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Jiang, Wei; Wang, Hong-li; Lu, Jing-hui; Qin, Wei-wei; Cai, Guang-bin

Nonfragile robust model predictive control for uncertain constrained systems with time-delay compensation. (English) Zbl 1400.93078

Math. Probl. Eng. 2016, Article ID 1945964, 14 p. (2016).
Summary: This study investigates the problem of asymptotic stabilization for a class of discrete-time linear uncertain time-delayed systems with input constraints. Parametric uncertainty is assumed to be structured, and delay is assumed to be known. In Lyapunov stability theory framework, two synthesis schemes of designing nonfragile robust model predictive control (RMPC) with time-delay compensation are put forward, where the additive and the multiplicative gain perturbations are, respectively, considered. First, by designing appropriate Lyapunov-Krasovskii (L-K) functions, the robust performance index is defined as optimization problems that minimize upper bounds of infinite horizon cost function. Then, to guarantee closed-loop stability, the sufficient conditions for the existence of desired nonfragile RMPC are obtained in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to illustrate the effectiveness of the proposed approaches.

Cited in 2 Documents

MSC:

93B40 Computational methods in systems theory (MSC2010)
93B51 Design techniques (robust design, computer-aided design, etc.)

Software:

LMI toolbox
Cite Review PDF
Full Text: DOI

References:

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