Abstract
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.
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Keywords
- Model Predictive Control
- Recede Horizon Control
- Nonlinear Model Predictive Control
- Control Lyapunov Function
- Terminal Cost
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Gyurkovics, E., Elaiw, A.M. (2007). Conditions for MPC Based Stabilization of Sampled-Data Nonlinear Systems Via Discrete-Time Approximations. In: Findeisen, R., Allgöwer, F., Biegler, L.T. (eds) Assessment and Future Directions of Nonlinear Model Predictive Control. Lecture Notes in Control and Information Sciences, vol 358. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72699-9_3
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DOI: https://doi.org/10.1007/978-3-540-72699-9_3
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