Model predictive sampled-data redesign for nonlinear systems

L. Grüne, D. Nesic, J. Pannek: Model predictive sampled-data redesign for nonlinear systems
in: Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference (ECC2005), Sevilla, Spain, 2005, 36 - 41

DOI: 10.1109/CDC.2005.1582127
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We propose a model predictive control (MPC) strategy for sampled-data implementation (with the zero order hold assumption) of continuous-time controllers for general nonlinear systems. We assume that a continuous-time controller has been designed so that the continuous-time closed-loop satisfies all performance requirements. Then, we use this control law indirectly to compute numerically a sampled-data controller via an MPC strategy that minimizes the mismatch between the solutions of the sampled-data model and the continuous-time closed-loop model. We present conditions under which stability and sub-optimality of the closed loop can be proved, sketch the numerical implementation of our method and illustrate it by numerical simulations.

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