×

Chattering-free fuzzy sliding mode control in MIMO uncertain systems. (English) Zbl 1167.93362

Summary: Control of nonlinear multivariable systems is very challenging in the area of systems and control. This paper is concerned with a framework that unifies sliding mode control (SMC) and fuzzy logic control (FLC). Based on the combination of the SMC with fuzzy control, this paper presents a new and feasible design algorithm to synthesize a robust fuzzy sliding mode controller which can easily tackle the stabilizing and tracking problem of a class of MIMO nonlinear systems in the presence of uncertainties and external disturbance. A practical design that combines a fuzzy technique with SMC to enhance robustness and sliding performance in a class of uncertain MIMO nonlinear systems is proposed. Using a fuzzy scheme, a Fuzzy Sliding Mode Controller (FSMC) is used to approximate the hitting control in the neighborhood of the sliding manifold. The main contribution of the proposed method is that the structure of the controlled system is partially unknown and does not require the bounds of uncertainty and disturbance of the system to be known; meanwhile, the chattering phenomenon that frequently appears in the conventional variable structure systems is also eliminated without deteriorating the system robustness. A series of computer simulations are included to verify the effectiveness of the proposed design algorithm.

MSC:

93C40 Adaptive control/observation systems
93C42 Fuzzy control/observation systems
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Emelyanov, S.V., Variable structure control systems, (1967), Nauka Moscow · Zbl 0217.58102
[2] Utkin, V.I., Sliding modes and their applications in variable structure systems, (1974), Nauka Moscow
[3] Itkis, U., Control systems of variable structure systems, (1976), Wiley New York
[4] Hung, J.Y.; Gao, W.B.; Hung, J.C., Variable structure control: A survey, IEEE trans. ind. electron., 40, 2-22, (1993)
[5] Utkin, V.I., Variable structure systems with sliding modes, IEEE trans. automat. control, AC-22, 212-222, (1977) · Zbl 0382.93036
[6] Ha, Q.P.; Rye, D.C.; Durrant-Whyte, H.F., Robust sliding mode control with application, Internat. J. control, 72, 1087-1096, (1999) · Zbl 0942.93006
[7] Roopaei, M.; Zolghadri Jahromi, M., Synchronization of a class of chaotic systems with fully unknown parameters using adaptive sliding mode approach, Chaos, 18, 043112, (2008) · Zbl 1309.34076
[8] Young, K.D.; Utkin, V.I.; Ozguner, U., A control engineer’s guide to sliding mode control, IEEE trans. control syst. technol., 7, 3, (1999)
[9] Hung, J.Y.; Gao, W.; Hung, J.-C., Variable structure control: A survey, IEEE trans. ind. electron., 40, 2-22, (1993)
[10] Khalil, H.K., Nonlinear systems, (1996), Prentice Hall Englewood Cliffs, NJ · Zbl 0626.34052
[11] Chern, T.L.; Wu, Y.C., Design of brushless DC position servo systems using integral variable structure approach, IEE proc., electr. power appl., 140, 27-34, (1993)
[12] Slotine, J.E.; Li, W., Applied nonlinear control, (1991), Prentice-Hall New Jersey · Zbl 0753.93036
[13] Ishingame, A.; Furukawa, T.; Kawamoto, S.; Taniguchi, T., Sliding mode controller design based on fuzzy inference for nonlinear systems, IEEE trans. ind. electron., 40, 64-70, (1993)
[14] Kim, S.W.; Lee, J.-J., Design of a fuzzy controller with fuzzy sliding surface, Fuzzy sets syst., 71, 359-367, (1995)
[15] Br. O’Dell, Fuzzy sliding mode control: A critical review, Project Report, ACL-97-001, Advanced Control Laboratory, School of Mechanical & Aerospace Engineering, Oklahoma State University, 1997
[16] Mamdani, H., Applications of fuzzy algorithms for simple dynamic plants, Proc. IEE, 121, 1585-1588, (1974)
[17] Zadeh, L.A., Fuzzy set, Inf. control, 8, 338-353, (1965) · Zbl 0139.24606
[18] Palm, R., Robust control by fuzzy sliding mode, Automatica, 30, 1429-1437, (1994) · Zbl 0925.93501
[19] Yu, X.; Man, Z.; Wu, B., Design of fuzzy sliding mode control systems, Fuzzy sets syst., 95, 295-306, (1998) · Zbl 0948.93513
[20] Yoo, B.; Ham, W., Adaptive fuzzy sliding mode control of nonlinear systems, IEEE trans. fuzzy syst., 6, 315-321, (1998)
[21] M. Roopaei, M. Zolghadri Jahromi, Synchronization of two different chaotic systems using novel adaptive fuzzy sliding mode control 18 (2008) 033133 · Zbl 1309.34075
[22] Roopaei, Mehdi; Zolghadri Jahromi, Mansoor; Jafari, Shahram, Adaptive gain fuzzy sliding mode control for the synchronization of nonlinear chaotic gyros, Chaos, 19, 013125, (2009) · Zbl 1311.93049
[23] Yau, Her-Terng; Chen, Chaieh-li, Chattering-free fuzzy sliding-mode control strategy for uncertain chaotic systems, Chaos solitons fractals, 30, 709-718, (2006)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.