Abstract
This paper has aimed to design fractional-order sliding mode controller (FO-SM) for time delayed MIMO system. The proposed controller has many uncertain parameters so we used adaptive particle swarm optimization method to determine the parameters. The controller provides faster tracking and more stable structure than the integer order. The selection of the controller parameters is important for control performance so intelligent optimization can provide optimal control parameters. Simulation results show that FO-SM controller has robust control performance through change of time delay.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Namuduri, C., Sen, P.C.: A servo-control system using a self-controlled synchronous motor (SCSM) with sliding mode controller. IEEE Trans. Ind. Appl. IA-23, 283–295 (1987)
Yoo, B., Ham, W.: Adaptive fuzzy sliding mode control of nonlinear system. IEEE Trans. Fuzzy Syst. 6, 315–321 (1998)
Huang, Y., Kuo, T., Chang, S.: Adaptive sliding-mode control for nonlinear systems with uncertain parameters. IEEE Trans. Syst. 38, 534–539 (2008)
Li, H., Yu, J., Hilton, C., Liu, H.: Adaptive sliding-mode control for nonlinear active suspension vehicle systems using T-S fuzzy approach. IEEE Trans. Ind. 60, 3328–3338 (2013)
Huang, J., Li, H., Chen, Y., Xu, Q.: Robust position control of PMSM using fractional-order sliding mode controller. Abstr. Appl. Anal. 2012, 1–33 (2012)
Cao, D., Fei, J.: Adaptive fractional fuzzy sliding mode control for three-phase active power filter. IEEE Access. 4, 6645–6651 (2016)
Delavari, H., Ghaderi, R., Ranjbar, A., Momani, S.: Fuzzy fractional order sliding mode controller for nonlinear systems. Commun. Nonlinear Sci. Numer. Simul. 15, 963–978 (2010)
Djeghali, N., Djennoune, S., Bettayeb, M., Ghanes, M., Barbot, J.-P.: Observation and sliding mode observer for nonlinear fractional-order system with unknown input. ISA Trans. 63, 1–10 (2016)
Podlubny, I.: Fractional-order systems and PI/sup/spl lambda//D/sup/spl mu//-controllers. IEEE Trans. Automat. Control. 44, 208–214 (1999)
Yin, C., Chen, Y., Zhong, S.: Fractional-order sliding mode based extremum seeking control of a class of nonlinear systems. Automatica 50, 3173–3181 (2014)
Cao, J.-Y., Cao, B.-G.: Design of fractional order controller based on particle swarm optimization. In: 2006 1st IEEE Conference on Industrial Electronics and Applications, pp. 775–781. IEEE Press, Singapore (2006)
Zamani, M., Karimi-Ghartemani, M., Sadati, N., Parniani, M.: Design of a fractional order PID controller for an AVR using particle swarm optimization. Control Eng. Pract. 17, 1380–1387 (2009)
Cao, J., Liang, J., Cao, B.: Optimization of fractional order PID controllers based on genetic algorithms. In: 2005 International Conference on Machine Learning and Cybernetics, pp. 775–781. IEEE Press, Guangzhou (2005)
Qiao, F., Zhu, Q., Winfield, A.F., Melhuish, C.: Adaptive sliding mode control for MIMO nonlinear systems based on fuzzy logic scheme. Int. J. Autom. Comput. 1, 51–62 (2004)
Kamaleddin, S., Nikravesh, Y.: Nonlinear Systems Stability Analysis: Lyapunov-Based Approach. CRC Press, Florida (2013)
Kuo, C.: Design of a fuzzy sliding-mode synchronization controller for two different chaos systems. Comput. Math Appl. 61, 2090–2095 (2011)
Kuo, C.: Design of an adaptive fuzzy sliding-mode controller for chaos synchronization. Int. J. Nonlinear Sci. 8, 631–636 (2007)
Miller, S.M., Bertram, R.: An Introduction to the Fractional Calculus and Fractional Differential Equations. Wiley, USA (1993)
Oustaloup, A., Levron, F., Mathieu, B., Nanot, F.M.: Frequency-band complex noninteger differentiator: characterization and synthesis. IEEE Trans. Circuits Syst. I Fundam. Theory Appl. 47, 25–39 (2000)
Kennedy, J., Eberhart, R.: Particle swarm optimization. In: Proceedings of ICNN 1995 - International Conference on Neural Networks, pp. 1942–1948. IEEE Press, Perth (1995)
Shi, Y., Eberhart, R.: A modified particle swarm optimizer. In: IEEE World Congress on Computational Intelligence, pp. 69–73, IEEE Press, Anchorage (1998)
Zhan, Z.-H., Li, Y., Chung, H.S.-H.: Adaptive particle swarm optimization. IEEE Trans. Syst. Man Cybern. Part B 39, 1362–1381 (2009)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this paper
Cite this paper
Atan, O. (2018). Fractional Order Sliding Mode Control System Design for Nonlinear MIMO Systems with Time-Varying Delay. In: Mazal, J. (eds) Modelling and Simulation for Autonomous Systems. MESAS 2017. Lecture Notes in Computer Science(), vol 10756. Springer, Cham. https://doi.org/10.1007/978-3-319-76072-8_12
Download citation
DOI: https://doi.org/10.1007/978-3-319-76072-8_12
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-76071-1
Online ISBN: 978-3-319-76072-8
eBook Packages: Computer ScienceComputer Science (R0)