Abstract—In this article, a synthesis approach for robust model predictive control using linear matrix inequalities is presented. Uncertain time-varying parameters and bounded additive disturbances are explicitly taken into account in the controller design. Robust stability and constraint satisfaction are guaranteed by computing a positively invariant set containing the measured state at each sampling instant. The effectiveness of the proposed algorithm is illustrated by a simulation example.
Index Terms—Robust model predictive control, uncertain time-varying parameters, bounded additive disturbances.
The authors are with the Department of Chemical Engineering, Faculty of Engineering, Mahidol University, Nakhon Pathom, Thailand (email: pornchai.bum@mahidol.ac.th).
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Cite:Pornchai Bumroongsri and Siwaporn Duangsri, "Robust Model Predictive Control of Linear Time-Varying Systems with Bounded Disturbances," International Journal of Chemical Engineering and Applications vol. 5, no. 3 pp. 210-214, 2014.