Robust model predictive control for discrete uncertain nonlinear systems with time-delay via fuzzy model
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.
Key wordsUncertain Takagi-Sugeno fuzzy model Time-delay Model predictive control (MPC) Linear matrix inequalities (LMIs) Robustness
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- Matko, D., Kavsek-Biasizzo, K., Skrjanc, I., Music, G., 2000. Generalized Predictive Control of a Thermal Plant Using Fuzzy Model. American Control Conference. Chicago, Illinois, 3:2053–2057. [doi:10.1109/ACC.2000.879562]Google Scholar
- Nounou, H.N., Passino, K.M., 1999. Fuzzy Model Predictive Control: Techniques, Stability Issues, and Examples. Proceedings of the IEEE International Symposium on Intelligent Control. Cambridge, MA, p.423–428. [doi:10.1109/ISIC.1999.796692]Google Scholar
- Oblak, S., Skrjanc, I., 2005. Multivariable Fuzzy Predictive Functional Control of a Mimo Nonlinear System. Proceedings of the IEEE International Symposium on Intelligent Control. Limassol, Cyprus, p.1029–1034. [doi:10.1109/.2005.1467155]Google Scholar
- Yan, F., Hu, P.H., 2004. State Feedback Model Predictive Control to Complex Systems with Multi-time Delays. Proceedings of the 5th World Congress on Intelligent Control and Automation. Hangzhou, China, p.946–950. [doi:10.1109/WCICA.2004.1340749]Google Scholar