Model-Based Fuzzy control of flexible joint manipulator: A LMI approach

In this paper a control approach for a flexible robotic manipulator using a model-based fuzzy technique is investigated. The developed controller is based on Takagi-Sugeno fuzzy modelling and LMI (linear matrix inequality) analysis. By utilizing the concept of parallel distributed compensation (PDC) by considering decay rate and constraints on control input, the design of fuzzy controller is presented. The effectiveness of the proposed method is demonstrated through comparison with other existing methods.

[1]  M. Spong Modeling and Control of Elastic Joint Robots , 1987 .

[2]  T. Ikeda,et al.  Design of fuzzy control systems based on relaxed LMI stability conditions , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[3]  T. Taniguchi,et al.  Model-based fuzzy control of TORA system: fuzzy regulator and fuzzy observer design via LMIs that represent decay rate, disturbance rejection, robustness, optimality , 1998, 1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228).

[4]  Kazuo Tanaka,et al.  An approach to fuzzy control of nonlinear systems: stability and design issues , 1996, IEEE Trans. Fuzzy Syst..

[5]  H.D. Taghirad,et al.  Composite QFT controller design for flexible joint robots , 2005, Proceedings of 2005 IEEE Conference on Control Applications, 2005. CCA 2005..

[6]  Kazuo Tanaka,et al.  Stability analysis and design of fuzzy control systems , 1992 .

[7]  Kazuo Tanaka,et al.  Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs , 1998, IEEE Trans. Fuzzy Syst..

[8]  Kazuo Tanaka,et al.  Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach , 2008 .

[9]  M. Spong,et al.  Stability analysis of adaptively controlled flexible joint manipulators , 1990, 29th IEEE Conference on Decision and Control.

[10]  Kazuo Tanaka,et al.  A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer , 1994, IEEE Trans. Fuzzy Syst..

[11]  Fathi H. Ghorbel,et al.  Adaptive control of flexible-joint manipulators , 1989, IEEE Control Systems Magazine.

[12]  Hamid D. Taghirad,et al.  A SURVEY ON THE CONTROL OF FLEXIBLE JOINT ROBOTS , 2006 .

[13]  TanakaK.,et al.  Fuzzy regulators and fuzzy observers , 1998 .

[14]  Yau-Zen Chang,et al.  On the adaptive control of flexible joint robots , 1992, Autom..