Sliding sector control using new equivalent sector control

References

• Åkesson, J., & Åström, K. J. (2005). Manual control and stabilization of an inverted pendulum. IFAC Proceedings Volumes, 38(1), 1124–1129. doi: 10.3182/20050703-6-CZ-1902.00844
   Google Scholar
• Andrievsky, B. R., Fradkov, A. L., & Stotsky, A. A. (1996). Shunt compensation for indirect sliding-mode adaptive control. IFAC 13th triennial world congress, USA (pp. 193–197).
   Google Scholar
• Åström, K. J., & Furuta, K. (1996). Swinging-up a pendulum by energy control. IFAC congress, E, San Francisco, USA (pp. 37–42).
   Google Scholar
• Åström, K. J., & Furuta, K. (2000). Swinging up a pendulum by energy control. Automatica, 36(2), 287–295. doi: 10.1016/S0005-1098(99)00140-5
   Web of Science ®Google Scholar
• Åström, K. J., Iwase, M., & Furuta, K. (2006). Safe manual control of pendulums – a human adaptive mechatronics perspective. International Journal of Assistive Robotics and Mechatronics, 7(1), 3–11.
   Google Scholar
• Barmish, B. R. (1983). Stabilization of uncertain systems via linear control. IEEE Transactions on Automatic Control, 28, 848–850. doi: 10.1109/TAC.1983.1103324
   Web of Science ®Google Scholar
• Barmish, B. R., Corless, M., & Leitmann, G. (1983). A new class of stabilizing controllers for uncertain dynamical systems. SIAM Journal on Control and Optimization, 21, 246–255. doi: 10.1137/0321014
   Web of Science ®Google Scholar
• Bartolini, G., Pisano, A., & Usai, E. (1998). Digital second order sliding mode control of SISO uncertain nonlinear systems. Proceedings of the American control conference (pp. 119–124). Philadelphia, PA.
   Google Scholar
• Blajer, W. (1992). A projection method approach to constrained dynamic analysis. Journal of Applied Mechanics, 59, 643–649. doi: 10.1115/1.2893772
   Web of Science ®Google Scholar
• Cimen, T. (2008). State dependent Riccati equation (SDRE) control: A survey. Proc. of the 17th IFAC World Congress, Seoul, Korea (pp. 3761–3775).
   Google Scholar
• Corless, M. (1994). Robust stability analysis and controller design with quadratic Lyapunov functions. In A. S. I. Zenober (Ed.), Lecture notes in control and information sciences: Vol. 193. Variable structure and Lyapunov control (pp. 181–203). Berlin: Springer.
   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, 212–232. doi: 10.1109/5.4400
   Web of Science ®Google Scholar
• Elmali, H., & Olgac, N. (1992). Robust output tracking control of nonlinear MIMO systems via sliding mode technique. Automatica, 28, 145–151. doi: 10.1016/0005-1098(92)90014-7
   Web of Science ®Google Scholar
• Fradkov, A., & Andrievsky, B. (2005). Combined adaptive controller for UAV guidance. European Journal of Control, 11, 71–79. doi: 10.3166/ejc.11.71-79
   Web of Science ®Google Scholar
• Furtat, I., Orlov, Y., & Fradkov, A. (2019). Finite-time sliding mode stabilization using dirty differentiation and disturbance compensation. International Journal of Robust and Nonlinear Control, 29(3), 793–809. doi: 10.1002/rnc.4273
   Web of Science ®Google Scholar
• Furuta, K. (1990). Sliding mode control of a discrete system. Systems & Control Letters, 14, 145–152. doi: 10.1016/0167-6911(90)90030-X
   Web of Science ®Google Scholar
• Furuta, K., & Pan, Y. (1994). Discrete-time VSS control for continuous system. First Asian control conference (pp. 377–380). Tokyo.
   Google Scholar
• Furuta, K., & Pan, Y. (1995). A new approach to design a sliding sector for VSS controller. Proceedings of the American control conference (pp. 1304–1308). Seattle.
   Google Scholar
• Furuta, K., & Pan, Y. (1999). Variable structure control of continuous-time system with sliding sector. IFAC 99 world congress, Beijing, China.
   Google Scholar
• Furuta, K., & Pan, Y. (2000). Variable structure control with sliding sector. Automatica, 36(2), 211–228. doi: 10.1016/S0005-1098(99)00116-8
   Web of Science ®Google Scholar
• Furuta, K., Yamakita, M., & Kobayashi, S. (1992). Swing-up control of inverted pendulum using pseudo-state feedback. Proceedings of the Institution of Mechanical Engineers, 206, 2693–2696.
   Google Scholar
• Furuta, K., Yamakita, M., Kobayashi, S., & Nishimura, M. (1991). A new inverted pendulum apparatus for education. Advances in control education, Proc. IFAC symp. control education, Boston, MA (pp. 191–196).
   Google Scholar
• Hara, M., Furuta, K., Pan, Y., & Hoshino, T. (1998). Evaluation of discrete-time VSC on inverted pendulum apparatus with additional dynamics. International Journal of Applied Mathematics and Computer Science, 7, 101–123.
   Google Scholar
• Hung, J. Y., Gao, W., & Hung, J. C. (1993). Variable structure control: A survey. IEEE Transactions on Industrial Electronics, 40, 2–22. doi: 10.1109/41.184817
   Web of Science ®Google Scholar
• Izutsu, M., Pan, Y., & Furuta, K. (2008). Swing-up of furuta pendulum by nonlinear sliding mode control. SICE Journal of Control, Measurement, and System Integration, 1, 12–17. doi: 10.9746/jcmsi.1.12
   Google Scholar
• Kachroo, P., & Tomizuka, M (1996). Chattering reduction and error convergence in the sliding-mode control of a class of nonlinear systems. IEEE Transactions on Automatic Control, AC-41, 1063–1068. doi: 10.1109/9.508917
   Web of Science ®Google Scholar
• Levant, A. (1993). Sliding order and sliding accuracy in sliding mode control. International Journal of Control, 58, 1247–1263. doi: 10.1080/00207179308923053
   Web of Science ®Google Scholar
• Okabayashi, R., & Furuta, K. (1996). Stabilization of unstable systems using hysteresis-type VSS controller. IFAC96 world congress (pp. 271–277). San Francisco.
   Google Scholar
• Pan, Y., & Furuta, K. (1997). Discrete-time VSS controller design. International Journal of Robust and Nonlinear Control, 7, 373–386. doi: 10.1002/(SICI)1099-1239(199704)7:4<373::AID-RNC282>3.0.CO;2-3
   Web of Science ®Google Scholar
• Slotine, J. J. E., & Li, W (1991). Applied nonlinear control. Englewood Cliffs, NJ: Prentice-Hall.
   Google Scholar
• Utkin, V. I. (1992). Sliding modes in control and optimization. Berlin: Springer-Verlag.
   Google Scholar
• Utkin, V. I (1964). Variable structure system with sliding mode: A survey. IEEE Transactions on Automatic Control, AC-22, 212–222.
   Google Scholar
• Zinober, A. S. I. (1990). Deterministic control of uncertain systems. London: Peter Peregrinus Ltd.
   Google Scholar