Discrete sliding mode control for robust tracking of time-delay systems

REFERENCES

• Boulkroune, A., & M'Saad, M. (2012). Fuzzy adaptive observer-based projective synchronization for nonlinear systems with input nonlinearity. Journal of Vibration and Control, 18(3), 437–450. doi: 10.1177/1077546311411228
   Web of Science ®Google Scholar
• Boulkroune, A., M'Saad, M., & Chekireb, H. (2010). Design of a fuzzy adaptive controller for MIMO nonlinear time-delay systems with unknown actuator nonlinearities and unknown control direction. Information Sciences, 180, 5041–5059. doi: 10.1016/j.ins.2010.08.034
   Web of Science ®Google Scholar
• Boulkroune, A., M'Saad, M., & Farza, M. (2011). Adaptive fuzzy controller for multivariable nonlinear state time-varying delay systems subject to input nonlinearities. Fuzzy Sets and Systems, 164, 45–65. doi: 10.1016/j.fss.2010.09.001
   Web of Science ®Google Scholar
• Camacho, O., Rojas, R., & Gabin, V. G. (2007). Some long time delay sliding mode control approaches. ISA Transactions, 46, 95–101. doi: 10.1016/j.isatra.2006.06.002
   Google Scholar
• Camacho, O., & Smith, C. A. (2000). Sliding mode control: An approach to regulate chemical processes. ISA Transactions, 39, 205–218. doi: 10.1016/S0019-0578(99)00043-9
   PubMed Web of Science ®Google Scholar
• Camacho, O., Smith, C. A., & Moreno, W. (2003). Development of an internal model sliding mode controller. Industrial Engineering Chemistry Research, 42, 568–573. doi: 10.1021/ie010481a
   Web of Science ®Google Scholar
• Chen, C.-T., & Peng, S.-T. (2005). Design of a sliding mode control system for chemical processes. Journal of Process Control, 15, 515–530. doi: 10.1016/j.jprocont.2004.11.001
   Web of Science ®Google Scholar
• Chen, M., Donghua Zhou, D., & Shang, Y. (2004). A simple time-delayed method to control chaotic systems. Chaos, Solitons & Fractals, 22, 1117–1125. doi: 10.1016/j.chaos.2004.03.021
   Web of Science ®Google Scholar
• Gao, W., Wang, Y., & Homaifa, A. (1995). Discrete-time variable structure control systems. IEEE Transactions on Industrial Electronics, 42(2), 117–122. doi: 10.1109/41.370376
   Web of Science ®Google Scholar
• Garcia, J. P. F., Silva, J. J. F., & Martins, E. S. (2005). Continuous-time and discrete-time sliding mode control accomplished using a computer. IEE Proceedings Control Theory and Applications, 152(2), 220–228. doi: 10.1049/ip-cta:20041129
   Google Scholar
• Golo, G., & Milosavljevi, C. (2000). Robust discrete-time chattering free sliding mode control. Systems and Control Letters, 41, 19–28. doi: 10.1016/S0167-6911(00)00033-5
   Web of Science ®Google Scholar
• Hu, J., Chu, J., & Su, H. (2000). SMVSC for a class of time-delay uncertain systems with mismatching uncertainties. IEE Proceedings Control Theory Applications, 147, 687–693. doi: 10.1049/ip-cta:20000802
   Google Scholar
• Khandekar, A. A., Malwatkar, G. M., Kumbhar, S. A., & Patre, B. M. (2012). Continuous and discrete sliding mode control for systems with parametric uncertainty using delay-ahead prediction. Twelfth IEEE Workshop on Variable Structure Systems, Mumbai, India.
   Google Scholar
• Khandekar, A. A., Malwatkar, G. M., & Patre, B. M. (2013). Discrete sliding mode control for robust tracking of higher order delay time systems with experimental application. ISA Transactions, 52(1), 36–44. doi: 10.1016/j.isatra.2012.09.002
   PubMed Web of Science ®Google Scholar
• Mihoub, M., Nouri, A. S., & Abdennour, R. B. (2009). Real-time application of discrete second order sliding mode control to a chemical reactor. Control Engineering Practice, 17, 1089–1095. doi: 10.1016/j.conengprac.2009.04.005
   Web of Science ®Google Scholar
• Milosavljevic, C. (1985). General conditions for the existence of a quasi-sliding mode on the switching hyperplane in discrete variable structure systems. Automation and Remote Control, 3, 36–44.
   Google Scholar
• Ogata, K. (2003). Discrete Time Control Systems (2nd ed.). New Jersey: Prentice Hall.
   Google Scholar
• Roh, Y. H., & Oh, J. H. (1999). Robust stabilization of uncertain input-delay systems by sliding mode control with delay compensation. Automatica, 35, 1861–1865. doi: 10.1016/S0005-1098(99)00106-5
   Web of Science ®Google Scholar
• Roh, Y. H., & Oh, J. H. (2000). Sliding mode control with uncertainty adaptation for uncertain input-delay systems. International Journal of Control, 73, 1255–1260. doi: 10.1080/002071700417894
   Web of Science ®Google Scholar
• Sira-Ramirez, H. (1991). Non-linear discrete variable structure systems in quasi-sliding mode. International Journal of Control, 54, 1171–1187. doi: 10.1080/00207179108934203
   Web of Science ®Google Scholar
• Utkin, V. I. (1992). Sliding Modes in Control and Optimization. Berlin: Springer.
   Google Scholar
• Wang, Q.-G., Lee, T.-H., Fung, H.-W., Qiang, B., & Zhang, Y. (1999) PID tuning for improved performance. IEEE Transactions on Control System Technology, 7(4), 457–465. doi: 10.1109/87.772161
   Web of Science ®Google Scholar
• Zhang, T. P., & Ge, S. S. (2007). Adaptive neural control of MIMO nonlinear state time-varying delay systems with unknown dead-zones and gain signs. Automatica, 43(6), 1021–1033. doi: 10.1016/j.automatica.2006.12.014
   Web of Science ®Google Scholar