Synergetic Control-Based Sea Lion Optimization Approach for Position Tracking Control of Ball and Beam System

(1) * Huthaifa Al-Khazraji Mail (University of Technology-Iraq, Iraq)
(2) Kareem Albadri Mail (University of Technology-Iraq, Iraq)
(3) Rawaa Almajeez Mail (University of Technology-Iraq, Iraq)
(4) Amjad J Humaidi Mail (University of Technology-Iraq, Iraq)
*corresponding author

Abstract


One of the most difficult systems to control is the ball and beam (BnB) system due to its under-actuation, instability, and nonlinearity. To address these challenges, this paper presents an application of using the nonlinear synergetic control (SC) algorithm for position tracking control of the BnB system. A swarm optimization method based on sea lion optimization (SLO) has also been used to achieve an optimum dynamic performance by adjusting the suggested controller’s parameter. The Integral Time of Absolute Errors (ITAE) is employed by the SLO as an objective function to adjust the design parameters of the suggested SC. Using MATLAB software, a comparison has been made between the SC controller and the classical state feedback controller (SFC) to test the effectiveness of the suggested control algorithm. The findings illustrate that the suggested SC offers better transient response in terms of reducing the settling time and the overshoot than SFC. The effect of the external disturbance has also been examined. It has been found that SC provides more robustness performance than SFC.

   

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https://doi.org/10.31763/ijrcs.v4i4.1551
      

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[1] T. Abut, “Position controller design and implementation of ball and beam system with SMC and PD control methods,†Energy Engineering and Control Systems, vol. 6, no. 2, pp. 120-126, 2020, https://doi.org/10.23939/jeecs2020.02.120.

[2] M. Amjad, M. I. Kashif, S. S. Abdullah and Z. Shareef, “A simplified intelligent controller for ball and beam system,†2010 2nd International Conference on Education Technology and Computer, pp. V3-494-V3-498, 2010, https://doi.org/10.1109/ICETC.2010.5529491.

[3] A. A. Ezzabi, K. C. Cheok and F. A. Alazabi, “A nonlinear backstepping control design for ball and beam system,†2013 IEEE 56th International Midwest Symposium on Circuits and Systems (MWSCAS), Columbus, pp. 1318-1321, 2013, https://doi.org/10.1109/MWSCAS.2013.6674898.

[4] Wen Yu and F. Ortiz, “Stability analysis of PD regulation for ball and beam system,†Proceedings of 2005 IEEE Conference on Control Applications, 2005. CCA 2005., pp. 517-522, 2005, https://doi.org/10.1109/CCA.2005.1507178.

[5] P. V. M. Maalini, G. Prabhakar and S. Selvaperumal, “Modelling and control of ball and beam system using PID controller,†2016 International Conference on Advanced Communication Control and Computing Technologies (ICACCCT), pp. 322-326, 2016, https://doi.org/10.1109/ICACCCT.2016.7831655.

[6] H. Ali, A. Albagul, and A. Algitta, “Optimization of Pid Parameters Based on Particle Swarm Optimization for Ball and Beam System,†International Journal of Engineering Technologies and Management Research, vol. 5, no. 9, pp. 590-69, 2020, https://doi.org/10.29121/ijetmr.v5.i9.2018.289.

[7] B. M. Hung, S. S. You, H. S. Kim, and T. W. Lim, “Embedded controller building for ball and beam system using optimal control synthesis,†Journal of Engineering Science and Technology, vol. 12, no. 6, pp. 1460-1474, 2017, https://jestec.taylors.edu.my/Vol%2012%20issue%206%20June%202017/12_6_3.pdf.

[8] S. Latif, E. Muhammad and U. Naeem, “Implementation of ball and beam system using classical and advanced control techniques,†2019 International Conference on Applied and Engineering Mathematics (ICAEM), pp. 74-79, 2019, https://doi.org/10.1109/ICAEM.2019.8853822.

[9] M. Hamid and L. Elaheh, “Designing a Fuzzy Type-2 Model-based Robust Controller for Ball and Beam System,†Procedia Computer Science, vol. 105, pp. 125-130, 2016, https://doi.org/10.1016/j.procs.2017.01.189.

[10] K. Can and A. Başçi, “Position Control of a Ball & Beam Experimental Setup Based on Sliding Mode Controller,†International Journal of Applied Mathematics Electronics and Computers, pp. 29-35, 2017, https://doi.org/10.18100/ijamec.2017SpecialIssue30467.

[11] R. Khan, F. M. Malik, A. Raza, N. Mazhar, H. Ullah and M. Umair, “Robust Nonlinear Control Design and Disturbance Estimation for Ball and beam System,†2020 3rd International Conference on Computing, Mathematics and Engineering Technologies (iCoMET), pp. 1-6, 2020, https://doi.org/10.1109/iCoMET48670.2020.9073936.

[12] Y. H. Chang, C. W. Chang, C. W. Tao, H. W. Lin, and J. S. Taur, “Fuzzy sliding-mode control for ball and beam system with fuzzy ant colony optimization,†Expert Systems with Applications, vol. 39, no. 3, pp. 3624-3633, 2012, https://doi.org/10.1016/j.eswa.2011.09.052.

[13] D. Grundel, “Conference report - 2004 american control conference,†IEEE Control Systems Magazine, vol. 24, no. 6, pp. 99-104, 2004, https://doi.org/10.1109/MCS.2004.1368485.

[14] A. F. Mutlak and A. J. Humaidi, “Adaptive synergetic control for electronic throttle valve system,†International Review of Applied Sciences and Engineering, vol. 15, no. 2, pp. 211-220, 2024, https://doi.org/10.1556/1848.2023.00706.

[15] A. J. Humaidi, I. K. Ibraheem, A. T. Azar, M. E. Sadiq, “A New Adaptive Synergetic Control Design for Single Link Robot Arm Actuated by Pneumatic Muscles,†Entropy, vol. 22, no. 7, pp. 723, 2020, https://doi.org/10.3390/e22070723.

[16] R. A. Kadhim, M. Q. Kadhim, H. Al-Khazraji and A. J. Humaidi, “Bee Algorithm Based Control Design for Two-links Robot Arm Systems,†IIUM Engineering Journal, vol. 25, no. 2, pp. 367-380, 2024, https://doi.org/10.31436/iiumej.v25i2.3188.

[17] R. M. Naji, H. Dulaimi and H. Al-Khazraji, “An Optimized PID Controller Using Enhanced Bat Algorithm in Drilling Processes,†Journal Européen des Systèmes Automatisés, vol. 57, no. 3, pp. 767-772, 2024, https://doi.org/10.18280/jesa.570314.

[18] A. K. Ahmed, H. Al-Khazraji, and S. M. Raafat, “Optimized PI-PD Control for Varying Time Delay Systems Based on Modified Smith Predictor,†International Journal of Intelligent Engineering & Systems, vol. 17, no. 1, pp. 331-342, 2024, https://doi.org/10.22266/ijies2024.0229.30.

[19] H. Al-Khazraji, R. M. Naji, and M. K. Khashan, “Optimization of Sliding Mode and Back-Stepping Controllers for AMB Systems Using Gorilla Troops Algorithm,†Journal Européen des Systèmes Automatisés, vol. 57, no. 2, pp. 417-424, 2024, https://doi.org/10.18280/jesa.570211.

[20] M. A. AL-Ali, O. F. Lutfy and H. Al-Khazraj, “Comparative Study of Various Controllers Improved by Swarm Optimization for Nonlinear Active Suspension Systems with Actuator Saturation,†International Journal of Intelligent Engineering & Systems, vol. 17, no. 4, pp. 870-881, 2024, https://doi.org/10.22266/ijies2024.0831.66.

[21] Z. N. Mahmood, H. Al-Khazraji and S. M. Mahdi, “Adaptive control and enhanced algorithm for efficient drilling in composite materials,†Journal Européen des Systèmes Automatisés, vol. 56, no. 3, pp. 507-512, 2023, https://doi.org/10.18280/jesa.560319.

[22] A. Huthaifa, G. William, H. A. Jaleel, “Improved cuckoo search optimization for production inventory control systems,†Serbian Journal of Electrical Engineering, vol. 21, no. 2, pp. 187-200, 2024, https://doi.org/10.2298/SJEE2402187A.

[23] H. Al-Khazraji, “Comparative Study of Whale Optimization Algorithm and Flower Pollination Algorithm to Solve Workers Assignment Problem,†International Journal of Production Management and Engineering, vol. 10, no. 1, pp. 91-98, 2022, https://doi.org/10.4995/ijpme.2022.16736.

[24] S. Khlil, H. Al-Khazraji and Z. Alabacy, “Solving assembly production line balancing problem using greedy heuristic method,†IOP Conference Series: Materials Science and Engineering, vol. 745, no. 1, p. 012068, 2020, https://doi.org/10.1088/1757-899X/745/1/012068.

[25] M. Agarwal, S. Biswas, C. Sarkar, S. Paul and H. S. Paul, “Jampacker: An Efficient and Reliable Robotic Bin Packing System for Cuboid Objects,†IEEE Robotics and Automation Letters, vol. 6, no. 2, pp. 319-326, 2021, https://doi.org/10.1109/LRA.2020.3043168.

[26] H. Al-Khazraji, C. Cole, and W. Guo, “Optimization and simulation of dynamic performance of production–inventory systems with multivariable controls,†Mathematics, vol. 9, no. 5, p. 568, 2021, https://doi.org/10.3390/math9050568.

[27] H. Al-Khazraji, C. Cole and W. Guo, “Multi-objective particle swarm optimisation approach for production-inventory control systems,†Journal of Modelling in Management, vol. 13, no. 4, pp. 1037-1056, 2018, https://doi.org/10.1108/JM2-02-2018-0027.

[28] H. Al-Khazraji, C. Cole and W. Guo, “Analysing the impact of different classical controller strategies on the dynamics performance of production-inventory systems using state space approach,†Journal of Modelling in Management, vol. 13, no. 1, pp. 211-235, 2018, https://doi.org/10.1108/JM2-08-2016-0071.

[29] H. Al-Khazraji, C. Cole and W. Guo, “Dynamics analysis of a production-inventory control system with two pipelines feedback,†Kybernetes, vol. 46, no. 10, pp. 1632-1653, 2017, https://doi.org/10.1108/K-04-2017-0122.

[30] M. A. Al-Ali, O. F. Lutfy and H. Al-Khazraj, “Investigation of Optimal Controllers on Dynamics Performance of Nonlinear Active Suspension Systems with Actuator Saturation,†Journal of Robotics and Control, vol. 5, no. 4, pp. 1041-1049, 2024, https://doi.org/10.18196/jrc.v5i4.22139.

[31] J. D. J. Rubio, “Robust feedback linearization for nonlinear processes control,†ISA Transactions, vol. 74, pp. 155-164, 2018, https://doi.org/10.1016/j.isatra.2018.01.017.

[32] H. Al-Khazraji and L. T. Rasheed, “Performance Evaluation of Pole Placement and Linear Quadratic Regulator Strategies Designed for Mass-Spring-Damper System Based on Simulated Annealing and Ant Colony Optimization,†Journal of Engineering, vol. 27, no. 11, pp. 15-31, 2021, http://orcid.org/0000-0002-6290-3382.

[33] A. K. Ahmed and H. Al-Khazraji, “Optimal Control Design for Propeller Pendulum Systems Using Gorilla Troops Optimization,†Journal Européen des Systèmes Automatisés, vol. 56, no. 4, pp. 575-582, 2023, https://doi.org/10.18280/jesa.560407.

[34] M. A. Mutlak, A. J. Humaidi, “A comparative study of synergetic and sliding mode controllers for pendulum systems,†Journal Européen des Systèmes Automatisés, vol. 56, no. 5, pp. 871-877, 2023, https://doi.org/10.18280/jesa.560518.

[35] S. M. Mahdi, N. Q. Yousif, A. A. Oglah, M. E. Sadiq, A. J. Humaidi, and A. T. Azar, “Adaptive Synergetic Motion Control for Wearable Knee-Assistive System: A Rehabilitation of Disabled Patients,†Actuators, vol. 11, no. 11, pp. 176, 2022, https://doi.org/10.3390/act11070176.

[36] A. Q. Al-Dujaili, A. J. Humaidi, Z. T. Allawi and M. E. Sadiq, “Earthquake hazard mitigation for uncertain building systems based on adaptive synergetic control,†Applied system innovation, vol. 6, no. 2, p. 34, 2023, https://doi.org/10.3390/asi6020034.

[37] A. K. Abbas and S. K. Kadhim, “Dynamic Motion Control of Two-Link Robots with Adaptive Synergetic Algorithms,†Journal of Robotics and Control, vol. 5, no. 5, pp. 1536-1548, 2024, https://doi.org/10.18196/jrc.v5i5.22985.

[38] J. Qian, K. Li, H. Wu, J. Yang, and X. Li, “Synergetic Control of Grid-Connected Photovoltaic Systems,†International Journal Photoenergy, vol. 2017, no. 1, pp. 1-11, 2017, https://doi.org/10.1155/2017/5051489.

[39] H. Al-Khazraji, K. Al-Badri, R. Al-Majeez and A. J. Humaidi, “Synergetic Control Design Based Sparrow Search Optimization for Tracking Control of Driven-Pendulum System,†Journal of Robotics and Control, vol. 5, no. 5, pp. 1549-1556, 2024, https://doi.org/10.18196/jrc.v5i5.22893.

[40] L. Abualigah, S. Ekinci and D. Izci, “Aircraft Pitch Control via Filtered Proportional-Integral-Derivative Controller Design Using Sinh Cosh Optimizer,†International Journal of Robotics and Control Systems, vol. 4, no. 2, pp. 746-757, 2024, https://doi.org/10.31763/ijrcs.v4i2.1433.

[41] A.S. Ahmed and S.K. Kadhim, “A comparative study between convolution and optimal backstepping controller for single arm pneumatic artificial muscles,†Journal of Robotics and Control, vol. 3, no. 6, pp. 769-778, 2022, https://doi.org/10.18196/jrc.v3i6.16064.

[42] M. Singh, S. Arora and O. A. Shah, “Enhancing Hybrid Power System Performance with GWO-Tuned Fuzzy-PID Controllers: A Comparative Study,†International Journal of Robotics & Control Systems, vol. 4, no. 2, pp. 709-726, 2024, https://doi.org/10.31763/ijrcs.v4i2.1388.

[43] L. K. Fong, M. S. Islam and M. A. Ahmad, “Optimized PID Controller of DC-DC Buck Converter based on Archimedes Optimization Algorithm,†International Journal of Robotics & Control Systems, vol. 3, no. 4, pp. 658-672, 2023, https://doi.org/10.31763/ijrcs.v3i4.1113.

[44] R. S. Raheem, M. Y. Hassan and S. K. Kdahim, “Particle swarm optimization based interval type 2 fuzzy logic control for motor rotor position control of artificial heart pump,†Indonesian Journal of Electrical Engineering and Computer Science, vol. 25, no. 2, pp. 814-824, 2022, http://doi.org/10.11591/ijeecs.v25.i2.pp814-824.

[45] R. Masadeh, B. A. Mahafzah, and A. Sharieh, “Sea Lion Optimization algorithm,†International Journal of Advanced Computer Science and Applications, vol. 10, no. 5, pp. 388-395, 2019, https://dx.doi.org/10.14569/IJACSA.2019.0100548.

[46] N. K. T. El-Omari, “Sea Lion Optimization Algorithm for Solving the Maximum Flow Problem,†IJCSNS International Journal of Computer Science and Network Security, vol. 20, no. 8, pp. 30-68, 2020, http://paper.ijcsns.org/07_book/202008/20200805.pdf.

[47] A. Sukumaran and A. Abraham, “Automated Detection and Classification of Meningioma Tumor from MR Images Using Sea Lion Optimization and Deep Learning Models,†Axioms, vol. 11, no. 1, p. 15, 2022, https://doi.org/10.3390/axioms11010015.

[48] B. Kumaraswamy, P. G. Poonacha, “Deep Convolutional Neural Network for musical genre classification via new Self Adaptive Sea Lion Optimization,†Applied Soft Computing, vol. 108, p. 107446, 2021, https://doi.org/10.1016/j.asoc.2021.107446.

[49] Z. N. Mahmood, H. Al-Khazraji, and S. M. Mahdi, “PID-Based Enhanced Flower Pollination Algorithm Controller for Drilling Process in a Composite Material,†Annales de Chimie - Science des Matériaux, vol. 47, no. 2, pp. 91-96, 2023, https://doi.org/10.18280/acsm.470205.

[50] H. Al-Khazraji, “Optimal Design of a Proportional-Derivative State Feedback Controller Based on Meta-Heuristic Optimization for a Quarter Car Suspension System,†Mathematical Modelling of Engineering Problems, vol. 9, no. 2, p. 437, 2022, https://doi.org/10.18280/mmep.090219.


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