{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,9]],"date-time":"2025-11-09T03:53:36Z","timestamp":1762660416172,"version":"build-2065373602"},"reference-count":31,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2023,9,23]],"date-time":"2023-09-23T00:00:00Z","timestamp":1695427200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Ministry of Posts, Telecommunication and Information Technology, The People\u2019s Republic of Bangladesh, under the Information and Communication Technology (ICT) Division","award":["G.O. 56.00.0000.028.33.096.19-93"],"award-info":[{"award-number":["G.O. 56.00.0000.028.33.096.19-93"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computers"],"abstract":"<jats:p>Robotics is a crucial technology of Industry 4.0 that offers a diverse array of applications in the industrial sector. However, the quality of a robot\u2019s manipulator is contingent on its stability, which is a function of the manipulator\u2019s parameters. In previous studies, stability has been evaluated based on a small number of manipulator parameters; as a result, there is not much information about the integration\/optimal arrangement\/combination of manipulator parameters toward stability. Through Lagrangian mechanics and the consideration of multiple parameters, a mathematical model of a modern manipulator is developed in this study. In this mathematical model, motor acceleration, moment of inertia, and deflection are considered in order to assess the level of stability of the ABB Robot manipulator of six degrees of freedom. A novel mathematical approach to stability is developed in which stability is correlated with motor acceleration, moment of inertia, and deflection. In addition to this, fuzzy logic inference principles are employed to determine the status of stability. The numerical data of different manipulator parameters are verified using mathematical approaches. Results indicated that as motor acceleration increases, stability increases, while stability decreases as moment of inertia and deflection increase. It is anticipated that the implementation of these findings will increase industrial output.<\/jats:p>","DOI":"10.3390\/computers12100190","type":"journal-article","created":{"date-parts":[[2023,9,24]],"date-time":"2023-09-24T10:40:22Z","timestamp":1695552022000},"page":"190","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Model and Fuzzy Controller Design Approaches for Stability of Modern Robot Manipulators"],"prefix":"10.3390","volume":"12","author":[{"given":"Shabnom","family":"Mustary","sequence":"first","affiliation":[{"name":"Department of Computer Science and Engineering, Dhaka University of Engineering & Technology (DUET), Gazipur 1707, Bangladesh"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohammod Abul","family":"Kashem","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Engineering, Dhaka University of Engineering & Technology (DUET), Gazipur 1707, Bangladesh"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6206-1621","authenticated-orcid":false,"given":"Mohammad Asaduzzaman","family":"Chowdhury","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Dhaka University of Engineering & Technology (DUET), Gazipur 1707, Bangladesh"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3403-4095","authenticated-orcid":false,"given":"Jia","family":"Uddin","sequence":"additional","affiliation":[{"name":"AI and Big Data Department, Endicott College, Woosong University, Daejeon 300-718, Republic of Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,9,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Chen, J., Gao, F., Huang, C., and Zhao, J. (2019). Whole-body motion planning for a six-legged robot walking on rugged terrain. Appl. Sci., 9.","DOI":"10.3390\/app9245284"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Hao, Q., Wang, Z., Wang, J., and Chen, G. (2020). Stability-guaranteed and high terrain adaptability static gait for quadruped robots. Sensors, 20.","DOI":"10.3390\/s20174911"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"506","DOI":"10.1109\/TRO.2020.3031245","article-title":"Slip detection for grasp stabilization with a multifingered tactile robot hand","volume":"37","author":"James","year":"2020","journal-title":"IEEE Trans. Robot."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Kaymak, \u00c7., U\u00e7ar, A., and G\u00fczeli\u015f, C. (2023). Development of a New Robust Stable Walking Algorithm for a Humanoid Robot Using Deep Reinforcement Learning with Multi-Sensor Data Fusion. Electronics, 12.","DOI":"10.3390\/electronics12030568"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"2354","DOI":"10.1109\/TRO.2021.3140147","article-title":"Rock-and-walk manipulation: Object locomotion by passive rolling dynamics and periodic active control","volume":"38","author":"Nazir","year":"2022","journal-title":"IEEE Trans. Robot."},{"key":"ref_6","first-page":"7390","article-title":"Modelling, stability analysis and control of flexible single link robotic manipulator","volume":"3","author":"Rana","year":"2014","journal-title":"Int. J. Adv. Res. Electr. Electron. Instrum. Eng."},{"key":"ref_7","unstructured":"Saeed, B.N. (2001). Introduction to Robotics Analysis, Systems, Applications, Prentice Hall."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1687814018768166","DOI":"10.1177\/1687814018768166","article-title":"Acceleration analysis and optimal design of a 3-degree-of-freedom co-axis parallel manipulator for pick-and-place applications","volume":"10","author":"Liao","year":"2018","journal-title":"Adv. Mech. Eng."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1186\/s10033-020-0433-8","article-title":"Kinematic and dynamic analysis of a 3-PRUS spatial parallel manipulator","volume":"33","author":"Thomas","year":"2020","journal-title":"Chin. J. Mech. Eng."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1587","DOI":"10.1109\/LRA.2019.2896728","article-title":"Provably robust learning-based approach for high-accuracy tracking control of lagrangian systems","volume":"4","author":"Helwa","year":"2019","journal-title":"IEEE Robot. Autom. Lett."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"689","DOI":"10.1007\/s11071-018-4218-x","article-title":"The closed-form motion equation of redundant actuation parallel robot with joint friction: An application of the Udwadia\u2013Kalaba approach","volume":"93","author":"Hui","year":"2018","journal-title":"Nonlinear Dyn."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"He, Y., Chen, J., Gao, J., Cui, C., Yang, Z., Chen, X., Chen, Y., Zhang, K., and Tang, H. (2018, January 8\u201311). Research on Motion Simulation of Wafer Handling Robot Based on SCARA. Proceedings of the 2018 19th International Conference on Electronic Packaging Technology (ICEPT), Shanghai, China.","DOI":"10.1109\/ICEPT.2018.8480663"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/j.arcontrol.2022.04.009","article-title":"Review and descriptive investigation of the connection between bipedal locomotion and non-prehensile manipulation","volume":"53","author":"Farid","year":"2022","journal-title":"Annu. Rev. Control"},{"key":"ref_14","unstructured":"Kang, B., Chu, J., and Mills, J.K. (2001, January 21\u201326). Design of high speed planar parallel manipulator and multiple simultaneous specification control. Proceedings of the 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No. 01CH37164), Seoul, Republic of Korea."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"228","DOI":"10.1016\/j.precisioneng.2021.09.006","article-title":"Hybrid stepper motor with two rows of teeth on a cup-shaped rotor and a two-part stator","volume":"73","author":"Hojati","year":"2022","journal-title":"Precis. Eng."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Namazov, M. (2018, January 13\u201315). Fuzzy logic control design for 2-link robot manipulator in MATLAB\/Simulink via robotics toolbox. Proceedings of the 2018 Global Smart Industry Conference (GloSIC), Chelyabinsk, Russia.","DOI":"10.1109\/GloSIC.2018.8570085"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Mendon\u00e7a, M., Kondo, H.S., de Souza, L.B., Pal\u00e1cios, R.H.C., and de Almeida, J.P.L.S. (2019, January 23\u201326). Semi-Unknown Environments Exploration Inspired by Swarm Robotics using Fuzzy Cognitive Maps. Proceedings of the 2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), New Orleans, LO, USA.","DOI":"10.1109\/FUZZ-IEEE.2019.8858847"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Selaka, H.S., Perera, K.A.T.S., Deepal, M.A.W.T., Sanjeewa, P.D.R., Sirithunge, H.C., and Jayasekara, A.G.B.P. (June, January 30). Fuzzy-Bot: A Food Serving Robot as a Teaching and Learning Platform for Fuzzy Logic. Proceedings of the 2018 Moratuwa Engineering Research Conference (MERCon), Moratuwa, Sri Lanka.","DOI":"10.1109\/MERCon.2018.8421898"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/j.procs.2017.12.004","article-title":"Mobile robot navigation using fuzzy logic in static environments","volume":"125","author":"Singh","year":"2018","journal-title":"Procedia Comput. Sci."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"107183","DOI":"10.1016\/j.asoc.2021.107183","article-title":"Adaptive fuzzy logic with self-tuned membership functions based repetitive learning control of robotic manipulators","volume":"104","author":"Yilmaz","year":"2021","journal-title":"Appl. Soft Comput."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"4577","DOI":"10.1109\/LRA.2023.3286176","article-title":"Fuzzy-Immune-Regulated Adaptive Degree-of-Stability LQR for a Self-Balancing Robotic Mechanism: Design and HIL Realization","volume":"8","author":"Saleem","year":"2023","journal-title":"IEEE Robot. Autom. Lett."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Saleem, O., Iqbal, J., and Afzal, M.S. (2023). A robust variable-structure LQI controller for under-actuated systems via flexible online adaptation of performance-index weights. PLoS ONE, 18.","DOI":"10.1371\/journal.pone.0283079"},{"key":"ref_23","unstructured":"ABB Robotics (2022). Product Specification CRB 15000, ABB Robotics."},{"key":"ref_24","unstructured":"(2023, January 20). Available online: www.maxpowergears.com."},{"key":"ref_25","unstructured":"(2023, January 27). Available online: https:\/\/www.abb-conversations.com\/2017\/07\/abb-motor-sets-world-record-in-energy-efficiency\/."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"2369","DOI":"10.1109\/TMECH.2018.2854844","article-title":"A stability analysis for the acceleration-based robust position control of robot manipulators via disturbance observer","volume":"23","author":"Sariyildiz","year":"2018","journal-title":"IEEE\/ASME Trans. Mechatron."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1615\/TelecomRadEng.v79.i2.70","article-title":"Effective tuning of membership function parameters in fuzzy systems based on multi-valued interval logic","volume":"79","author":"Tvoroshenko","year":"2020","journal-title":"Telecommun. Radio Eng."},{"key":"ref_28","unstructured":"Sutcliffe, G., and Pelletier, F.J. (2019). Automated Deduction\u2013CADE 27: 27th International Conference on Automated Deduction, Natal, Brazil, 27\u201330 August 2019, Springer International Publishing. Proceedings 27."},{"key":"ref_29","unstructured":"(2023, January 27). Available online: https:\/\/www.researchgate.net\/figure\/Block-Diagram-of-Fuzzy-Logic-Controller_fig4_286765408."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"795","DOI":"10.1007\/s00170-009-2017-8","article-title":"Controlling the navigation of automatic guided vehicle (AGV) using integrated fuzzy logic controller with programmable logic controller (IFLPLC)\u2014Stage 1","volume":"47","author":"Yahyaei","year":"2010","journal-title":"Int. J. Adv. Manuf. Technol."},{"key":"ref_31","unstructured":"Krishan, K. (1997). Computer-Based Industrial Control, PHI Private Ltd."}],"container-title":["Computers"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-431X\/12\/10\/190\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T20:56:47Z","timestamp":1760129807000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-431X\/12\/10\/190"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,9,23]]},"references-count":31,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2023,10]]}},"alternative-id":["computers12100190"],"URL":"https:\/\/doi.org\/10.3390\/computers12100190","relation":{},"ISSN":["2073-431X"],"issn-type":[{"type":"electronic","value":"2073-431X"}],"subject":[],"published":{"date-parts":[[2023,9,23]]}}}