A Study of Anti-swing Fuzzy LQR Control of a Double Serial Link Rotary Pendulum

References

• S. Irfan, A. Mehmood, M. T. Razzaq, and J. Iqbal, “Advanced sliding mode control techniques for inverted pendulum: Modelling and simulation,” Eng. Sci.Technol. Int. J., Vol. 21, no. 4, pp. 753–759, 2018.
   Google Scholar
• J. F. Trentin, S. da Silva, and H. Schaub, “Variable speed control moment gyroscope in an inverted pendulum,” J. Dyn. Syst. Meas. Contr., Vol. 141, no. 11, pp. 111012/1–111012/9, Nov. 2019.
   Web of Science ®Google Scholar
• K. Pathak, J. Franch, and S. K. Agrawal, “Velocity and position control of a wheeled inverted pendulum by partial feedback linearization,” IEEE Trans. Robot., Vol. 21, no. 3, pp. 505–513, May. 2005.
   Web of Science ®Google Scholar
• Y. Fang, W. E. Dixon, D. M. Dawson, and E. Zergeroglu, “Non-linear coupling control laws for an underactuated overhead crane system,” IEEE ASME Trans. Mechatron., Vol. 8, no. 3, pp. 418–423, Sep. 2003.
   Web of Science ®Google Scholar
• M. Nenad, and B. Tovornik, “Swinging up and stabilization of a real inverted pendulum,” IEEE Trans. Ind. Electron., Vol. 53, no. 2, pp. 631–639, Apr. 2006.
   Web of Science ®Google Scholar
• B. S. Cazzolato, and Z. Prime, “On the dynamics of the furuta pendulum,” J. Contr. Sci. Eng., Vol. 2011, Article ID 528341, pp. 1–8, 2011.
   Google Scholar
• S. Kizir, Z. Bingul, and C. Oysu, “Fuzzy control of a real time inverted pendulum system,” J. Intell. Fuzzy Syst., Vol. 21, no. 1, pp. 121–133, Jan. 2010.
   Web of Science ®Google Scholar
• W. Baumann, and W. Rugh, “Feedback control of non-linear systems by extended linearization,” IEEE Trans. Autom. Contr., Vol. 31, no. 1, pp. 40–46, Jan. 1986.
   Web of Science ®Google Scholar
• M. I. Solihin, and A. Wahyudi, “Legowo fuzzy-tuned PID anti-swing control of automatic gantry crane,” J. Vib. Contr., Vol. 16, no. 1, pp. 127–145, Jan. 2010.
   Web of Science ®Google Scholar
• H. H. Lee, and S. K. Cho. “A new fuzzy-logic anti-swing control for industrial three-dimensional overhead cranes.” International Conference on Robotics and Automation, IEEE, 2001, Vol. 3, pp. 2956–2961.
   Google Scholar
• M. B. Trabia, J. M. Renno, and K. A. Moustafa, “Generalized design of an anti-swing fuzzy logic controller for an overhead crane with hoist,” J. Vib. Contr., Vol. 14, no. 3, pp. 319–346, Mar. 2008.
   Web of Science ®Google Scholar
• Z. B. Hazem, M. J. Fotuhi, and Z. Bingül, “Development of a fuzzy-LQR and fuzzy-LQG stability control for a double link rotary inverted pendulum,” J. Frankl. Inst., Vol. 357, no. 15, pp. 10529–10556, Oct. 2020.
   Web of Science ®Google Scholar
• W. Zhong, and H. Rock. “Energy and passivity based control of the double inverted pendulum on a cart”, In Proceedings of the International Conference on Control Applications, IEEE, 2001, pp. 896–901.
   Google Scholar
• X. Wang, and H. Zhu, “On the comparison of unit dual quaternion and homogeneous transformation matrix,” Adv. Appl. Cliff. Algebr., Vol. 24, no. 1, pp. 213–229, Mar. 2014.
   Web of Science ®Google Scholar
• Z. B. Hazem, M. J. Fotuhi, and Z. Bingül, “A comparative study of the joint neuro-fuzzy friction models for a triple link rotary inverted pendulum,” IEEE Access, Vol. 8, pp. 49066–49078, Mar. 2020.
   Web of Science ®Google Scholar
• Z. B. Hazem, M. J. Fotuhi, and Z. Bingül. “A comparative study of the friction models with adaptive coefficients for a rotary triple inverted pendulum”, International Conference on Control Engineering and Information Technology (CEIT), IEEE, Oct. 2018, pp.1–6.
   Google Scholar
• D. Chen, Y. Zhang, and S. Li, “Tracking control of robot manipulators with unknown models: A Jacobian-matrix-adaption method,” IEEE Trans. Ind. Inf., Vol. 14, no. 7, pp. 3044–3053, 25 Oct 2017.
   Web of Science ®Google Scholar
• I. M. Mehedi, U. Ansari, and U. M. AL-Saggaf, “Three degrees of freedom rotary double inverted pendulum stabilization by using robust generalized dynamic inversion control: design and experiments,” J. Vib. Control, Vol. 26, no. 23–24, pp. 2174–2184, Mar. 2020.
   Web of Science ®Google Scholar
• U. Ansari, I. M. Mehedi, A. H. Bajodah, and U. M. Al-Saggaf. “Robust generalized dynamic inversion control for stabilizing rotary double inverted pendulum”, International Conference on Control Engineering & Information Technology (CEIT), IEEE, 2018, pp. 1–6.
   Google Scholar
• M. Adeli. “Anti-swing control for a double-pendulum-type overhead crane via parallel distributed fuzzy LQR controller combined with genetic fuzzy rule set selection.”, in International Conference on Control System, Computing and Engineering, IEEE, Nov. 2011 pp. 306–311.
   Google Scholar
• İH Akyüz, Z. Bingül, and S. Kizir, “Cascade fuzzy logic control of a single-link flexible-joint manipulator,” Turk. J. Electr. Eng. Comp. Sci., Vol. 20, no. 5, pp. 713–726, 2012.
   Web of Science ®Google Scholar