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2011 | 21 | 4 | 605-615
Tytuł artykułu

LMI-based adaptive fuzzy integral sliding mode control of mismatched uncertain systems

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Integral sliding mode design is considered for a class of uncertain systems in the presence of mismatched uncertainties in both state and input matrices, as well as norm-bounded nonlinearities and external disturbances. A sufficient condition for the robust stability of the sliding manifold is derived by means of linear matrix inequalities. The initial existence of the sliding mode is guaranteed by the proposed control law. The improvement of the proposed control scheme performances, such as chattering elimination and estimation of norm bounds of uncertainties, is then considered with the application of an adaptive fuzzy integral sliding mode control law. The validity and efficiency of the proposed approaches are investigated through a sixth order uncertain mechanical system.
Rocznik
Tom
21
Numer
4
Strony
605-615
Opis fizyczny
Daty
wydano
2011
otrzymano
2010-06-01
poprawiono
2011-03-21
poprawiono
2011-06-11
Twórcy
  • Research Unit in Automatic Control and Industrial Computing, URAII, National Institute of Applied Sciences and Technology, INSAT, Carthage University, Zone urbaine Nord, BP 676, Tunis Cedex, 1080, Tunisia
autor
  • Research Unit in Automatic Control and Industrial Computing, URAII, National Institute of Applied Sciences and Technology, INSAT, Carthage University, Zone urbaine Nord, BP 676, Tunis Cedex, 1080, Tunisia
Bibliografia
  • Ackermann, J. and Utkin, V.I. (1998). Sliding mode control design based on Ackermann's formula, IEEE Transactions on Automatic Control 43(2): 234-237.
  • Boyd, S., Ghaoui, L.E., Feron, E. and Balakrishnan, V. (1994). Linear Matrix Inequalities in System and Control Theory, Society for Industrial and Applied Mathematics, Philadelphia, PA.
  • Cao, W.J. and Xu, J.X. (2004). Nonlinear integral-type sliding surface for both matched and unmatched uncertain systems, IEEE Transactions on Automatic Control 49(8): 1355-1360.
  • Choi, H.H. (2001). Variable structure output feedback control design for a class of uncertain dynamic systems, Automatica 38(2): 335-341.
  • Choi, H.H. (2007). LMI-based sliding surface design for integral sliding mode control of mismatched uncertain systems, IEEE Transactions on Automatic Control 52(4): 736-742.
  • Decarlo, R.A., Zak, S.H. and Matthews, G.P. (1988). Variable structure control of nonlinear multivariable systems: A tutorial, Proceeding of IEEE 76(3): 212-232.
  • Ha, Q.P., Rye, D.C. and Durrant-Whyte, H.F. (1999). Robust sliding mode control with application, International Journal of Control 72(12): 1078-1096.
  • Hung, J.Y., Gao, W.B. and Hung, J.C. (1993). Variable structure control: A survey, IEEE Transactions on Industrial Electronics 40(1): 2-22.
  • Kim, S., Park, Y. and Oh, S.H. (2000). Designing robust sliding hyperplanes for parametric uncertain systems: A Riccati approach, Automatica 36(7): 1041-1048.
  • Mnasri, C. and Gasmi, M. (2007a). Decentralized sliding mode control for linear interconnected systems, Proceedings of the 4th International Multi-Conference on Systems Signals and Devices, SSD 2007, Hammamet, Tunisia.
  • Mnasri, C. and Gasmi, M. (2007b). Robust decentralized sliding mode control for large scale uncertain systems, Proceedings of the 26th Chinese Control Conference, CCC 2007, Hunan, China, pp. 76-81.
  • Mnasri, C. and Gasmi, M. (2008). Adaptive fuzzy sliding mode model-reference control for mimo uncertain systems, International Review of Automatic Control, IREACO 01(2): 143-152.
  • Shaocheng, Q. and Yongji, W. (2006). Robust control of uncertain time delay system: A novel sliding mode control design via LMI, Journal of Systems Engineering and Electronics 17(3): 624-628.
  • Utkin, V.I. (1992). Sliding Modes in Control and Optimization, Springer-Verlag, Berlin.
  • Utkin, V.I. and Shi, J. (1996). Integral sliding mode in systems operating under uncertainty conditions, Proceedings of the 35th Conference on Decision and Control, Kobe, Japan, pp. 4591-4596.
  • Wang, L.X. (1997). A Course in Fuzzy Systems and Control, Prentice Hall, Englewood Cliffs, NJ.
  • Xia, Y. and Jia, Y. (2003). Robust sliding mode control design of uncertain time-delay systems: An LMI approach, IEEE Transactions on Automatic Control 48(6): 624-628.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv21i4p605bwm
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