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On-line Access: 2024-08-27

Received: 2023-10-17

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Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.10 P.1723-1732

http://doi.org/10.1631/jzus.2006.A1723


Robust model predictive control for discrete uncertain nonlinear systems with time-delay via fuzzy model


Author(s):  SU Cheng-li, WANG Shu-qing

Affiliation(s):  National Laboratory of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   sclwind@sina.com

Key Words:  Uncertain Takagi-Sugeno fuzzy model, Time-delay, Model predictive control (MPC), Linear matrix inequalities (LMIs), Robustness


SU Cheng-li, WANG Shu-qing. Robust model predictive control for discrete uncertain nonlinear systems with time-delay via fuzzy model[J]. Journal of Zhejiang University Science A, 2006, 7(10): 1723-1732.

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author="SU Cheng-li, WANG Shu-qing",
journal="Journal of Zhejiang University Science A",
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doi="10.1631/jzus.2006.A1723"
}

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%A WANG Shu-qing
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2006.A1723

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T1 - Robust model predictive control for discrete uncertain nonlinear systems with time-delay via fuzzy model
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2006.A1723


Abstract: 
An extended robust model predictive control approach for input constrained discrete uncertain nonlinear systems with time-delay based on a class of uncertain T-S fuzzy models that satisfy sector bound condition is presented. In this approach, the minimization problem of the “worst-case” objective function is converted into the linear objective minimization problem involving linear matrix inequalities (LMIs) constraints. The state feedback control law is obtained by solving convex optimization of a set of LMIs. Sufficient condition for stability and a new upper bound on robust performance index are given for these kinds of uncertain fuzzy systems with state time-delay. Simulation results of CSTR process show that the proposed robust predictive control approach is effective and feasible.

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Reference

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