Abstract
Applications based on inverted pendulum principle, have proliferated in recent years, surveillance system such as two-wheeled vehicles or manipulators attached to robotics legs in humanoids robots are some examples. Even though the control of inverted pendulum has been deeply studied in the academic community for decades, there are few implementations with a Fuzzy Takagi Sugeno model for overlapped membership functions joint to Linear Quadratic Regulator, because just in [11], this kind of generalized T-S modeling was addressed. This paper presents the implementation of a nonlinear Fuzzy Takagi-Sugeno control with overlapped membership functions applied to a mobile inverted pendulum mechanism and its comparison against LQR in terms of state space behavior and robustness.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Quanser™: Quanser - real-time control experiments for education and research, Feburary 2017. http://www.quanser.com/
Hercus, R., Wong, K.-Y., Shee, S.-K., Ho, K.-F.: Control of an inverted pendulum using the neurabase network model. In: Lee, M., Hirose, A., Hou, Z.-G., Kil, R.M. (eds.) Neural Information Processing, pp. 605–615. Springer, Heidelberg (2013)
Nawawi, S.W., Ahmad, M.N., Osman, J.H.S.: Control of two-wheels inverted pendulum mobile robot using full order sliding mode control. In: Proceedings of International Conference on Man-Machine Systems, Langkawi, Malaysia, 15–16 September 2006
Olcay, T., Özkurt, A.: Design and walking pattern generation of a biped robot. Turk. J. Electr. Eng. Comput. Sci. 25(2), 761–769 (2017)
Back, S., Lee, S.-G.: Modeling and control system design of a ball segway. In: 2016 16th International Conference on Control, Automation and Systems (ICCAS), pp. 481–483. IEEE (2016)
Pousti, A., Bodur, M.: Kinematics and dynamics of a wheeled mobile inverted pendulum. IEEE Xplore, 10–12 July 2008
Nawawi, S.W., Ahmad, M.N., Osman, J.H.S.: Real-time control of a two-wheeled inverted pendulum mobile robot. Int. J. Electr. Comput. Eng. 39, 214–220 (2008)
Chu, T.-D., Chen, C.-K.: Design and implementation of model predictive control for a gyroscopic inverted pendulum. Appl. Sci. 7(12), 1272 (2017)
Kawashima, T.: Simulation study on an acceleration control system for semi–active in-car crib with joint application of regular and inverted pendulum mechanisms. Mech. Eng. J. 4(4), 17–27 (2017)
Dini, N., Majd, V.J.: Model predictive control of a wheeled inverted pendulum robot. In: 2015 3rd RSI International Conference on Robotics and Mechatronics (ICROM), pp. 152–157. IEEE (2015)
Al-Hadithi, B.M., Jimenez, A., Matia, F.: A new approach to fuzzy estimation of Takagi-Sugeno model and its applications to optimal control for nonlinear systems. Appl. Soft Comput. 12(1), 280–290 (2012)
Adanez, J.M., Al-Hadithi, B.M., Jimenez, A., Matia, F.: Optimal control of a ball and beam nonlinear model based on Takagi-Sugeno fuzzy model. In: Advances in Fuzzy Logic and Technology, pp. 1–11. Springer, Cham (2017)
Aranda-Escolástico, E., et al.: Control of a chain pendulum: a fuzzy logic approach. Int. J. Comput. Intell. Syst. 9(2), 281–295 (2016)
Wang, D., Han, P.: Controlling chaotic systems using aggregated linear quadratic regulator. Prz. Elektrotech. 88(7b), 336–340 (2012)
Ko, H.-S., Jatskevich, J.: Power quality control of wind-hybrid power generation system using fuzzy-LQR controller. IEEE Trans. Energy Conv. 22(2), 516–527 (2007)
Tao, C.-W., Taur, J.-S., Chen, Y.C.: Design of a parallel distributed fuzzy LQR controller for the twin rotor multi-input multi-output system. Fuzzy Sets Syst. 161(15), 2081–2103 (2010)
Arevalo-Castiblanco, M.F., Rodriguez-Garavito, C., Patiño-Forero, A.A., Salazar-Caceres, J.F.: Controlador lqr y smc aplicado a plataformas pendulares. Rev. Iberoam. Autom. Inform. Ind. 15(3), (2018)
Yamamoto, Y.: NXTway-GS model-based design-control of self-balancing two-wheeled robot built with LEGO mindstorms NXT, Technical report. Cybernet Systems Co., Ltd., Mathworks Inc. (2009)
Barrientos, A.: Fundamentos de Robotica. Mcgraw-Hill/Interamericana De Espana, Madrid (2007)
Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. Syst. Man Cybern. 15(1), 116–132 (1985)
Arevalo-Castiblanco, M.F., Rodriguez-Garavito, C.H., Patiño-Forero, A.A.: Identification of a non-linear model type inverted rotary pendulum. In: 2017 IEEE 3rd Colombian Conference on Automatic Control (CCAC), pp. 1–6, November 2017
Acknowledgement
This work was supported by La Salle University, Bogotá-Colombia, through the VRIT project (24326205).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer International Publishing AG, part of Springer Nature
About this paper
Cite this paper
Rodriguez-Garavito, C.H., Arevalo-Castiblanco, M.F., Patiño-Forero, A.A. (2019). Implementation of a Non-linear Fuzzy Takagi-Sugeno Controller Applied to a Mobile Inverted Pendulum. In: Graña, M., et al. International Joint Conference SOCO’18-CISIS’18-ICEUTE’18. SOCO’18-CISIS’18-ICEUTE’18 2018. Advances in Intelligent Systems and Computing, vol 771. Springer, Cham. https://doi.org/10.1007/978-3-319-94120-2_33
Download citation
DOI: https://doi.org/10.1007/978-3-319-94120-2_33
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-94119-6
Online ISBN: 978-3-319-94120-2
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)