Abstract

This paper presents a principle for the design of a sliding mode controller. Sliding Mode is based on Reaching law includes reaching phase and sliding phase. This controller can be implemented on a nonlinear plant to make it work as a slightly linear plant. This is done by using implementing the equations of controller into the Simulink model to obtain the controlled output.

References

• H. Ashrafiuona, R.S. Erwinb, “Sliding Mode Control Of Underactuated Multibody Systems And Its Application To Shape Change Control”, Int. J. Control. 81 (12) (2008) 1849-1858.
• Rong Xu, Umit Ozguner, “Sliding Mode Control Of A Class Of Underactuated Systems”, Automatica 44(2008) 233-248.
• V. Utkin, J. Guldner, S. Jingxin, “Sliding Mode Control In Electromechanical Systems”. Vol 34. Crc Press, 2009.
• R. Venkataramanan, “Sliding Mode Control Of Power Converters” Phd. Diss., California Institute Of Technology, 1986.
• F. Ahmad, A. Rasool, E.E. Ozosoy, A. Sabanovic, M. Elitas, “Design Of A Robust Cascaded Controller For Cuk Converters” IEEE International Power Electronics And Motion Control Conf. (Pemc), Pp. 80-85, 2016.
• S.C. Tan, Y.M. Lai, C.K. Tse, M.K. Cheung, “A Fixed-Frequency Pulse Width Modulation Based Quasi-Sliding-Mode- Controller For Buck Converters”, IEEE Trans. On Power Elect. Vol. 20, No. 3 Pp. 1379-1392, Nov. 2005.
• K.K. Leung, H.S. Chung, “Dynamic Hysteresis Band Control Of The Buck Converter With Fast Transient Response, IEEE Trans.On Circuits And Systems Ii: Express Briefs, Vol.52, No. 7, Pp.398-402, July 2005.
• R. Guzman, L. G. De Vicuna, J. Morales, M. Castilla And J. Matas, “Sliding Mode Control For A Three Phase Unity Power Factor Rectifier Operating At Fixed Switching Frequency”, IEEE Trans. Power Electron., Vol.31, No. 1, Pp. 758-769, Jan. 2016.
• W. Gao, Y. Wang, And A. Homaifa, “Discrete Time Variable Structure Control Systems”, IEEE Trans. Ind. Electron., Vol. 42 No. 2, Pp 117-122, Apr. 1995.
• A. Bartoszewicz, “Discrete Time Quasi Sliding Mode Control Strategies”, IEEE Trans Ind. Electron., Vol. 45, No. 4, Pp. 633-637, Aug. 1998.
• J. Zhang, G. Feng, Y. Xia. “Design Of Estimator-Based Sliding-Mode-Output Feedback Controller For Discrete Time Systems”, IEEE Trans. Ind. Electron., Vol. 61, No. 5, Pp. 2432-2440, May 2014.
• L. Zhao, J. Huang, H. Liu, B. Li, W. Kong, “Second Order Sliding Mode Observer With Online Parameter Indentification For Sensorless Induction Motor Drives”, IEEE Trans. Ind. Electron., Vol. 61, No. 10, Pp. 5280-5289, Oct. 2014.
• S. Di Gennaro, J. Rivera Dominguez, M. Meza, “Sensorless High Order Sliding Mode Control Of Induction Motors With Core Loss”, IEEE Trans. Ind. Electron., Vol. 61, Pp. 2678-2689, Jun. 2014.
• M.T. Angulo And R. V. Carrillo Serrano, “Estimating Rotor Parameters In Induction Motors Using High Order Sliding Mode Algorithms”, Iet Control Theory Appl., Vol. 9, No. 4, Pp. 573-578, 2015.
• D. Traore, F. Plestan, A. Glumineau, J. De Leon, “Sensorless Induction Motor: High Order Sliding Mode Controller And Adaptive Interconnected Observer”, IEEE Trans. Ind. Electron., Vol. 55, No. 11, Pp. 3818-3827, Nov. 2008.
• M. Rashed , K.B. Goh, M.W. Dunnigan, P.F. A. Macconnel, A.F. Stronach, B.W. Williams, “Sensorless Second Order Sliding Mode Speed Control Of A Voltage Fed Induction Motor Drive Using Nonlinear State Feedback”, Iee Proc. On Elect. Pow. Appl., Vol. 152, No. 5, Pp. 1127-1136, Sept. 2005.
• A. Pisano, A. Davila, L. Fridman, E. Usai, “Cascade Control Of Pm Dc Drives Via Second Order Sliding Mode Technique”, IEEE Trans. Ind. Electron., Vol. 55, No. 11, Pp. 3846-3854, Nov. 2008.
• V. Utkin, J. Guldner, and J. X. Shi, Sliding Mode Control in Electromechanical Systems. London, UK: Taylor and Francis, 1999.
• H.W.Whittington,B.W.Flynn, andD.E.Macpherson,Switched Mode Power Supplies: Design and Construction, 2nd ed. New York: Wiley, 1997
• W. Gao, Y. Wang, and A. Homaifa, “Discrete-time variable structure control systems,” IEEE Trans. Ind. Electron., vol. 42, no. 2, pp. 117–122, Apr. 1995.
• A. Bartoszewicz, “Discrete-time quasi-sliding-mode control strategies,” IEEE Trans. Ind. Electron., vol. 45, no. 4, pp. 633–637, Aug. 1998.
• J. Hu, Z. Wang, H. Gao, and L. K. Stergioulas, “Robust sliding mode control for discrete stochastic systems with mixed time delays, randomly occurring uncertainties, and randomly occurring nonlinearities,” IEEE Trans. Ind. Electron., vol. 59, no. 7, pp. 3008–3015, Jul. 2012.
• Y. Xia, G. Liu, P. Shi, J. Chen, D. Rees, and J. Liang, “Sliding mode control of uncertain linear discrete time systems with input delay,” IET Control Theory Appl., vol. 1, no. 4, pp. 1169–1175, Jul. 2007.
• Y. Niu, D. W. C. Ho, and Z. Wang, “Improved sliding mode control for discrete-timesystemsviareachinglaw,”IETControlTheoryAppl.,vol.4, no. 11, pp. 2245–2251, Nov. 2010.
• Y. Xia, M. Fu, P. Shi, and M. Wang, “Robust sliding mode control for uncertain discrete-time systems with time delay,” IET Control Theory Appl., vol. 4, no. 4, pp. 613–624, Apr. 2010.
• J.Zhang,J.Lam,andY.Xia,“Outputfeedbackslidingmodecontrolunder networked environment,” Int. J. Syst. Sci., vol. 44, no. 4, pp. 750–759, Apr. 2013.
• Y.NiuandD.W.C.Ho,“Designofslidingmodecontrolsubjecttopacket losses,” IEEE Trans. Autom. Control, vol. 55, no. 11, pp. 2623–2628, Nov. 2010.
• C. Edwards and S. K. Spurgeon, Sliding Mode Control: Theory and Applications. New York, NY, USA: Taylor and Francis, 1998.
• H. H. Choi, “Sliding-mode output feedback control design,” IEEE Trans. Ind. Electron., vol. 55, no. 11, pp. 4047–4054, Nov. 2008.
• A. Seuret, C. Edwards, S. K. Spurgeon, and E. Fridman, “Static output feedback sliding mode control design via an artificial stabilizing delay,” IEEE Trans. Autom. Control, vol. 54, no. 2, pp. 256–265, Feb. 2009.
• J. Zhang, P. Shi, and Y. Xia, “Robust adaptive sliding mode control for fuzzy systems with mismatched uncertainties,” IEEE Trans. Fuzzy Syst., vol. 18, no. 4, pp. 700–711, Aug. 2010.
• J. Zhang and Y. Xia, “Design of static output feedback sliding mode control for uncertain linear systems,” IEEE Trans. Ind. Electron., vol. 57, no. 6, pp. 2161–2170, Jun. 2010.