PERFORMANCE EVALUATION OF THE QUASI SLIDING-BASED  SLIDING MODE CONTROL IN THE MASS SPRING DAMPER SYSTEM

Phạm Thanh Tùng; Nguyễn Chí Ngôn

doi:10.34238/tnu-jst.4527

PERFORMANCE EVALUATION OF THE QUASI SLIDING-BASED SLIDING MODE CONTROL IN THE MASS SPRING DAMPER SYSTEM

About this article

Received: 20/05/21 Revised: 14/07/21 Published: 21/07/21

Authors

1. Pham Thanh Tung , Vinh Long University of Technology and Education
2. Nguyen Chi Ngon, Can Tho University

Abstract

Sliding mode control (SMC) is an effective control method with the robust stability, quickly response even under conditions of disturbance and changing of object’s parameters. However, the discontinuity of the signum function in the SMC law can cause the chattering in the control signal. Improving quality of the SMC has been interested and published by many researchers. However, the overall evaluation of the SMC's effectiveness and comparison with other modern control techniques is still limited. This paper presents testing results of the Quasi-sliding mode – based SMC and compares the effectiveness of that method with the back-stepping controller, multi-objective genetic algorithm tuned PID and traditional PID. That testing method is applied to control the position of the mass spring damper system. The simulation results in MATLAB/Simulink show that the testing method is efficient. The quality indicators achieved by the Quasi-sliding mode – based SMC are better than other control techniques. The position response of the mass spring damper system in simulation model converges to reach the reference without overshoot, the setting time is about 0.26 (s), and the steady-state error is eliminated.

Keywords

Sliding mode control; Chattering; Mass spring damper; Quasi – sliding mode; MATLAB/Simulink

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References

[1] G. Debbache and N. Goléo, “Neural network based adaptive sliding mode control of uncertain nonlinear systems,” Journal of Systems Engineering and Electronics, vol. 23, no. 1, pp. 119-128, 2012.

[2] Aghabalaei Baghaei, Keyvan and Ghaffarzadeh, Hosein and Hadigheh, S.Ali and Dias-da-Costa, D., “Chattering-Free Sliding Mode Control with a Fuzzy Model for Structural Applications,” Structural Engineering and Mechanics, vol. 69, pp. 307 - 315, 2019.

[3] J.-L. Chang, “On Chattering-Free Dynamic Sliding Mode Controller Design,” Journal of Control Science and Engineering, vol. 2012, pp. 1-8, 2012.

[4] F. E. Hoyos, A. Rincón, J. A. Taborda, N. Toro, and F. Angulo, “Adaptive Quasi-Sliding Mode Control for Permanent Magnet DC Motor,” Journal of Control Science and Engineering, vol. 2013, , pp. 1-13, 2013, Art. no. 693685.

[5] A. A. Okubanjo, O. K. Oyetola, O. O. Ade-Ikuesan, O. O. Olaluwoye, and P. O. Alao, “Performance Evaluation of PD and LQR Controller for Coupled Mass Spring Damper System,” Futo Journal Series (FUTOJNLS), vol. 4, no. 1, pp. 199-210, 2018.

[6] M. F. Badr, E. H. Karam, and N. M. Mjeed, “Control design of damper mass spring system based on backstepping controller scheme,” International Review of Applied Sciences and Engineering, vol. 11, pp. 1-8, 2020.

[7] J. M. Cruz-Duarte, J. J. Rosales-García, and C. R. Correa-Cely, “Entropy Generation in a Mass-Spring-Damper System Using a Conformable Model,” Symmetry, vol. 12, no. 3, pp. 1-11, 2020.

[8] P. S. Contreras Ortiz, B. R. N. Dutan, L. G. T. Jaramillo, R. S. Ávila-Campoverde, M. A. C. Aleman, J. C. Montesdeoca-Contreras, and J. A. Morales-Garcia, “Linearization of Mass Spring Damper System for Applying Linear Control PID Techniques,” IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC), pp. 1-5, 2014, doi: 10.1109/ROPEC.2014.7036300.

[9] S. Armaghan, A. Moridi, and A. K. Sedigh, “Design of a Switching PID Controller for a Magnetically Actuated Mass Spring Damper,” Proceedings of the World Congress on Engineering, vol. III, pp. 1-4, 2011.

[10] S. K. Valluru and M. Singh, “Metaheuristic Tuning of Linear and Nonlinear PID Controllers to Nonlinear Mass Spring Damper System,” International Journal of Applied Engineering Research, vol. 12, no. 10, pp. 2320-2328, 2017.

[11] K. Ravindra, K. Yogesh, and G. Ankit, “Comparative Analysis of P, PI, PD, PID Controller for Mass Spring Damper System using Matlab Simulink,” International Journal for Research in Engineering Application & Management (IJREAM), Special Issue – ICRTET, pp. 668-672, 2018.

[12] J. Liu, Sliding mode control using MATLAB. Elsevier Inc, 2017.

[13] H. N. Duong, Multivariable system control. Publishing House of Vietnam National University Ho Chi Minh City, 2011.

[14] E. K. Orhorhoro, M. E. Onogbotsere, and A. E. Ikpe, “Simulation of a mass spring damper model in phase variable,” ELK Asia Pacific Journal of Mechanical Engineering Research, vol. 2, no. 2, pp. 1-16, 2016.

DOI: https://doi.org/10.34238/tnu-jst.4527

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