Optimization based stabilization of sampled-data nonlinear systems via their approximate discrete-time models

L. Grüne, D. Nesic: Optimization based stabilization of sampled-data nonlinear systems via their approximate discrete-time models
SIAM Journal on Control and Optimization 42, 98 - 122, 2003

DOI: 10.1137/S036301290240258X
Keywords: controller design; asymptotic controllability; stabilization; numerical methods; optimal control; approximate model; discretization; sampling
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Abstract:

We present results on numerical regulator design for sampled-data nonlinear plants via their approximate discrete-time plant models. The regulator design is based on an approximate discrete-time plant model and is carried out either via an infinite horizon optimization problem or via a finite horizon with terminal cost optimization problem. In both cases we discuss situations when the sampling period T and the integration period h used in obtaining the approximate discrete-time plant model are the same or they are independent of each other. We show that using this approach practical and/or semiglobal stability of the exact discrete-time model is achieved under appropriate conditions.

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