universidad Politécnica de Madrid (1996)

    Google Scholar 

  4. Ishikawa, T.: A study on fuzzy control of an arm robot. B. E. thesis, Dept. Contr. Eng., Tokyo Inst. Technol. (1988)

    Google Scholar 

  5. Llama, M.A., Kelly, R., Santibañez, V.: A stable motion control system for manipulators via fuzzy self-tuning. Fuzzy Sets ans Systems 124, 133–154 (2001)

    Article  MATH  Google Scholar 

  6. Moudgad, V.G., Kwong, W.A., Passino, K.M., Yurkovich, S.: Fuzzy learning control for a flexible link robot. IEEE Trans. Fuzzy Syst. 3, 199–210 (1995)

    Article  Google Scholar 

  7. Purwar, S., Kar, I.N., Jha, A.N.: Adaptive control of robot manipulators using fuzzy logic systems under actuator constraints. Fuzzy Sets ans Systems 152, 651–664 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  8. Song, Z., Yi, J., Zhao, D., Li, X.: A computed torque controller for uncertain robotic manipulator systems: Fuzzy approach. Fuzzy Sets ans Systems 154, 208–226 (2006)

    Article  MathSciNet  Google Scholar 

  9. Takagi, T., Sugeno, M.: Fuzzy Identification of Systems and Its Applications to Modeling and Control. IEEE Transactions on Systems, Man and Cybernetics 15, 116–132 (1985)

    MATH  Google Scholar 

  10. Yoneyama, J., Nishikawa, M., Katayama, H., Ichikawa, A.: Design of output feedback controllers for Takagi-Sugeno fuzzy systems. Fuzzy Sets ans Systems 121, 127–148 (2001)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Patricia Melin Oscar Castillo Luis T. Aguilar Janusz Kacprzyk Witold Pedrycz

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Berlin Heidelberg

About this paper

Cite this paper

Al-Hadithi, B.M., Matía, F., Jiménez, A. (2007). Fuzzy Controller for Robot Manipulators. In: Melin, P., Castillo, O., Aguilar, L.T., Kacprzyk, J., Pedrycz, W. (eds) Foundations of Fuzzy Logic and Soft Computing. IFSA 2007. Lecture Notes in Computer Science(), vol 4529. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72950-1_68

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-72950-1_68

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72917-4

  • Online ISBN: 978-3-540-72950-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics