Sliding mode control with the reduced-order switching function: an SCB approach

References

• Bandyopadhyay, B., Abera, A.G., & Janardhanan, S. (2006). Sliding mode control design via reduced order model approach. In Proceedings of IEEE ICIT (pp. 1538–1541). Dec, Mumbai, India.
   Google Scholar
• Bandyopadhyay, B., & Fulwani, D. (2009). High performance tracking controller for discrete plant using nonlinear sliding surface. IEEE Transactions on Industrial Electronics, 56, 3628–3637.
   Web of Science ®Google Scholar
• Bandyopadhyay, B., Fulwani, D., & Kim, K.S. (2009). Sliding mode control with novel sliding surfaces. Berlin Heidelberg: Springer-Verlag.
   Google Scholar
• Berg, M.C. (1998). Introduction to a special coordinate basis for multivariable linear systems. IET, Control Theory and Applications, 145, 204–210.
   Web of Science ®Google Scholar
• Chen, B.M. (1998). On properties of the special coordinate basis of linear systems. International Journal of Control, 11, 981–1003.
   Web of Science ®Google Scholar
• Chen, B.M., & Zheng, D.Z. (1995). Simultaneous finite and infinite-zero assignments linear systems. Automatica, 31, 613–648.
   Google Scholar
• Decarlo, R.A., Zak, S.H., & Matthews, G.P. (1988). Variable structure control of nonlinear multivariable systems: A tutorial. Proceedings of the IEEE, 76(3), 212–232.
   Web of Science ®Google Scholar
• Edwards, C, & Spurgeon, S.K. (1998). Sliding mode control: Theory and applications. London: Taylor & Francis.
   Google Scholar
• Hung, J.Y., Gao, W., & Hung, J.C. (1993). Variable structure control: A survey. IEEE Transactions on Industrial Electronics, 40, 2–22.
   Web of Science ®Google Scholar
• Lan, W. (2008). Structural design of composite nonlinear feedback control for nonminimum phase linear systems with input saturation. In Proceedings of the 7th World Congress on Intelligent Control and Automation (pp. 1194–1199). Jun., Chongqing, China.
   Google Scholar
• Levant, A. (1998). Robust exact differentiation via sliding mode technique. Automatica, 34, 379–384.
   Web of Science ®Google Scholar
• Lin, Z., Pachter, M., & Banda, S. (1998). Towards improvement of tracking performance-nonlinear feedback for linear systems. International Journal of Control, 70, 1–11.
   Web of Science ®Google Scholar
• Liu, X., Chen, B.M., & Lin, Z. (2005). Linear systems toolkit in Matlab: Structural decompositions and their applications. Journal of Control Theory and Applications, 3, 287–294.
   Google Scholar
• Lukyanov, A.G., & Utkin, V.I. (1981). Methods of reducing equations for dynamic systems to a regular form. Automation and Remote Control, 42, 413–420.
   Web of Science ®Google Scholar
• Ozcetin, H., Saberi, A., & Sannuti, P. (1990). Special coordinate basis for order reduction of linear multivariable systems. International Journal of Control, 52, 191–226.
   Web of Science ®Google Scholar
• Patil, M., & Bandyopadhyay, B. (2013b). Discrete-time sliding mode tracking control for NMP systems using reduced order switching function. In Henson, Michael (Eds.), 10^th IFAC International Symposium on Dynamics and Control of Process Systems (pp. 469–474). Dec, Mumbai, India: IFAC.
   Google Scholar
• Patil, M., & Bandyopadhyay, B. (2013a). High performance sliding mode tracking control for nonminimum phase systems. In Witrant, Emmanuel (Eds.), 5th Symposium on System Structure and Control, Part of 2013 IFAC Joint Conference SSSC (pp. 96–101). Feb., Grnoble, France: IFAC.
   Google Scholar
• Paul, A.K., Mishra, J.K., & Radke, M.G. (1994). Reduced order sliding mode control for pneumatic actuator. IEEE Transactions on Control Systems Technology, 2, 271–276.
   Google Scholar
• Saberi, A., & Sannuti, P. (1988). Squaring down by static and dynamic compensators. IEEE Transactions on Automatic Control, 33, 358–365.
   Web of Science ®Google Scholar
• Saberi, A., & Sannuti, P. (1990). Squaring down of non-strictly proper systems. International Journal of Control, 51, 621–629.
   Web of Science ®Google Scholar
• Sannuti, P., & Saberi, A. (1986). Special coordinate basis of multivariable linear systems -Finite and infinite zero structure. In 25th IEEE Conference on Decision & Control (pp. 5579–5584). Dec. Athens, Greece.
   Google Scholar
• Sannuti, P., & Saberi, A. (1987). A special coordinate basis of multivariable linear systems -Finite and infinite zero structure, squaring down and decoupling. International Journal of Control, 45, 1655–1704.
   Web of Science ®Google Scholar
• Turner, M.C., Postlethwaite, I., & Walker, D.J. (2000). Nonlinear tracking control for multivariable constrained input linear systems. International Journal of Control, 13, 1160–1172.
   Web of Science ®Google Scholar
• Utkin, V.I. (1977). Variable structure systems with sliding modes. IEEE Transactions on Automatic Control, Ac-22, 212–222.
   Web of Science ®Google Scholar
• White, B.A. (1983). Reduced-order switching functions in variable-structure control systems. IET, Control Theory and Application, 130, 33–40).
   Web of Science ®Google Scholar