Fuzzy Based Model Predictive Control for Uncertain Nonlinear System


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In this paper, a model predictive control (MPC) scheme is investigated for uncertain nonlinear system with time delay and input constraint. First, the Takagi-Sugeno (T-S) fuzzy model is used to approximate the dynamics of nonlinear processes and the parallel distributed compensation (PDC) controllers which are parameter dependent and mirror the structure of the T-S plant model are proposed. Then a novel feedback PDC predictive controller obtained from the linear matrix inequality (LMI) solutions which can guarantee the stability of the closed-loop overall fuzzy system is put forward. Finally, a numerical example is provided to demonstrate the effectiveness and feasibility of the proposed method.



Advanced Materials Research (Volumes 383-390)

Edited by:

Wu Fan




L. Xu and F. Liu, "Fuzzy Based Model Predictive Control for Uncertain Nonlinear System", Advanced Materials Research, Vols. 383-390, pp. 2404-2410, 2012

Online since:

November 2011





[1] Zuheir, Fuzzy Model Predictive Control Algorithm Applied in Nuclear Power Plant, IEEE Trans on systems, Man and Cybernetics, 1(2): 1410–1415, (2006).

[2] M. V. Kothare, M. Morai, Robust constrained model predictive control using linear matrix inequalities, Automatica, 32(10): 1270–1275, (1996).

DOI: https://doi.org/10.1016/0005-1098(96)00063-5

[3] J. Zhang, B. Y. Ji, Fuzzy Model Predictive Control for a Class of Nonlinear Time-delay Systems, Journal of system simulation, 16(9): 2083–2085, (2004).

[4] Y. H. Yang, X. H. Liu, Robust Predictive Control for A Class of Uncertain Systems Based on State Observer, Ludong University Journal, 24(3): 206–209, (2008).

[5] H. O. Wang, K. Tanaka, M. F. Griffin, An Approach to Fuzzy Control of Nonlinear Systems Stability and Design Issues, IEEE Trans. Fuzzy Systems, 4(1): 14–23, (1996).

DOI: https://doi.org/10.1109/91.481841

[6] J. W. Wen, F. Liu, Robust Model Predictive Control for Fuzzy Systems Subject to Actuator Saturation, IEEE Trans. Fuzzy Systems, 6(3): 400–404, (2009).

DOI: https://doi.org/10.1109/fskd.2009.87

[7] S. B. Wang, Y. Y. Wang, L. K. Zhang, Parallel Distributed Compensation Fuzzy Control Based on Time-delay Predictive Controller of Time-delay T-S Model's Subsystems, IEEE Trans. Fuzzy Systems, 5: 105–109, (2008).

DOI: https://doi.org/10.1109/fskd.2008.349

[8] H. N. Wu, Reliable LQ fuzzy control for nonlinear discrete-time systems via LMIs, IEEE Trans on systems. Man and Cybernetics, 34(2): 1270–1275, (2004).

DOI: https://doi.org/10.1109/tsmcb.2003.817038

[9] H. O. WANG, J. LI, Parallel Distributed Compensation for Takagi-Sugeno Fuzzy Models, New Stability Conditions and Dynamic Feedback Designs. Acta Automatica Sinica, 27(4): 460–479, (2001).

DOI: https://doi.org/10.1016/s1474-6670(17)56915-3

[10] J. Zhang, R. Pei, F. C. Liu, Robust Model Predictive Control of Discrete Polytopic Uncertain Time-delay Systems, Journal of Harbin Institute of Technology, 35(4): 450–455, (2003).

[11] M. Lu, Study on LMI based Model Predictive Control for Systems with Time-delay, Shanghai Jiao Tong University, (2008).

[12] S. Mollov, T. van den Boom, F. Cuesta, Robust Stability Constraints for Fuzzy Model Predictive Control, 10: 50–64, (2002).

DOI: https://doi.org/10.1109/91.983278