Abstract
The work present improved methods for stabilizing ball-plate system with different variant of sliding mode control (SMC) like classical SMC, SSMC, RENN-optimized SMC, and SSTSMC based on their level of robustness in the presence of bounded disturbances. In this research, double-feedback loop was used in controlling the system, where PID controller, tuned with wAFSA, was used for the inner loop, while the variant SMC was used for the outer loop control. The results from the variant SMCs were compared as regards performance (rise-time and steady-state error) and disturbance rejection in order to determine the best variant. Therefore, best variant was the smoothed super-twisting SMC (3.2462 s and 1.2244e-04%, respectively) and robust disturbance rejection ability. The work is based on simulation in MATLAB.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Hongrui W, Yantao T, Siyan F, Zhen S (2008) Nonlinear control for output regulation of ball and plate system. In: Control conference. 27th Chinese, 2008. CCC, pp 382–387
Duan H, Tian Y, Wang G (2009)Trajectory tracking control of ball and plate system based on auto-disturbance rejection controller. In: Asian control conference, 2009. ASCC 2009, pp 471–476
Dong X, Zhang Z, Chen C (2009) Applying genetic algorithm to on-line updated PID neural network controllers for ball and plate system. In: Innovative computing, information and control (ICICIC), 2009 fourth international conference on, 2009, pp 751–755
Ho M-T, Rizal Y, Chu L-M (2013) Visual servoing tracking control of a ball and plate system: design, implementation and experimental validation. Int J Adv Robot Syst 10
Dong X, Zhao Y, Xu Y, Zhang Z (2011) Design of PSO fuzzy neural network control for ball and plate system. Int J Innov Comput Inf Control 7:7091–7103
Sergio G-C, Marco M-A, Rubio JDJ, Ortíz-Rodriguez F, Yu W, Aguilar-Ibáñez C (2014) Dual PD control regulation with nonlinear compensation for a ball and plate system. Math Prob Eng 2014
Mukherjee R, Minor MA, Pukrushpan JT (2002) Motion planning for a spherical mobile robot: revisiting the classical ball-plate problem. J Dyn Syst Meas Contr 124:502–511
Oriolo G, Vendittelli M (2005) A framework for the stabilization of general nonholonomic systems with an application to the plate-ball mechanism. Robot IEEE Trans 21:162–175
Negash AH (2011)Design of fuzzy sliding mode controller for the ball and plate system. M.Sc, Electrical and Computer Engineering, Addis Ababa University, Addis Ababa
Roy P, Kar B, Hussain I (2015)Trajectory control of a ball in a ball and plate system using cascaded PD controllers tuned by PSO. In: Proceedings of fourth international conference on soft computing for problem solving, pp 53–65
Andinet N, Singh PN (2015) Position control and tracking of ball and plate system using fuzzy sliding mode controller. Afro-Euro Conf Ind Adv 2015:123–132
Morales L, Camacho O, Leica P, Chavez D (2017) Sliding-mode control based on a model reference applied to a non-linear ball and plate system with time delay. In: 2017 IEEE 3rd Colombian conference on automatic control (CCAC), 2017, pp 1–6
Yıldız HA, Gören-Sümer L (2017) Stabilizing of ball and plate system using an approximate model. IFAC-PapersOnLine 50:9601–9606
Suleiman HU, Mu’azu MB, Zarma TA, Salawudeen AT, Thomas S, Galadima AA (2013) Methods of chattering reduction in sliding mode control: a case study of ball and plate system. In: 2018 IEEE 7th international conference on adaptive science & technology (ICAST), pp 1–8
Bang H, Lee YS (2018) Implementation of a ball and plate control system using sliding mode control. IEEE Access 6:32401–32408
Huang W, Zhao Y, Ye Y, Xie W (2019) State feedback control for stabilization of the ball and plate system. In: 2019 Chinese control conference (CCC), pp 687–690
Suleiman HU, Muhammed B, Sikiru T, Umoh I, Salawudeen A (2017) Trajectory tracking control of ball on plate system using weighted artificial fish swarm algorithm based PID. In: Electro-technology for national development (NIGERCON), 2017 IEEE 3rd international conference, pp 554–561
HUMUSOFT (2012) Ball and plate apparatus. In: User’s manual, ed. Praque: HUMUSOFT, p 33
Chen C (1993) Analog and digital control system design: transfer-function. In: State-space, and algebraic methods. Saunders College, p 551
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Hussein, S.U., Mu’azu, M.B., Humble, S.T., Akachukwu, C.M., Ovie, E., Mustapha, U.M. (2023). Robust Stabilization of Ball-Plate System with Higher-Order SMC. In: Yang, XS., Sherratt, S., Dey, N., Joshi, A. (eds) Proceedings of Seventh International Congress on Information and Communication Technology. Lecture Notes in Networks and Systems, vol 464. Springer, Singapore. https://doi.org/10.1007/978-981-19-2394-4_60
Download citation
DOI: https://doi.org/10.1007/978-981-19-2394-4_60
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-19-2393-7
Online ISBN: 978-981-19-2394-4
eBook Packages: EngineeringEngineering (R0)