IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i20p3773-d941243.html
   My bibliography  Save this article

Automatic Control of a Mobile Manipulator Robot Based on Type-2 Fuzzy Sliding Mode Technique

Author

Listed:
  • Xin Xu

    (Department of Mechanical Engineering, Taiyuan Institute of Technology, Taiyuan 030008, China)

  • Ahmed Shaker

    (Engineering Physics and Mathematics Department, Faculty of Engineering, Ain Shams University, Cairo 11566, Egypt)

  • Marwa S. Salem

    (Department of Computer Engineering, College of Computer Science and Engineering, University of Ha’il, Ha’il 55211, Saudi Arabia
    Department of Electrical Communication and Electronics Systems Engineering, Faculty of Engineering, Modern Science and Arts University (MSA), Cairo 12556, Egypt)

Abstract

In this paper, an automatic control method based on type-2 fuzzy sliding mode control for a mobile arm robot is presented. These types of robots have very complex dynamics due to the uncertainty of the arm parameters and the mobility of their base, so conventional control methods do not provide a suitable solution. The proposed method proves convergence with Lyapunov theory, and its convergence is mathematically guaranteed. A type-2 fuzzy system is responsible for approximating unmodulated dynamics, nonlinear terms, and uncertain parameters. In simulations, the performance of the proposed method with different situations, including uncertainty in arm parameters, uncertainty in mobile robot parameters (arm robot base), uncertainty in load, as well as indeterminacy in modeling have been applied. The comparison with two conventional controllers shows the efficiency and superiority of the proposed method.

Suggested Citation

  • Xin Xu & Ahmed Shaker & Marwa S. Salem, 2022. "Automatic Control of a Mobile Manipulator Robot Based on Type-2 Fuzzy Sliding Mode Technique," Mathematics, MDPI, vol. 10(20), pages 1-18, October.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:20:p:3773-:d:941243
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/20/3773/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/10/20/3773/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Haifeng Huang & Mohammadamin Shirkhani & Jafar Tavoosi & Omar Mahmoud, 2022. "A New Intelligent Dynamic Control Method for a Class of Stochastic Nonlinear Systems," Mathematics, MDPI, vol. 10(9), pages 1-15, April.
    2. Libo Yang & Mei Guo & Ardashir Mohammadzadeh & Amir Mosavi, 2022. "Taylor Series-Based Fuzzy Model Predictive Control for Wheeled Robots," Mathematics, MDPI, vol. 10(14), pages 1-13, July.
    3. Guanbin Gao & Fei Liu & Hongjun San & Xing Wu & Wen Wang, 2018. "Hybrid Optimal Kinematic Parameter Identification for an Industrial Robot Based on BPNN-PSO," Complexity, Hindawi, vol. 2018, pages 1-11, July.
    4. Rahmat Aazami & Omid Heydari & Jafar Tavoosi & Mohammadamin Shirkhani & Ardashir Mohammadzadeh & Amir Mosavi, 2022. "Optimal Control of an Energy-Storage System in a Microgrid for Reducing Wind-Power Fluctuations," Sustainability, MDPI, vol. 14(10), pages 1-14, May.
    5. Saeed Danyali & Omid Aghaei & Mohammadamin Shirkhani & Rahmat Aazami & Jafar Tavoosi & Ardashir Mohammadzadeh & Amir Mosavi, 2022. "A New Model Predictive Control Method for Buck-Boost Inverter-Based Photovoltaic Systems," Sustainability, MDPI, vol. 14(18), pages 1-14, September.
    6. Rabee Rustum & Anu Mary John Kurichiyanil & Shaun Forrest & Corrado Sommariva & Adebayo J. Adeloye & Mohammad Zounemat-Kermani & Miklas Scholz, 2020. "Sustainability Ranking of Desalination Plants Using Mamdani Fuzzy Logic Inference Systems," Sustainability, MDPI, vol. 12(2), pages 1-22, January.
    7. Mobayen, Saleh & Ma, Jun, 2018. "Robust finite-time composite nonlinear feedback control for synchronization of uncertain chaotic systems with nonlinearity and time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 46-54.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Weijun Hu & Jiale Quan & Xianlong Ma & Mostafa M. Salah & Ahmed Shaker, 2023. "Analytical Design of Optimal Model Predictive Control and Its Application in Small-Scale Helicopters," Mathematics, MDPI, vol. 11(8), pages 1-15, April.
    2. Ye Wang & Zhaiaibai Ma & Mostafa M. Salah & Ahmed Shaker, 2023. "An Evolutionarily Based Type-2 Fuzzy-PID for Multi-Machine Power System Stabilization," Mathematics, MDPI, vol. 11(11), pages 1-18, May.
    3. Xinlan Guo & Mohammadamin Shirkhani & Emad M. Ahmed, 2022. "Machine-Learning-Based Improved Smith Predictive Control for MIMO Processes," Mathematics, MDPI, vol. 10(19), pages 1-19, October.
    4. Chan Gu & Encheng Chi & Chujia Guo & Mostafa M. Salah & Ahmed Shaker, 2023. "A New Self-Tuning Deep Neuro-Sliding Mode Control for Multi-Machine Power System Stabilizer," Mathematics, MDPI, vol. 11(7), pages 1-18, March.
    5. Md Tahmid Hussain & Adil Sarwar & Mohd Tariq & Shabana Urooj & Amal BaQais & Md. Alamgir Hossain, 2023. "An Evaluation of ANN Algorithm Performance for MPPT Energy Harvesting in Solar PV Systems," Sustainability, MDPI, vol. 15(14), pages 1-36, July.
    6. Mahsa Dehghan Manshadi & Milad Mousavi & M. Soltani & Amir Mosavi & Levente Kovacs, 2022. "Deep Learning for Modeling an Offshore Hybrid Wind–Wave Energy System," Energies, MDPI, vol. 15(24), pages 1-16, December.
    7. Ahmed Hussain Elmetwaly & Ramy Adel Younis & Abdelazeem Abdallah Abdelsalam & Ahmed Ibrahim Omar & Mohamed Metwally Mahmoud & Faisal Alsaif & Adel El-Shahat & Mohamed Attya Saad, 2023. "Modeling, Simulation, and Experimental Validation of a Novel MPPT for Hybrid Renewable Sources Integrated with UPQC: An Application of Jellyfish Search Optimizer," Sustainability, MDPI, vol. 15(6), pages 1-30, March.
    8. Lingqin Xia & Guang Chen & Tao Wu & Yu Gao & Ardashir Mohammadzadeh & Ebrahim Ghaderpour, 2022. "Optimal Intelligent Control for Doubly Fed Induction Generators," Mathematics, MDPI, vol. 11(1), pages 1-16, December.
    9. Jiabao Gu & Hui Wang & Wuquan Li & Ben Niu, 2022. "Adaptive State-Feedback Stabilization for Stochastic Nonlinear Systems with Time-Varying Powers and Unknown Covariance," Mathematics, MDPI, vol. 10(16), pages 1-16, August.
    10. Yaqiong Ding & Hanguang Jia & Yunong Zhang & Binbin Qiu, 2023. "High-Order Modeling, Zeroing Dynamics Control, and Perturbations Rejection for Non-Linear Double-Holding Water Tank," Mathematics, MDPI, vol. 11(13), pages 1-18, July.
    11. Zhenyu Zhu & Zhanshan Zhao & Haoliang Cui & Fengdong Shi, 2019. "Improved T-S Fuzzy Control for Uncertain Time-Delay Coronary Artery System," Complexity, Hindawi, vol. 2019, pages 1-11, May.
    12. Libo Yang & Mei Guo & Ardashir Mohammadzadeh & Amir Mosavi, 2022. "Taylor Series-Based Fuzzy Model Predictive Control for Wheeled Robots," Mathematics, MDPI, vol. 10(14), pages 1-13, July.
    13. Saeed Danyali & Omid Aghaei & Mohammadamin Shirkhani & Rahmat Aazami & Jafar Tavoosi & Ardashir Mohammadzadeh & Amir Mosavi, 2022. "A New Model Predictive Control Method for Buck-Boost Inverter-Based Photovoltaic Systems," Sustainability, MDPI, vol. 14(18), pages 1-14, September.
    14. Khanh Hieu Nguyen & Sung Hyun Kim, 2022. "Event-Triggered Non-PDC Filter Design of Fuzzy Markovian Jump Systems under Mismatch Phenomena," Mathematics, MDPI, vol. 10(16), pages 1-25, August.
    15. Harshavarthini, S. & Sakthivel, R. & Ma, Yong-Ki & Muslim, M., 2020. "Finite-time resilient fault-tolerant investment policy scheme for chaotic nonlinear finance system," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    16. Harshavarthini, S. & Sakthivel, R. & Kong, F., 2020. "Finite-time synchronization of chaotic coronary artery system with input time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    17. Ruitao Wang & Hui Wang & Wuquan Li & Ben Niu, 2022. "Output Tracking Control of Random Nonlinear Time-Varying Systems," Mathematics, MDPI, vol. 10(14), pages 1-13, July.
    18. Humam Al-Baidhani & Abdullah Sahib & Marian K. Kazimierczuk, 2023. "State Feedback with Integral Control Circuit Design of DC-DC Buck-Boost Converter," Mathematics, MDPI, vol. 11(9), pages 1-18, May.
    19. Yao, Qijia & Alsaade, Fawaz W. & Al-zahrani, Mohammed S. & Jahanshahi, Hadi, 2023. "Fixed-time neural control for output-constrained synchronization of second-order chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    20. Arun Kumar Udayakumar & Raghavendra Rajan Vijaya Raghavan & Mohamad Abou Houran & Rajvikram Madurai Elavarasan & Anushkannan Nedumaran Kalavathy & Eklas Hossain, 2023. "Three-Port Bi-Directional DC–DC Converter with Solar PV System Fed BLDC Motor Drive Using FPGA," Energies, MDPI, vol. 16(2), pages 1-21, January.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:20:p:3773-:d:941243. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.