Grüne, L; Nesic, D; Pannek, J.:
Model predictive sampled-data redesign for nonlinear systems.
Proceedings of the 44th IEEE Conference on Decision and Control.
IEEE, S. 105-113, 2007.
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.