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Multirate sampling and input-to-state stable receding horizon control for nonlinear systems. (English) Zbl 1113.93055
Summary: A robust receding horizon control for multirate sampled-data nonlinear systems with bounded disturbances is presented. The proposed receding horizon control is based on the solution of Bolza-type optimal control problems for the approximate discrete-time model of the nominal system. “Low measurement rate” is assumed. It is shown that the multistep receding horizon controller that stabilizes the nominal approximate discrete-time model also practically input-to-state stabilizes the exact discrete-time system with disturbances.

##### MSC:
 93C10 Nonlinear control systems 93B51 Design techniques in systems theory 93D25 Input-output approaches to stability of control systems
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##### References:
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