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Erschienen in:
2007 | OriginalPaper | Buchkapitel
Conditions for MPC Based Stabilization of Sampled-Data Nonlinear Systems Via Discrete-Time Approximations
verfasst von : Eva Gyurkovics, Ahmed M. Elaiw
Erschienen in: Assessment and Future Directions of Nonlinear Model Predictive Control
Verlag: Springer Berlin Heidelberg
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This paper is devoted to the stabilization problem of nonlinear continuous- time systems with piecewise constant control functions. The controller is to be computed by the receding horizon control method based on discrete-time approximate models. Multi-rate — multistep control is considered and both measurement and computational delays are allowed. It is shown that the same family of controllers that stabilizes the approximate discrete-time model also practically stabilizes the exact discrete-time model of the plant. The conditions are formulated in terms of the original continuoustime models and the design parameters so that they should be veri.able in advance.