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Published in: Soft Computing 6/2024

09-10-2023 | Application of soft computing

Design of a fuzzy trajectory tracking controller for a mobile manipulator system

Authors: Chia-Wen Chang, Chin-Wang Tao

Published in: Soft Computing | Issue 6/2024

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Abstract

Mobile manipulator robots that combine mobile platforms and robotic arms have been attracting considerable attention in recent years. In this paper, the motion control problem of the mobile manipulator system is considered with the following proposed control strategy. Firstly, a decoupled dynamic model is created to increase operation safety and to reduce complexity such that the independent controllers can be designed for the mobile system and the manipulator system. Subsequently, an effective reference trajectory generator is proposed to guide the mobile manipulator systems to the proper position for the manipulation being able to grip the target. Thereafter, the fuzzy controllers are designed for the mobile system to eliminate the tracking error and for the manipulator system to accomplish the gripping mission. The stability of the mobile manipulator control system can be guaranteed by the Lyapunov theory. Finally, the numerical simulations are given to demonstrate the effectiveness of the proposed approach. From the simulation results, it can be seen that this paper as well as other compared methods have good control response in case of small controller gain, in which the convergence time are about 4–5 s. However, by increasing the controller gain to improve the control response, the other methods will make the system unstable or the controller output will produce a large amount of chattering. The proposed controller in this paper can not only decrease the convergence time, from 5 to 3 s, but also provide a smooth control response.

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Literature
go back to reference Ahmad S, Zhang H, Liu G (2013) Multiple working mode control of door-opening with a mobile modular and reconfigurable robot. IEEE/ASME Trans Mechatron 18(3):833–844CrossRef Ahmad S, Zhang H, Liu G (2013) Multiple working mode control of door-opening with a mobile modular and reconfigurable robot. IEEE/ASME Trans Mechatron 18(3):833–844CrossRef
go back to reference Baraldi A, Blonda P (1999) A survey of fuzzy clustering algorithms for pattern recognition. I. IEEE Trans Syst Man Cybern B (Cybern) 29(6):778–785CrossRefPubMed Baraldi A, Blonda P (1999) A survey of fuzzy clustering algorithms for pattern recognition. I. IEEE Trans Syst Man Cybern B (Cybern) 29(6):778–785CrossRefPubMed
go back to reference Chang CW, Tao CW (2019) A simplified implementation of hierarchical fuzzy systems. Soft Comput 23(12):4471–4481CrossRef Chang CW, Tao CW (2019) A simplified implementation of hierarchical fuzzy systems. Soft Comput 23(12):4471–4481CrossRef
go back to reference Chang CW, Yang CY, Tao CW (2017) Interval fuzzy sliding-mode formation controller design. Soft Comput 21(14):4045–4054CrossRef Chang CW, Yang CY, Tao CW (2017) Interval fuzzy sliding-mode formation controller design. Soft Comput 21(14):4045–4054CrossRef
go back to reference Colucci G, Tagliavini L, Botta A et al (2023) Decoupled motion planning of a mobile manipulator for precision agriculture. Robotica 41(6):1872–1887CrossRef Colucci G, Tagliavini L, Botta A et al (2023) Decoupled motion planning of a mobile manipulator for precision agriculture. Robotica 41(6):1872–1887CrossRef
go back to reference Fierro R, Lewis F (1995) Control of a nonholonomic mobile robot: backstepping kinematics into dynamics. In: Proceedings of 1995 34th IEEE conference on decision and control, vol 4, pp 3805–3810 Fierro R, Lewis F (1995) Control of a nonholonomic mobile robot: backstepping kinematics into dynamics. In: Proceedings of 1995 34th IEEE conference on decision and control, vol 4, pp 3805–3810
go back to reference Galicki M (2015) An adaptive non-linear constraint control of mobile manipulators. Mech Mach Theory 88:63–85CrossRef Galicki M (2015) An adaptive non-linear constraint control of mobile manipulators. Mech Mach Theory 88:63–85CrossRef
go back to reference Garud KS, Jayaraj S, Lee MY (2021) A review on modeling of solar photovoltaic systems using artificial neural networks, fuzzy logic, genetic algorithm and hybrid models. Int J Energy Res 45(1):6–35CrossRef Garud KS, Jayaraj S, Lee MY (2021) A review on modeling of solar photovoltaic systems using artificial neural networks, fuzzy logic, genetic algorithm and hybrid models. Int J Energy Res 45(1):6–35CrossRef
go back to reference Ghavidel HF (2020) A modeling error-based adaptive fuzzy observer approach with input saturation analysis for robust control of affine and non-affine systems. Soft Comput 24(3):1717–1735CrossRef Ghavidel HF (2020) A modeling error-based adaptive fuzzy observer approach with input saturation analysis for robust control of affine and non-affine systems. Soft Comput 24(3):1717–1735CrossRef
go back to reference Hamner B, Koterba S, Shi J et al (2010) An autonomous mobile manipulator for assembly tasks. Auton Robots 28(1):131–149CrossRef Hamner B, Koterba S, Shi J et al (2010) An autonomous mobile manipulator for assembly tasks. Auton Robots 28(1):131–149CrossRef
go back to reference Haviland J, Sünderhauf N, Corke P (2022) A holistic approach to reactive mobile manipulation. IEEE Robot Autom Lett 7(2):3122–3129CrossRef Haviland J, Sünderhauf N, Corke P (2022) A holistic approach to reactive mobile manipulation. IEEE Robot Autom Lett 7(2):3122–3129CrossRef
go back to reference Holmberg R, Khatib O (2000) Development and control of a holonomic mobile robot for mobile manipulation tasks. Int J Robot Res 19(11):1066–1074CrossRef Holmberg R, Khatib O (2000) Development and control of a holonomic mobile robot for mobile manipulation tasks. Int J Robot Res 19(11):1066–1074CrossRef
go back to reference Jiao J, Cao Z, Gu N et al (2017) Transportation by multiple mobile manipulators in unknown environments with obstacles. IEEE Syst J 11(4):2894–2904ADSCrossRef Jiao J, Cao Z, Gu N et al (2017) Transportation by multiple mobile manipulators in unknown environments with obstacles. IEEE Syst J 11(4):2894–2904ADSCrossRef
go back to reference Kazeminezhad M, Etemad-Shahidi A, Mousavi S (2005) Application of fuzzy inference system in the prediction of wave parameters. Ocean Eng 32(14):1709–1725CrossRef Kazeminezhad M, Etemad-Shahidi A, Mousavi S (2005) Application of fuzzy inference system in the prediction of wave parameters. Ocean Eng 32(14):1709–1725CrossRef
go back to reference Khan MA (2020) Design and control of a robotic system based on mobile robots and manipulator arms for picking in logistics warehouses. PhD thesis, Normandie Université Khan MA (2020) Design and control of a robotic system based on mobile robots and manipulator arms for picking in logistics warehouses. PhD thesis, Normandie Université
go back to reference Lata S, Mehfuz S, Urooj S, et al. (2020) Fuzzy clustering algorithm for enhancing reliability and network lifetime of wireless sensor networks. IEEE Access 8:66,013–66,024 Lata S, Mehfuz S, Urooj S, et al. (2020) Fuzzy clustering algorithm for enhancing reliability and network lifetime of wireless sensor networks. IEEE Access 8:66,013–66,024
go back to reference Lehner P, Brunner S, Dömel A et al (2018) Mobile manipulation for planetary exploration. In: 2018 IEEE aerospace conference, pp 1–11 Lehner P, Brunner S, Dömel A et al (2018) Mobile manipulation for planetary exploration. In: 2018 IEEE aerospace conference, pp 1–11
go back to reference Mezui JMLN, Moungomo JBM, Kibouka GR et al (2023) SolidWorks/Simscape multibody co-simulation of the dynamic model of a mobile manipulator system. Int J Res Eng Sci Manag 6(1):79–87 Mezui JMLN, Moungomo JBM, Kibouka GR et al (2023) SolidWorks/Simscape multibody co-simulation of the dynamic model of a mobile manipulator system. Int J Res Eng Sci Manag 6(1):79–87
go back to reference Mishra S, Londhe P, Mohan S et al (2018) Robust task-space motion control of a mobile manipulator using a nonlinear control with an uncertainty estimator. Comput Electr Eng 67:729–740CrossRef Mishra S, Londhe P, Mohan S et al (2018) Robust task-space motion control of a mobile manipulator using a nonlinear control with an uncertainty estimator. Comput Electr Eng 67:729–740CrossRef
go back to reference Mishra S, Mohan S, Vishvakarma SK (2021) Performance investigations of an improved backstepping operational-space position tracking control of a mobile manipulator. Def Sci J 71(4):436–447CrossRef Mishra S, Mohan S, Vishvakarma SK (2021) Performance investigations of an improved backstepping operational-space position tracking control of a mobile manipulator. Def Sci J 71(4):436–447CrossRef
go back to reference Naranjo R, Santos M, Garmendia L (2021) A convolution-based distance measure for fuzzy singletons and its application in a pattern recognition problem. Soft Comput 28:51–63 Naranjo R, Santos M, Garmendia L (2021) A convolution-based distance measure for fuzzy singletons and its application in a pattern recognition problem. Soft Comput 28:51–63
go back to reference Peng J, Yang Z, Wang Y et al (2019) Robust adaptive motion/force control scheme for crawler-type mobile manipulator with nonholonomic constraint based on sliding mode control approach. ISA Trans 92:166–179CrossRefPubMed Peng J, Yang Z, Wang Y et al (2019) Robust adaptive motion/force control scheme for crawler-type mobile manipulator with nonholonomic constraint based on sliding mode control approach. ISA Trans 92:166–179CrossRefPubMed
go back to reference Raja K (2023) Python-based fuzzy logic in automatic washer control system. Soft Comput 27(10):6159–6185CrossRef Raja K (2023) Python-based fuzzy logic in automatic washer control system. Soft Comput 27(10):6159–6185CrossRef
go back to reference Ruspini EH, Bezdek JC, Keller JM (2019) Fuzzy clustering: a historical perspective. IEEE Comput Intell Mag 14(1):45–55CrossRef Ruspini EH, Bezdek JC, Keller JM (2019) Fuzzy clustering: a historical perspective. IEEE Comput Intell Mag 14(1):45–55CrossRef
go back to reference Seo IS, Han SI (2018) Dual closed-loop sliding mode control for a decoupled three-link wheeled mobile manipulator. ISA Trans 80:322–335CrossRefPubMed Seo IS, Han SI (2018) Dual closed-loop sliding mode control for a decoupled three-link wheeled mobile manipulator. ISA Trans 80:322–335CrossRefPubMed
go back to reference Wang L, Langari R (1996) Complex systems modeling via fuzzy logic. IEEE Trans Syst Man Cybern B (Cybern) 26(1):100–106CrossRefPubMed Wang L, Langari R (1996) Complex systems modeling via fuzzy logic. IEEE Trans Syst Man Cybern B (Cybern) 26(1):100–106CrossRefPubMed
go back to reference Yamamoto Y, Yun X (1994) Coordinating locomotion and manipulation of a mobile manipulator. IEEE Trans Autom Control 39(6):1326–1332CrossRef Yamamoto Y, Yun X (1994) Coordinating locomotion and manipulation of a mobile manipulator. IEEE Trans Autom Control 39(6):1326–1332CrossRef
go back to reference Yi G, Mao J, Wang Y et al (2018) Adaptive tracking control of nonholonomic mobile manipulators using recurrent neural networks. Int J Control Autom Syst 16(3):1390–1403CrossRef Yi G, Mao J, Wang Y et al (2018) Adaptive tracking control of nonholonomic mobile manipulators using recurrent neural networks. Int J Control Autom Syst 16(3):1390–1403CrossRef
Metadata
Title
Design of a fuzzy trajectory tracking controller for a mobile manipulator system
Authors
Chia-Wen Chang
Chin-Wang Tao
Publication date
09-10-2023
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 6/2024
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-023-09298-z

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