Robust Model Predictive Control for Fuzzy Systems Subject to Actuator Saturation

In this paper, a robust fuzzy model predictive control (MPC) scheme is presented for a class of discrete-time nonlinear systems which can be described by uncertain T-S fuzzy models subject to actuator saturation. The system uncertainties under consideration are assumed to be time-varying and norm-bo...

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Bibliographic Details
Published inThe Sixth International Conference on Fuzzy Systems and Knowledge Discovery : proceedings, Tianjin, China, 14-16 August 2009 Vol. 6; pp. 400 - 404
Main Authors Ji-wei Wen, Fei Liu
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.08.2009
Subjects
actuator saturation
Actuators
domain of attraction
Fuzzy control
Fuzzy systems
invariant ellipsoid
model predictive control
Nonlinear systems
Predictive control
Predictive models
Robust control
semi-definite programming
Sufficient conditions
T-S fuzzy model
Time varying systems
Uncertainty
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ISBN9780769537351
0769537359
DOI10.1109/FSKD.2009.87

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Summary:In this paper, a robust fuzzy model predictive control (MPC) scheme is presented for a class of discrete-time nonlinear systems which can be described by uncertain T-S fuzzy models subject to actuator saturation. The system uncertainties under consideration are assumed to be time-varying and norm-bounded. A sufficient condition of minimizing upper bound of the cost function and asymptotical stability of the closed-loop system is established based on Lyapunov function. The proposed controller is obtained by using semi-definite programming (SDP) which can be easily solved by means of linear matrix inequalities (LMIs). Finally, a numerical example is given to verify the feasibility and efficiency of the proposed method.
ISBN:9780769537351
0769537359
DOI:10.1109/FSKD.2009.87