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Robust model predictive control of continuous uncertain systems*

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Abstract

The authors concern robust model predictive control for linear continuous systems with polytopic uncertainties and input constraints. At each sampling time, a piecewise constant control sequence is obtained by solving a set of linear matrix inequalities. The sufficient conditions on the existence of the model predictive control are given, and the robust stability of the closed-loop systems is guaranteed. A simulation example illustrates the efficiency of the proposed method.

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Correspondence to Xiaohua LIU.

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*This research is supported by the National Natural Science Foundation of China under Grant No. 60774016.

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LIU, X., HAN, C. Robust model predictive control of continuous uncertain systems*. J Syst Sci Complex 21, 267–275 (2008). https://doi.org/10.1007/s11424-008-9110-1

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  • DOI: https://doi.org/10.1007/s11424-008-9110-1

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