A New Robust Output Feedback Variable Structure Controller for Uncertain More Affine Nonlinear Systems with Mismatched Uncertainties and Matched Disturbance
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In this note, a new robust nonlinear output feedback variable structure controller is first systematically and generally designed for the output control of more affine uncertain nonlinear systems with mismatched uncertainties and matched disturbance. A transformed integral output feedback sliding surface with a most simple form is applied in order to remove the reaching phase problems. The closed loop exponential stability and the existence condition of the sliding mode on the integral output feedback sliding surface is investigated with a corresponding output feedback control input in Theorem 1. For practical application the continuous implementation of the control input is made by the modified saturation function. The effectiveness of the proposed controller is verified through a design example and simulation study.
Abstract
In this note, a new robust nonlinear output feedback variable structure controller is first systematically and generally designed for the output control of more affine uncertain nonlinear systems with mismatched uncertainties and matched disturbance. A transformed integral output feedback sliding surface with a most simple form is applied in order to remove the reaching phase problems. The closed loop exponential stability and the existence condition of the sliding mode on the integral output feedback sliding surface is investigated with a corresponding output feedback control input in Theorem 1. For practical application the continuous implementation of the control input is made by the modified saturation function. The effectiveness of the proposed controller is verified through a design example and simulation study.
참고문헌 (33)
- M. Vidyasagar, "New Directions of Research in Nonlinear System Theory", Proc. of the IEEE, 74(8), pp.1060~1091 (1986)
- P Kokotovic, "Constructive Nonlinear Control: a Historical Perspective", Automatica, 37, pp.637~662 (2001)
- B. D. O. Anderson, "Optimal Control" (1990), Prentice-Hall
- I. Horowitz, "Survey of Quantitative Feedback Theory(QFT)", Int. J. Control, 53(2), pp.255~291 (1991)
- W. J. Rugh, "Research on Gain Scheduling", Automatica, 36, pp.1401~1425 (2000)
- X. Cai, "Robust stabilization for a class of Nonlinear Systems", IEEE CDC, pp.4840~4844 (2008)
- S. Gutman, "Uncertain dynamical Systems:A Lyapunov Min-Max Approach", IEEE Trans. Autom. Contr, AC-24(1), pp.437~443 (1979)
- L. R. Hunt, "Global Transformations of Nonlinear Systems", IEEE Trans. Autom. Contr, AC-28(1), pp.24~31 (1987)
- A Isidori, "Nonliear Control System" (1989), Springer-Verlag
- J. J. E. Slottine, "Applied Nonlinear Control" (1991), Prentice-Hall
- H. K. Khalil, "Nonlinear Systems" (1996), Prentice-Hall
- L. Lijun, "Robust Backstepping Design of a Nonlinear Output Feedbcak System", IEEE CDC 2008, pp.5095~5099
- K. S. Narendra, "Parameter Adaptive Control-the End...or the Beginning?", Proc. 33rd IEEE CDC (1994)
- Q. Zheng, "Lyapunov Redesign of Adpative Controllers for Polynomial Nonlinear systems", Proc. IEEE ACC 2009, pp.5144~5149
- V.I. Utkin, "Sliding Modes and Their Application in Variable Structure Systems" (1978)
- Decarlo, R.A., "Variable Structure Control of Nonlinear Multivariable Systems: A Tutorial", Proc. IEEE, 76, pp.212~232 (1988)
- Young, K.D., "A Control Engineer's Guide to Sliding Mode Control", 1996 IEEE Workshop on Variable Structure Systems, pp.1~14
- Drazenovic, B., "The invariance conditions in variable structure systems", Automatica, (5), pp.287~295 (1969)
- B. C. Toledo, "On Robust Regulation via sliding Mode for Nonlinear Systems", System & Control Letters, 24, pp.361~371 (1995)
- G. Bartolini, "On Multi-Input Sliding Mode Control of Uncertain Nonlinear Systems", Proc. IEEE 34th CDC, pp.2121~2124 (1995)
- X. Y. Lu, "Robust Sliding Mode Control of Uncertain Nonlinear System", System & control Letters, 32, pp.75~90 (1997)
- G. Bartolini, "Digital Second-Order sliding Mode Control for Uncertain Nonlinear Systems", Automatica, 37, pp.1371~1377 (2001)
- J. Adamy, "Soft Variable Structure Control:a survey", Automatica, 40, pp.1821~1844 (2004)
- Y. Wang, "Variable Structure Control for a Class of Nonlinear Systems with Mismatched Uncertainties", Applied Mathematics and Computation, pp.1~14 (2007)
- G. Y. Tang, "Optimal sliding Mode Control for Nonlinear System with Time Delay", Nonlinear Analysis: Hybrid Systems, 2, pp.891~899 (2008)
- Y. D. Pan, "Design of Variable Strucutre Control system with Nonlinear Time Varying sliding Sector", IEEE Trans. Autom. Contr, AC-54(8), pp.1981~1986 (2009)
- X. Hu, "Linear Reachability Versus Global Stabilization", IEEE Trans. Autom. Contr, AC-44(6), pp.1303~1305 (1999)
- Y. M. Sun, "Linear Controllability Versus Global Controllability", IEEE Trans. Autom. Contr, AC-54(7), pp.1693~1697 (2009)
- W. H. Chen, "Optimal Control of Nonlinear System:A Predictive Control Approach", Automatica, 39, pp.633~641 (2003)
- 이정훈, "A New Robust Variable Structure Controller for Uncertain Affine Nonlinear Systems with Mismatched Uncertainties", 전기학회논문지ABCD, 59(5), pp.945~949 (2010), 대한전기학회
- 이정훈, "A New Robust Integral Variable Structure Controller for Uncertain More Affine Nonlinear Systems with Mismatched Uncertainties", 전기학회논문지ABCD, 59(6), pp.1173~1178 (2010), 대한전기학회
- 이정훈, "A New Robust Variable Structure Controller with Nonlinear Integral-Type Sliding Surface for Uncertain Systems with Mismatched Uncertainties and Disturbance", 전기학회논문지ABCD, 59(3), pp.623~629 (2010), 대한전기학회
- 이정훈, "A Poof of Utkin's Theorem for the SI Uncertain Integral linear Case", 전기학회논문지, 60(4), pp.843~847 (2011), 대한전기학회