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Improved fuzzy feedback linearization and Sinswat-transformation control of inverted pendulum

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EN
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EN
This paper studies the output tracking and almost disturbance decoupling problem of nonlinear control systems with uncertainties via fuzzy logic control and feedback linearization approach. The main contribution of this study is to construct a controller, under appropriate conditions, such that the resulting closed-loop system enjoys for any initial condition and bounded tracking signal the following characteristics: input-to-state stability with respect to disturbance inputs and almost disturbance decoupling, i.e., the influence of disturbances on the L2 norm of the output tracking error can be arbitrarily attenuated by increasing some adjustable parameters. The underlying theoretical approaches are the differential geometry approach and the composite Lyapunov approach. One example, which cannot be solved by the approach from the first paper (Marino et al., 1989) on the almost disturbance decoupling problem, is proposed in this paper to exploit the fact that the almost disturbance decoupling and the convergence rate performances are easily achieved by virtue of our approach. In order to demonstrate the practical applicability, the paper takes up the study of an inverted pendulum control system.
Rocznik
Strony
1069--1093
Opis fizyczny
Bibliogr. 38 poz., rys., wykr.
Twórcy
autor
autor
autor
autor
  • Department of Electronic Engineering, Wufeng Institute of Technology, 117, Sec., Chian-Kuo Road, Ming-Hsiung, Chiayi 621, Taiwan 640, R.O.C.
Bibliografia
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  • FLOARES, A.G. (2006) Computation Intelligence tools for modeling and controlling pharmacogenomic systems: Genetic programming and neural networks. Proc. Int. Joint Conference on Neural Networks, Canada, July 16-21, 3820-3827.
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  • HAHN, H., ZHANG, X., LEIMBACH, K.D. and SOMMER H.J. (1992) Nonlinear control of a planar multi-axis servo-hydraulic test-facility. Proc. of the 2nd IFAC Workshop on System Structure and Control, Prague, 208-211.
  • HAHN, H., ZHANG, X., LEIMBACH, K.D. and SOMMER, H.J. (1994) Nonlinear control of a planar multiaxis servohydraulic test facility using exact linearization techniques. Kybernetika 30 (5), 477-488.
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  • JOO, S.J. and SEO, J.H. (1997) Design and analysis of the nonlinear feedback linearizing control for an electromagnetic suspension system. IEEE Trans. Automat. Contr. 5 (1), 135-144.
  • KAWAMOTO, S., TADA, K., ISHIGAME, A. and TANIGUCHI, T. (1992) An approach to stability analysis of second order fuzzy systems. The IEEE International Conference on Fuzzy Systems, 1427-1434.
  • KHALIL, H.K. (1996) Nonlinear Systems. Prentice-Hall, New Jersey.
  • KHORASANI, K. and KOKOTOVIC, P.V. (1986) A corrective feedback design for nonlinear systems with fast actuators. IEEE Trans. Automat. Contr. 31, 67-69.
  • LAM, H.K., LEUNG, F.H.F. and TAM, P.K.S. (2002) Fuzzy state feedback controller for nonlinear systems: Stability analysis and design. The IEEE International Conference on Fuzzy Systems, 2, 677-681.
  • LEE, S.Y., LEE, J.I. and HA, I.J. (1997) A new approach to nonlinear autopilot design for bank-to-turn missiles. Proceedings of the 36th Conference on Decision and Control, San Diego, California, December, 4192-4197.
  • MAMDANI, E.H. and ASSILIAN, S. (1975) An experiment in linguistic synthesis with a fuzzy logic controller. International Journal of Man-Machine Studies 7 (I), 1-13.
  • MARINO, R. and KOKOTOVIC, P.V. (1988) A geometric approach to nonlinear singularly perturbed systems. Automatica 24, 31-41.
  • MARINO, R., RESPONDEK, W. and VAN DER SCHAFT, A.J. (1989) Almost disturbance decoupling for single-input single-output nonlinear systems. IEEE Trans. Automat. Contr. 34 (9), 1013-1017.
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  • TANAKA, K., HORI T. and WANG, H.O. (2003) A multiple Lyapunov function approach to stabilization of fuzzy control systems. IEEE Transactions on Fuzzy Systems 11 (4), 582-589.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0060-0015
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