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

Chaouki Mnasri; Moncef Gasmi

doi:10.2478/v10006-011-0047-5

.blurhash-client-img { display: none !important; }

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

International Journal of Applied Mathematics and Computer Science

Volume 21 (2011): Issue 4 (December 2011)

By: Chaouki Mnasri and Moncef Gasmi

Open Access

|Dec 2011

Ackermann, J. and Utkin, V. I. (1998). Sliding mode control design based on Ackermann's formula, IEEE Transactions on Automatic Control 43(2): 234-237.10.1109/9.661072
Open DOI Search in Google Scholar
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.10.1137/1.9781611970777
Open DOI Search in Google Scholar
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): 1355-1360.10.1109/TAC.2004.832658
Open DOI Search in Google Scholar
Choi, H. H. (2001). Variable structure output feedback control design for a class of uncertain dynamic systems, Automatica 38(2): 335-341.10.1016/S0005-1098(01)00211-4
Open DOI Search in Google Scholar
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): 736-742.10.1109/TAC.2007.894543
Open DOI Search in Google Scholar
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): 212-232.10.1109/5.4400
Open DOI Search in Google Scholar
Ha, Q. P., Rye, D. C. and Durrant-Whyte, H. F. (1999). Robust sliding mode control with application, International Journal of Control 72(12): 1078-1096.10.1080/002071799220443
Open DOI Search in Google Scholar
Hung, J. Y., Gao, W. B. and Hung, J. C. (1993). Variable structure control: A survey, IEEE Transactions on Industrial Electronics 40(1): 2-22.10.1109/41.184817
Open DOI Search in Google Scholar
Kim, S., Park, Y. and Oh, S. H. (2000). Designing robust sliding hyperplanes for parametric uncertain systems: A Riccati approach, Automatica 36(7): 1041-1048.10.1016/S0005-1098(00)00014-5
Open DOI Search in Google Scholar
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.
Search in Google Scholar
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.
Search in Google Scholar
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.
Search in Google Scholar
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): 624-628.10.1016/S1004-4132(06)60107-2
Open DOI Search in Google Scholar
Utkin, V. I. (1992). Sliding Modes in Control and Optimization, Springer-Verlag, Berlin.10.1007/978-3-642-84379-2
Open DOI Search in Google Scholar
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.
Search in Google Scholar
Wang, L. X. (1997). A Course in Fuzzy Systems and Control, Prentice Hall, Englewood Cliffs, NJ.
Search in Google Scholar
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): 624-628.10.1109/TAC.2003.812815
Open DOI Search in Google Scholar