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Automatic Offline Formulation of Robust Model Predictive Control Based on Linear Matrix Inequalities Method

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  • Longge Zhang

Abstract

Two automatic robust model predictive control strategies are presented for uncertain polytopic linear plants with input and output constraints. A sequence of nested geometric proportion asymptotically stable ellipsoids and controllers is constructed offline first. Then the feedback controllers are automatically selected with the receding horizon online in the first strategy. Finally, a modified automatic offline robust MPC approach is constructed to improve the closed system's performance. The new proposed strategies not only reduce the conservatism but also decrease the online computation. Numerical examples are given to illustrate their effectiveness.

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  • Longge Zhang, 2013. "Automatic Offline Formulation of Robust Model Predictive Control Based on Linear Matrix Inequalities Method," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, April.
    • Handle: RePEc:hin:jnlaaa:380105
    DOI: 10.1155/2013/380105
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    Cited by:

    1. Yan Yan & Longge Zhang, 2021. "Robust Model Predictive Control with Almost Zero Online Computation," Mathematics, MDPI, vol. 9(3), pages 1-10, January.

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