Abstract
In this paper, a fuzzy H-inf control approach for flexible joint robot is proposed. First, the Takagi and Sugeno(T-S) fuzzy model is applied to approximate the flexible joint robot. Next, a fuzzy controller is developed based on parallel distributed compensation principle(PDC), and H-inf performance is introduced to restrain the influence of the bounded external disturbance. The sufficient conditions for the stability of the flexible joint robot control system are proposed by using Lyapunov function combined with the decay speed and linear matrix inequality(LMI). Finally, the simulation example is given to demonstrate the performance and robust of the proposed approach.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ozgoli, S., Taghirad, H.D.: A Survey on the Control of Flexible Joint Robots. Asian Journal of Control 8, 1–15 (2006)
Takagi, T., Sugeno, M.: Fuzzy Identification of Systems and Its Applications to Modeling And Control. IEEE Transactions System, Man, and Cybernetics SMC-15, 116–132 (1985)
Precup, R.E., Hellendoorn, H.: A Survey on Industrial Applications of Fuzzy Control. Computers in Industry 62, 213–226 (2011)
Feng, G.: A Survey on Analysis And Design of Model-based Fuzzy Control Systems. IEEE Transactions on Fuzzy Systems 14, 676–695 (2006)
Banks, S.P., Gurkan, E., Erkmen, I.: Stable Controller Design for T-S Fuzzy Systems Based on Lie Algebras. Fuzzy Sets and Systems 156, 226–248 (2005)
Liang, Y.W., Xu, S.D., Liaw, D.C., Chen, C.C.: A Study of T–S Model-Based SMC Scheme With Application to Robot Control. IEEE Transactions on Industrial Electronics 5, 3964–3971 (2008)
Jiang, X.F., Han, Q.L.: On Designing Fuzzy Controllers for a Class of Nonlinear Networked Control Systems. IEEE Transactions on Fuzzy Systems 16, 1050–1060 (2008)
Chen, H., Ma, M.M., Wang, H., Liu, Z.Y., Cai, Z.X.: Moving Horizon H ∞  tracking Control of Wheeled Mobile Robots With Actuator Saturation. IEEE Transactions on Control Systems Technology 17, 449–457 (2009)
Wai, R.J., Yang, Z.W.: Adaptive Fuzzy Neural Network Control Design via A T-S Fuzzy Model for A Robot Manipulator Including Actuator Dynamics. IEEE Transactions System, Man, and Cybernetics Part B-Cybernetics 38, 1326–1346 (2008)
Chen, B.S., Tseng, C.S., Uang, H.J.: Robustness Design of Nonlinear Dynamic System via Fuzzy Linear Control. IEEE Transactions on Fuzzy Systems 7, 571–585 (1999)
Tseng, C.S., Chen, B.S., Uang, H.J.: Fuzzy Tracking Control Design for Nonlinear Dynamic Systems via T-S Fuzzy Model. IEEE Transactions on Fuzzy Systems 9, 381–392 (2001)
Tong, S.C., Wang, T., Li, H.X.: Fuzzy Robust Tracking Control for Uncertainty Nonlinear Systems. International Journal of Approximate Reasoning 30, 73–90 (2002)
Spong, M.W.: Modeling And Control of Elastic Joint Robots. Transactions of the ASME 109, 310–319 (1987)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wang, F., Liu, X. (2011). Fuzzy H-inf Control of Flexible Joint Robot. In: Liu, B., Chai, C. (eds) Information Computing and Applications. ICICA 2011. Lecture Notes in Computer Science, vol 7030. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25255-6_54
Download citation
DOI: https://doi.org/10.1007/978-3-642-25255-6_54
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25254-9
Online ISBN: 978-3-642-25255-6
eBook Packages: Computer ScienceComputer Science (R0)